.Let x be a continuous random variable. What is the probability that x assumes a single value, such as a (use numerical value)? 2. The following are the three main characteristics of a normal distribution. The total area under a normal curve equals _____. A normal curve is ___________ about the mean. Consequently, 50% of the total area under a normal distribution curve lies on the left side of the mean, and 50% lies on the right side of the mean. Fill in the blank. The tails of a normal distribution curve extend indefinitely in both directionswithout touching or crossing the horizontal axis. Although a normal curve never meets the ________ axis, beyond thepoints represented by µ -3? to µ+3?it becomes so close to thisaxis that the area under the curve beyond these points in both directions is very close to zero. 3. For the standard normal distribution, find the area within one standard deviation of the mean that is, the area between ? ? ? and ? + ?.Round to four decimal places. 4.Find the area under the standard normal curve. Round to four decimal places. a)between z = 0 and z = 1.95 b)between z = 0 and z = ?2.05 c)between z = 1.15 and z = 2.37 d)from z = ?1.53 to z = ?2.88 e)from z = ?1.67 to z = 2.24 5.ThedatatheTable7.2providesanitTheacalledTable7.5providesan A.Probability distribution B.Population distribution C.Normal distribution D.Sampling distribution 6. ___________ is the difference between the value of the sample statistic and the value ofthe corresponding population parameter, assuming that the sample is random and nonon-sampling error has been made. Example 7–1 in the text displays sampling error. Sampling error occurs only in sample surveys. 7. Consider the following population of 10 numbers. 20 25 13 19 9 15 11 7 17 30 a)Find the population mean. Round to two decimal places. b)Rich selected one sample of nine numbers from this population. The sample included the numbers 20, 25, 13, 9, 15, 11, 7, 17, and 30. Calculate sampling error for this sample. Round to decimal places. 8. Fill in the blank. The F distribution is ________ and skewed to the right. The Fdistribution hastwo numbers of degrees of freedom: dffor the numerator and dffor the denominator. The unitsof an Fdistribution, denoted by F, are nonnegative. 9. Find the critical value of F for the following. Round to two decimal places. a)df = (3, 3) and area in the right tail = .05 b)df = (3, 10) and area in the right tail = .05 c)df = (3, 30) and area in the right tail = .05 10. The following ANOVA table, based on information obtained for three samples selected from three independent populations that are normally distributed with equal variances, has a few missing values. Source of Variation Degrees of Freedom Sum of Squares Mean Square Value of the Test Statistic Between 2 II 19.2813 Within 89.3677 III F = ___V__ = VII VI Total 12 IV a)Find the missing values and complete the ANOVA table. Round to four decimal places. b)Using ? = .01, what is your conclusion for the test with the null hypothesis that the means of the three populations are all equal against the alternative hypothesis that the means of the three populations are not all equal? Reject H0. Conclude that the means of the three populations are equal. Reject H0. Conclude that the means of the three populations are not equal. Do not reject H0. Conclude that the means of the three populations are equal. Do not reject H0. Conclude that the means are of the three populations are not equal.
