2.
Hypothesis Test for Two Populations including
Suppose we are comparing two population means, µ1 and µ2, and consider their difference, µ 1 - µ 2. If the alternative hypothesis contains the statement HA: µ 1 - µ 2 < 0, which of the following is an equivalent statement to HA?
Group of answer choices
a. µ1 is larger than µ2
b. µ1 is smaller than µ2
c. µ1 is the same size as µ2
2. Hypothesis Test for Two Populations including t-Test for μ1-μ1 t-Test for μd F-Test for Suppose...
10. Hypothesis Test for Two Populations including t-Test for μ1-μ1 t-Test for μd F-Test for We are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 21 days of sales at Store A and a sample of 16 days of sales at Store B indicated the following Store A Store B nA=21 nB=16 SA=28.284 SB=20 Which of the following is critical values of F at 95% confidence? Group...
Given H0: μ1 = μ2 and Ha: μ1 ≠ μ2, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Group of answer choices right-tailed left-tailed two-tailed
Assume that both populations are normally distributed. (a) Test whether μ1≠μ2 at the α=0.01 level of significance for the given sample data. (b) Construct a 9999% confidence interval about 1−μ2. Population 1 Population 2 n 10 10 x overbarx 10.1 8.9 s 2.4 2.3 (a) Test whether μ1≠μ2 at the α=0.01 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. Detemine the P-value for this hypothesis test. P=________. (Round to three decimal...
5. A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Men Women µ µ1 µ2 N 11 59 xˉ 97.52°F 97.37°F S 0.85°F 0.71°F a. Test the claim that men have...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 80 n2 = 70 x1 = 104 x2 = 106 σ1 = 8.4 σ2 = 7.2 (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.)...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.9 s2 = 8.5 (a) What is the value of the test statistic? (Use x1 − x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean d⎯⎯ =4.6d¯ =4.6 of and a sample standard deviation of sd = 7.6. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ , ] ;...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean d¯ =5.0d¯ =5.0 of and a sample standard deviation of sd = 7.8. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ , ] ;...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean d¯ =4.2 of and a sample standard deviation of sd = 7.6. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ ? , ?...
2) Use critical values and p-values to test the null hypothesis H0: μ1 − μ2 ≤ 20 versus the alternative hypothesis Ha: μ1 − μ2 > 20 by setting α equal to .10. How much evidence is there that the difference between μ1 and μ2 exceeds 20?