1. A factory manager needs to understand how many products are defective versus how many are produced. The number of expected defects is listed in Table A. A random sample was taken to determine the actual number of defects. This information is contained in Table B below. Table A Number produced 0-100 101-200 201-300 301-400 401-500 Number defective 5 6 7 8 10 Number produced 0-100 101-200 201-300 301-400 Table B 401-500 Number Defective 5 7 8 9 11

A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.3 8.3 20.4 17.3 9.1 17.2 16.5 8.7 10.9 19.2 22.8 14.2 8.8 10.2 5.5 21.4 16.1   19.2 19.3   (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT =   SSBET =   SSW =   Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET =   dfW =   MSBET =   MSW =   Find the value of the sample F statistic. (Round your answer to three decimal…

A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.9 8.8 20.6 17.7 9.8 17.9 16.8 8.7 10.7 19.8 22.6 14.1 8.5 10.3 5.8 21.7 16.9   19.3 19.5 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT =   SSBET =   SSW =   Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET =   dfW =   MSBET =   MSW =   Find the value of the sample F statistic. (Round your answer to three decimal…

2. Jim Miller works in the personnel department for a car company. He is told by his supervisor to investigate the difference in the average number of sick days between blue collar workers and whitecollar workers. So he obtained a random sample of 9 blue collar workers and a random sample of 9 white collar workers. He records the results below.At 10% level of significance, is there sufficient evidence to indicate a difference in mean sick days between blue collar workers and white collar workers.

You decide that you want to make sure your estimate from part a is correct. You go out and gather 10 simple random samples of 25 people in your school and calculate the proportion of students within each sample whose Amazon packages arrive within two business days of ordering.  The proportion of customers that receive their packages within two days of ordering are given below.  0.70, 0.75, 0.6, 0.95, 0.90, 0.73, 0.87, 0.86, 0.92, 0.97 Explain why all of the sample proportions are not the same.

The age of first marriage for women who responded to a survey by the CDC between 2006 and 2010 is used here. The women who first married in their twenties were randomly divided into three groups: A, B, and C. The ANOVA output is supplied below: Count NAS (Missings) 3773 group Count A 1288 B 1246 C 1239 Frequency Source DF 2 group Residual 3770 28 26 24 Response Variable (age) Summary Mean 22 20 T 0 Group Variable Summary NAS Mean (Missings) 23.73787 A 0 23.76941 0 23.77929 0 23.66344 ANOVA Table: age-group Sum of Squares 10.283 26969 Mean Square Std. Dev. Std. Dev. 2.674442 B F Value Pr>F MSG 0.71875 0.48743 MSE Age of First Marriage in 20's 2.728097 2.664101 2.628699 C

The data is as follows: 2 0's, 6 1's, 10 2's, 32 3's, 50 4's, 69 5's, 50 6's, 38 7's, 19 8's, 12 9's, and 4 10's.

The table below shows the auto insurance quotes for two leading companies for a sample of 15 families. Assume the populations SDs are similar, but unknown. The President of the American Insurance Institute wants to compare the yearly costs of such insurance offered by the two companies. At the 0.10 level of significance, can we conclude that there is a difference in the amounts quoted? Families Southern Car American Mutual   ($) ($) 1 2090 1610 2 1683 1247 3 1402 2327 4 1830 1367 5 930 1461 6 697 1789 7 1741 1621 8 1129 1914 9 1018 1956 10 1881 1772 11 1571 1375 12 874 1527 13 1579 1767 14 1577 1636 15 860 1188

A governmental agency computed the proportion of violent crimes in the United States in a particular year falling into each of four categories. A simple random sample of 500 violent crimes committed in California during that year were categorized in the same way. The following table presents the results. Category U.S.Proportion CaliforniaFrequency Murder 0.018 4 Forcible Rape 0.07 35 Robbery 0.390 218 Aggravated Assault 0.522 243   Can you conclude that the proportions of crimes in the various categories in California differ from those in the United States as a whole? Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator. (b) Find the P-value. Round the answer to at least four decimal places.

4.A college student is interested in whether there is a difference between male and female students in the amount of time they spend studying each week period the student gathers information from a random sample of male and female students on campus. The amount of time spent studying is normally distributed. The data are: Male      Female 27          25 25           29           19           18 10           23           16           20 22           15 14           19   What statistical test should be done to analyze these data? Identify Ho and Ha for this study. Conduct the appropriate analysis. Should Ho be rejected? What should the researcher conclude? If significant, compute and interpret the effect size.