Practice Set 2 Latest 2017 Version
. List the simple events for each of the following statistical experiments in a sample space. a)One roll of a die. Note: Separate your response with a comma (,). For example 22, 23, 24 b)Three tosses of a coin. Note: Use this notation for your answer. heads = H. tails = T. For example HT, TH c)One toss of a coin and one roll of a die. Note: Use this notation. Heads = H or numbers 1, 2, 3, 4, 5, 6 for the dice. For example H1 indicates heads and dice roll equal to 1. 2. Two students are randomly selected from a statistics class, and it is observed whether or not they suffer from math anxiety. Indicate which are simple and which are compound events. a)Both students suffer from math anxiety. b)Exactly one student suffers from math anxiety. c)The first student does not suffer and the second suffers from math anxiety. d)None of the students suffers from math anxiety. 3. A hat contains 40 marbles. Of them, 18 are red and 22 are green. If one marble is randomly selected out of this hat. a)What is the probability that this marble is red (round to two decimal places)? b)What is the probability that this marble is green (round to two decimal places? 4. Two thousand randomly selected adults were asked whether or not they have ever shopped on the Internet. The following table gives a two-way classification of the responses. Have Shopped Have Never Shopped Male 500 700 Female 300 500 a)If one adult is selected at random from these 2000 adults, find the probability that this adult has never shopped on the Internet. b)If one adult is selected at random from these 2000 adults, find the probability that this adult is a male. c)If one adult is selected at random from these 2000 adults, find the probability that this adult has shopped on the Internet given that this adult is a female. d)If one adult is selected at random from these 2000 adults, find the probability that this adult is a male given that this adult has never shopped on the Internet. 5. Find the joint probability of AA and BB for the following. a) and b) and 6. Classify each of the following random variables as discrete or continuous. a)The time left on a parking meter b)The number of bats broken by a major league baseball team in a season c)The number of cars in a parking lot at a given time d)The price of a car e)The number of cars crossing a bridge on a given day f)The time spent by a physician examining a patient g)The number of books in a student’s bag 7. The following table gives the probability distribution of a discrete random variable x. x 0 1 2 3 4 5 6 P(x) .11 .19 .28 .15 .12 .09 .06 Find the following probabilities. a) b)Probability that assumes a value less than 4. Probability that x assumes a value greater than 2. 8. A limousine has eight tires on it. A fleet of such limos was fit with a batch of tires that mistakenly passed quality testing. The following table lists the probability distribution of the number of defective tires on this fleet of limos where xx represents the number of defective tires on a limo and P(x) is the corresponding probability. x 0 1 2 3 4 5 6 7 8 P(x) .0454 .1723 .2838 .2669 .1569 .0585 .0139 .0015 .0008 Calculate the mean and standard deviation of this probability distribution. Give a brief interpretation of the values of the mean and standard deviation. 9. Let xx be a discrete random variable that possesses a binomial distribution. Using the binomial formula, find the following probabilities. a)(5) for and b)(3) for and Verify your answers by using Table I of Appendix B. 10. Let x be a discrete random variable that possesses a binomial distribution. If n = 5 and p = 0.8, then… a)What is the mean (round to three decimal places) b)What is the standard deviation of the probability distribution (round to three decimal places)?
PRACTICE SET 1 Latest 2017 Version
1. The following table lists the number of deaths by cause as reported by the .cdc.gov/”>Centers for Disease Control and Prevention on February 6, 2015: Cause of Death Number of Deaths Heart disease 611,105 Cancer 584,881 Accidents 130,557 Stroke 128,978 Alzheimer’s disease 84,767 Diabetes 75,578 Influenza and Pneumonia ?56,979 Suicide ?41,149 What is the variable for this data set (use words)? How many observations are in this data set (numeral)? How many elements does this data set contain (numeral)? 2. Indicate which of the following variables are quantitative and which are qualitative. Note:Spell quantitative and qualitative in lower case letters. The amount of time a student spent studying for an exam The amount of rain last year in 30 cities The arrival status of an airline flight (early, on time, late, canceled) at an airport A person’s blood type The amount of gasoline put into a car at a gas station 3. A local gas station collected data from the day’s receipts, recording the gallons of gasoline each customer purchased. The following table lists the frequency distribution of the gallons of gas purchased by all customers on this one day at this gas station. Gallons of Gas Number of Customers 4 to less than 8 ?78 8 to less than 12 ?49 12 to less than 16 ?81 16 to less than 20 117 20 to less than 24 ?13 How many customers were served on this day at this gas station? Find the class midpoints. Do all of the classes have the same width? If so, what is this width? If not, what are the different class widths? What percentage of the customers purchased between 4 and 12 gallons? (do not include % sign. Round numerical value to one decimal place) 4. The following data give the one-way commuting times (in minutes) from home to work for a random sample of 50 workers. 