Exercises pertain to P-values for a one-mean t-test. For each exercise, do the following tasks. a. Use Table IV in Appendix A to estimate the P-value. b. Based on your estimate in part (a), state at which significance levels the null hypothesis can be rejected, at which significance levels it cannot be rejected, and at which significance levels it is not possible to decide. Left-tailed test, n = 10, and t = 3.381

The test statistic of z=1.54 is obtained when testing the claim that p=0.723. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a=0.10, should we reject H0 or should we fail to reject H0?

Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total # of apples purchased 1023 1023 1066 1151 4263 (a) In performing this statistical test, state the hypotheses. H0: the observed number of apples people purchased is the same for each season vs. HA: the observed number of apples people purchased is not the same for each season H0: the distribution of apples people purchased is not the same for each season vs. HA: the distribution of apples people purchased is the same for each season H0: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season H0: the total number of apples people purchased is not the same for each season vs. HA:…

Test the claim that the mean GPA of night students is significantly different than 2.5 at the 0.1 significance level. The null and alternative hypothesis would be: Ho: µ 2 2.5 Ho:p 0.625 Ho:p= 0.625 Ho: µ 0.625 H1:p 2.5 H:µ + 2.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 60 people, the sample mean GPA was 2.47 with a standard deviation of 0.07 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis

Test the claim that the mean GPA of night students is significantly different than 3.3 at the 0.1 significance level. The null and alternative hypothesis would be: H,:p > 3.3 H:p 0.825 Ho:p H1:µ 0.825 H:p 3.3 H1: µ # 3.3 0.825 Ho:p < 3.3 Ho:p = 3.3 The test is: left-tailed right-tailed two-tailed Based on a sample of 80 people, the sample mean GPA was 3.25 with a standard deviation of 0.07 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis Reject the null hypothesis

We have given the value obtained for the test statistic, z, in a one-mean z test. We have also specified whether the test is two tailed, left tailed, or right tailed. Determine the P-value in each case and decide whether, at the 5% significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. a. Right tailed test: z= 2.03 b. Left tailed test: z= -1.84 c. Two-tailed test: z= 3.08 Please also give excel command needed to calculate each of the p-values for each of the questions