A study was done to see if there is a difference between the number of sick days men take and the number of sick days women take. A random sample of 9 men found that the mean of the number of sick days taken was 5.5. The standard deviation of the sample was 1.23. A random sample of 7 women found that the mean was 4.3 days and a standard deviation of 1.19 days. At a = 0.05, can it be concluded that there is a difference in the means? (a) State the null and alternative hypotheses and identify the claim to test. (b) Using level of significance a = 0.05, find the test statistic and the critical value, and make your conclusion about the hypothesis test. (c) Find the P-value and show the comparison with a = 0.05, and make your conclusion about the hypothesis test. (d) Find the 95% confidence interval for the differences between the means and explain why it agrees with the previous results in (b) and (c) above. A study was done to see if there is a difference between the number of sick days men take and the number of sick days women take. A random sample of 9 men found that the mean of the number of sick days taken was 5.5. The standard deviation of the sample was 1.23. A random sample of 7 women found that the mean was 4.3 days and a standard deviation of 1.19 days. At a = 0.05, can it be concluded that there is a difference in the means? (a) State the null and alternative hypotheses and identify the claim to test. (b) Using level of significance a = 0.05, find the test statistic and the critical value, and make your conclusion about the hypothesis test. (c) Find the P-value and show the comparison with a = 0.05, and make your conclusion about the hypothesis test. (d) Find the 95% confidence interval for the differences between the means and explain why it agrees with the previous results in (b) and (c) above. A study was done to see if there is a difference between the number of sick days men take and the number of sick days women take. A random sample of 9 men found that the mean of the number of sick days taken was 5.5. The standard deviation of the sample was 1.23. A random sample of 7 women found that the mean was 4.3 days and a standard deviation of 1.19 days. At a = 0.05, can it be concluded that there is a difference in the means? (a) State the null and alternative hypotheses and identify the claim to test. (b) Using level of significance a = 0.05, find the test statistic and the critical value, and make your conclusion about the hypothesis test. (c) Find the P-value and show the comparison with a = 0.05, and make your conclusion about the hypothesis test. (d) Find the 95% confidence interval for the differences between the means and explain why it agrees with the previous results in (b) and (c) above. A study was done to see if there is a difference between the number of sick days men take and the number of sick days women take. A random sample of 9 men found that the mean of the number of sick days taken was 5.5. The standard deviation of the sample was 1.23. A random sample of 7 women found that the mean was 4.3 days and a standard deviation of 1.19 days. At a = 0.05, can it be concluded that there is a difference in the means? (a) State the null and alternative hypotheses and identify the claim to test. (b) Using level of significance a = 0.05, find the test statistic and the critical value, and make your conclusion about the hypothesis test. (c) Find the P-value and show the comparison with a = 0.05, and make your conclusion about the hypothesis test. (d) Find the 95% confidence interval for the differences between the means and explain why it agrees with the previous results in (b) and (c) above.