23 17 34 26 18 33 46 42 12 37 44 15 22 19 28 32 18 39 40 48 16 11 ?9 24 18 26 31 ?7 30 15 18 22 29 32 30 21 19 14 26 37 25 36 23 39 42 46 29 17 24 31 What is the frequency for each class 0–9, 10–19, 20–29, 30–39, and 40–49. Calculate the relative frequency and percentage for each class. What percentage of the workers in this sample commute for 30 minutes or more? Note:Round relative frequency to two decimal places. Complete the table by calculating the frequency, relative frequency, and percentage. Commuting Times Frequency (part a) Relative Frequency (part c) Percentage (%) (part d) 0-9 ? 0.?? ? 10-19 ? 0.?? ? 20-29 ? 0.?? ? 30-39 ? 0.?? ? 40-49 ? 0.?? ? 5. The following data give the number of text messages sent on 40 randomly selected days during 2015 by a high school student. 32 33 33 34 35 36 37 37 37 37 38 39 40 41 41 42 42 42 43 44 44 45 45 45 47 47 47 47 47 48 48 49 50 50 51 52 53 54 59 61 Each stem has been displayed (left column). Complete this stem-and-leaf display for these data. Note: Use a space in between each leaf. For example 1 2 3 4 5 6 7 8 9 (do not use this format 123456789). 3 ?… 4 ?… 5 ?… 6 ?… 6 A) Which of the five measures of center (the mean, the median, the trimmed mean, the weighted mean, and the mode) can be calculated for quantitative data only. B) Which can be calculated for both quantitative and qualitative data? 7. Prices of cars have a distribution that is skewed to the right with outliers in the right tail. Which of the measures of center is the best to summarize this data set? 8. The following data give the amounts (in dollars) of electric bills for November 2015 for 12 randomly selected households selected from a small town. 205 265 176 314 243 192 297 357 238 281 342 259 Calculate the (a) mean, (b) median and (c) Is there a mode (Yes or No)? 9. The following data give the prices of seven textbooks randomly selected from a university bookstore. $89 $170 $104 $113 $56 $161 $147 a) Find the mean for these data (input the numerical value without the dollar sign). Calculate the deviations of the data values from the mean. b) Is the sum of these deviations zero (yes or no)? c) Calculate the range (do not include unit). d) Calculate the variance. e) Calculate the standard deviation (round to one decimal place). 10. The following data give the speeds of 13 cars (in mph) measured by radar, traveling on I-84. 73 75 69 68 78 69 74 76 72 79 68 77 71 Find the values of the three quartiles and the interquartile range. Calculate the (approximate) value of the 35th percentile (round to two decimal places). Compute the percentile rank of 71 (round to two decimal places. Do not include the % symbol). Note: Round to two decimal places. Do not include unit.
American History – Importance of non-written records
The study of history should be based on much more than just written records. In an interpretive writing of 4 paragraphs, supported by TWO specific examples, discuss the importance of non-written records to our understanding of American history.
The Future of Cities – Define the terms megacities
using the information from Chapter 1 of the Slone text and the 18-minute Oscar Boyson video, “The Future of Cities” Define the terms “megacities” and “developing world”. Describe three of the major risks and challenges associated with living in Asian megacities. Discuss three strategies that chapter author Theo Kotter proposes for improving the quality of life in megacities.
Daniel Boone – real vs legendary
) In what ways does the “real” Daniel Boone differ from the “legendary” Daniel Boone? Discuss at least two specific examples. Why do you think Boone has become such a legendary figure? Who are our “legends” today? Discuss at least one specific example. Please site some original thoughts.
U.S. Foreign Policy Changes in Imperialism
The United States entered World War II as a strong opponent of imperialism , even when it involved allies. Yet, by 1950 , and certainly by 1954 the US supported French efforts to maintain control of IndoChina. 1. How and why did Foreign Policy change between 1945 – 1954? 2. Describe what international and domestic factors caused the US to view Ho Chi Minh, the French and the world differently. 3. Which US leaders were responsible for these changes? 4. Were these changes valid considering the overall world situation following World War II ?
