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The following results come from two independent random samples taken of two populations. sample 1' Sample 2 (a) What is the point estimate of the difference between the two population means? (Use E1 12.) (b) Provide a 90% confidence interval for the difference between the two population means. {Use E1 E2. Round your answers to two decimal places.) E to E (c) Provide a 95% confidence interval for the difference between the two population means. (Use E1 E2. Round your answers to two decimal places.) |:|to|:| Find the following chisquare distribution values from the chisquare distribution table. (Round your answers to three decimal places.) (a) 12035 with df: 9 S (ta) 1201,25 with of: 15 S (E) 120375 with of: 10 E (d) 120.01 with df: 20 S (e) 12035 with of: 18 S A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using a: = 0.05. What is your conclusion? H0: :72 s so H3: 92 > so Use the pvalue approach. Find the value of the test statistic. :I Find the pvalue. [Round your answer to three decimal places.) State your conclusion. 0 Reject H0. We conclude that the population variance is greater than 50. 0 Do not reject H0. We conclude that the population variance is greater than 50. O Reject H0. We conclude that the population variance is not greater than 50. 0 Do not reject H0. We conclude that the population variance is not greater than 50. Use the critical value approach. Find the value of the test statistic. :| State the critical values for the rejection rule. (Round your answers to three decimal places. If the test is oneetailed, enter NONE for the unused tail.) test statistic : |:| test statistic z |:| State your conclusion. Find the following F distribution values from the F distribution table. (Round your answers to two decimal places.) (a) F035 with degrees of freedom 4 and 15 |:| (b) Ft] 025 with degrees of freedom 30 and 25 |:| (c) F0 01 with degrees of freedom 8 and 12 :l (d) F0 10 with degrees of freedom 1E]I and 20 |:| Laullalucl we .uuumug Ilypuuicaia lGDL. . 2 _ 2 H0. 512 (722 Ha: 0'1 5* :72 2 (a) What is your conclusion ifnl = 21, s1 = 4.2, :72 = 26, and 522 = 2.0? Use a: = 0.05 and the pvalue approach. Find the value of the test statistic. E Find the pvalue. (Round your answer to four decimal places.) State your conclusion. 0 Reject H0. We cannot conclude that 912 s 522. 0 Do not reject H0. We cannot conclude that 512 522. O Reject H0. We can conclude that 012 s 922. 0 Do not reject Ho. We can conclude that 012 # 022. (la) Repeat the test using the critical value approach. Find the value of the test statistic. E State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused tail.) test statistic g \\:| test statistic 2 \\:| Consider the following hypothesis test. Ho: H1 - H250 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 X 1 = 25.7 X7 = 22.8 71 = 5.1 5 7 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) (c) With a = 0.05, what is your hypothesis testing conclusion? O Reject H . There is sufficient evidence to conclude that #, - #, > 0. Do not Reject Ho. There is sufficient evidence to conclude that , - #2 > 0. O Do not reject Ho. There is insufficient evidence to conclude that my - #2 > 0. O Reject H . There is insufficient evidence to conclude that u, - u, > 0.The following results are for independent random samples taken from two populations. sample: samurai; (a) What is the point estimate of the difference between the two population means? (Use E1 12.) |:| (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) E (c) At 95% condence, what is the margin of error? (Round your answer to one decimal place.) |:| (d) what is the 95% condence interval for the difference between the two population means? [Use E1 ;2. Round your answers to one decimal place.) |:|t|:| Ho: H1 - H2 = 0 Ha: H1 - My # 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n, = 35 n, = 40 X1 = 13.6 x2 = 10.1 S, = 5.8 $, = 8.1 (a) What is the value of the test statistic? (Use x, - x,. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) At a = 0.05, what is your conclusion? O Reject H. There is insufficient evidence to conclude that , - #2 # 0. O Do not Reject Ho. There is insufficient evidence to conclude that , - #2 # 0. O Do not Reject Ho. There is sufficient evidence to conclude that , - 2 # 0.Consider the following data for two independent random samples taken from two normal populations. Sample 1 10 7 13 8 Sample 2 8 7 6 9 (a) Compute the two sample means. Sample 1 Sample 2 (b) Compute the two sample standard deviations. (Round your answers to two decimal places.) Sample 1 Sample 2 (c) What is the point estimate of the difference between the two population means? (Use Sample 1 - Sample 2.) (d) What is the 90% confidence interval estimate of the difference between the two population means? (Use Sample 1 - Sample 2. Round your answers to two decimal places.) toConsider the following results for independent samples taken from two populations. Sample 1 Sample 2 n, = 400 n, = 300 P1 = 0.53 P2 = 0.33 (a) What is the point estimate of the difference between the two population proportions? (Use P, - P2.) (b) Develop a 90% confidence interval for the difference between the two population proportions. (Use p, - p2. Round your answer to four decimal places.) to (c) Develop a 95% confidence interval for the difference between the two population proportions. (Use p, - p,. Round your answer to four decimal places.) toConsider the hypothesis test. Ho: P1 - P2 0 H: P1 - P, > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n1 = 200 n, = 300 P1 = 0.22 P2 = 0.16 (a) Calculate the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (b) With a = 0.05, what is your hypothesis testing conclusion? O Do not Reject Ho. There is sufficient evidence to conclude that P, - P2 > 0. O Do not reject H . There is insufficient evidence to conclude that P, - p2 > 0. O Reject Ho. There is sufficient evidence to conclude that P, - P, > 0. O Reject Ho. There is insufficient evidence to conclude that P, - P2 > 0.You may need to use the appropriate appendix table or technology to answer this question. A survey asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will he an increase in the number of fulltime employees at your company over the next 12 months?" In the current survey, 228 of 400 executives answered Yes, while in a previous year survey, 172 of 400 executives had answered Yes. Provide a 95% condence interval estimate for the difference between the proportions at the two points in time. (Use current year previous year. Round your answer to four decimal places.) E to E what is your interpretation of the interval estimate? The 95% condence interval zero. This suggests that the proportion of executives who are predicting an increase in fulltime jobs for the current year is than the proportion of executives who were predicting an increase in fulltime jobs for the previous year