Policies and Laws Endorsed by the Progressives
1. Which of the following was NOT a policy or law endorsed by the progressives? a. the popular election of U.S. senators b. the pure food and drug act c. the child labor act d. the workman’s compensation act e. the reconstruction finance corporation 2. Which of the following was NOT a cause of the great depression? a. unhealthy stock market speculation b. a slump in farm income throughout the 1920s c. a sudden cutback in federal spending on welfare programs d. the distribution of income 3. Which of the following did NOT support the anti-war movement in the 1960s? a. “hard hats” b. The New Left c. Civil rights leaders d. The counter-culture 4. World War II did NOT encourage: a. greater “freedom” for women b. more job opportunities for women c. greater spending power for the working and middle classes d. less resistance to racial integration 5. The collective security pact that the USA signed with its western European allies in 1949 required that every member: a. consider an attack on one as an attack on all b. refer all cases of armed aggression to the U.N. c. declare neutrality in case an allied state went to war d. submit all disputes with the USSR to arbitration e. none of the above 6. Which of the following was NOT among the legacies of the government-sponsored socioeconomic reforms of the early 1960s? a. a radical increase in federal spending b. a substantial decrease in poverty during that decade c. economic improvement in which blacks and whites shared in about the same proportion d. a national consensus on the need for more energetic federal efforts to solve social problems 7. With regards to the origins of the post-World War II conflict between the USA and the USSR, revisionist historians tend to blame: a. the USA b. the USSR c. Red China d. European colonialism e. None of the above 8. Which of the following did NOT occur in the 1950s? a. union membership declined b. unemployment remained low c. corporate profits declined d. industrial wages increased 9. Which of the following was NOT a major post-WWII issue between the US and the USSR? a. the division of Europe b. postwar economic aid c. the division of China into spheres of influence d. control of atomic weapons 10. Eisenhower’s defense policy was designed to avoid: a. increasing the power of the armed forces b. budgetary problems for the nation c. committing the US to the role of world policemen d. becoming involved in the internal affairs of other countries 11. Regarding the Cuban struggle for independence in the mid-1890s, Americans in general were: a. hostile towards the rebels b. sympathetic toward Spain c. completely indifferent d. convinced that Spanish rule in Cuba was cruel and arbitrary 12. During the 1920s, there was no dramatic increase in which of the following economic indicators: a. output per worker b. per capita income c. income taxes d. gross national product 13. As a result of World War I, the US: a. was left a united nation for the first time in generations b. was transformed from a debtor to a creditor nation c. renewed its commitment to progressivism in the post-war era d. faced greater problems in competing for foreign markets 14. Which of the following was NOT a cause of the Great Depression? a. unhealthy stock market speculation b. a slump in farm income throughout the 1920s c. a sudden cutback in federal spending on welfare programs d. the distribution of income 15. Herbert Hoover believed in all of the following except: a. the role of the government in American society should be sharply limited b. American society should place primary emphasis on individualism, rather than collectivism c. Federal budgets should be balanced d. When the private sector failed to act, the government should take the lead in developing necessary social programs 16. After World War I, the US: a. lowered tariffs to encourage trade b. was the richest nation on earth c. championed collective security d. cancelled its allies’ war debts
Policies and Laws Endorsed by the Progressives
Policies and Laws Endorsed by the Progressives 1. Which of the following was NOT a policy or law endorsed by the progressives? a. the popular election of U.S. senators b. the pure food and drug act c. the child labor act d. the workman’s compensation act e. the reconstruction finance corporation 2. Which of the following was NOT a cause of the great depression? a. unhealthy stock market speculation b. a slump in farm income throughout the 1920s c. a sudden cutback in federal spending on welfare programs d. the distribution of income 3. Which of the following did NOT support the anti-war movement in the 1960s? a. “hard hats” b. The New Left c. Civil rights leaders d. The counter-culture 4. World War II did NOT encourage: a. greater “freedom” for women b. more job opportunities for women c. greater spending power for the working and middle classes d. less resistance to racial integration 5. The collective security pact that the USA signed with its western European allies in 1949 required that every member: a. consider an attack on one as an attack on all b. refer all cases of armed aggression to the U.N. c. declare neutrality in case an allied state went to war d. submit all disputes with the USSR to arbitration e. none of the above 6. Which of the following was NOT among the legacies of the government-sponsored socioeconomic reforms of the early 1960s? a. a radical increase in federal spending b. a substantial decrease in poverty during that decade c. economic improvement in which blacks and whites shared in about the same proportion d. a national consensus on the need for more energetic federal efforts to solve social problems 7. With regards to the origins of the post-World War II conflict between the USA and the USSR, revisionist historians tend to blame: a. the USA b. the USSR c. Red China d. European colonialism e. None of the above 8. Which of the following did NOT occur in the 1950s? a. union membership declined b. unemployment remained low c. corporate profits declined d. industrial wages increased 9. Which of the following was NOT a major post-WWII issue between the US and the USSR? a. the division of Europe b. postwar economic aid c. the division of China into spheres of influence d. control of atomic weapons 10. Eisenhower’s defense policy was designed to avoid: a. increasing the power of the armed forces b. budgetary problems for the nation c. committing the US to the role of world policemen d. becoming involved in the internal affairs of other countries 11. Regarding the Cuban struggle for independence in the mid-1890s, Americans in general were: a. hostile towards the rebels b. sympathetic toward Spain c. completely indifferent d. convinced that Spanish rule in Cuba was cruel and arbitrary 12. During the 1920s, there was no dramatic increase in which of the following economic indicators: a. output per worker b. per capita income c. income taxes d. gross national product 13. As a result of World War I, the US: a. was left a united nation for the first time in generations b. was transformed from a debtor to a creditor nation c. renewed its commitment to progressivism in the post-war era d. faced greater problems in competing for foreign markets 14. Which of the following was NOT a cause of the Great Depression? a. unhealthy stock market speculation b. a slump in farm income throughout the 1920s c. a sudden cutback in federal spending on welfare programs d. the distribution of income 15. Herbert Hoover believed in all of the following except: a. the role of the government in American society should be sharply limited b. American society should place primary emphasis on individualism, rather than collectivism c. Federal budgets should be balanced d. When the private sector failed to act, the government should take the lead in developing necessary social programs 16. After World War I, the US: a. lowered tariffs to encourage trade b. was the richest nation on earth c. championed collective security d. cancelled its allies’ war debts
Socialization – Social Interaction in Everyday Life
Purpose: To research a social setting and observe social interaction. Instructions: Visit an area where you can discretely observe social interaction (i.e., a cafeteria, a restaurant, the mall, a social event, etc.) and complete the summary and analysis below. Before conducting your observation, review the following concepts from your text: Review the symbolic interaction approach (pages 20-22) Chapter 5: Socialization Chapter 6: Social Interaction in Everyday Life The Activity: Spend some time (minimum of 15 minutes) quietly observing what is going on and briefly summarize what different persons in the setting were doing. Summary and Analysis: Once you have completed your observation and made notes, analyze the patterns of social interaction that you observed and respond to the following: 1) Describe the context for your observation. This includes the location, setting, type of people observed, time of day, day of week length of observation, etc. You may also include any other details you deem relevant. 2) What examples of socialization did you notice? This may include the process of socialization in progress (i.e. a parent encouraging their child to use good table manners) or evidence of the effects of socialization (i.e. waiting politely in a long line). 3) Give at least three examples of each of the following that you observed during your interaction: ascribed status, achieved status, and roles. 4) Describe at least five examples of social exchange that you noticed and discuss the potential impact (helpful, disruptive, etc.) on the individuals involved. 5) What examples of “gendered” interaction did you notice regarding the ways in which women and men are socialized regarding demeanor, uses of space, starting, touching, smiling, and language. Explain whether or not this was consistent with what you learned in chapter 6 (pages 165-166 and 170).