When testing for the population mean mu using an upper tail z-test which of the
ID: 3257586 • Letter: W
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When testing for the population mean mu using an upper tail z-test which of the following is sufficient to determine the rejection region? a. z_alpha and alpha b. Sample mean c. The alternative hypothesis and beta d. Sample mean and the null hypothesis for mu e. Type II error rate When testing for the population mean mu using a z-test with known population standard deviation, which of the following is sufficient to calculate the test statistic? a. The sample size and the level of the test b. The sample mean and the null hypothesis c. The observed data set and the hypothesized value d. The sample mean and Type I error rate e. The sample mean and the sample standard deviation The hypotheses in a z-test for the population mean are H_o: mu greaterthanorequalto 10, H_a: mu 0. Which of the following is true for Type I error rate alpha and Type II error rate beta? a. alpha and beta can be fixed independently of each other Assume that the true distribution of the test statistic is normal with mean mu = 10. Given a sample of size n, we would like to test H_o: mu lessthanorequalto 0, H_a mu > 0. Which of the following is true for Type I error rate alpha, and Type II error rate beta? a. alpha and beta can be fixed independently of each otherExplanation / Answer
12) zalpha gives us the critical value which in turn gives us the rejection region and we can reject the hypothesis via alpha. hence option A
13) Option e as we need the sample mean and standard deviation to find the pooled variance and thus the standard error
14) The TSV or test stastic value is 0 here which when looked in the z table gives us a p value of 0.5. Hence Option A
15) The p-value is the likelihood of the observed data, given that the null hypothesis is true. The p-value is, in future experiments, the probability of obtaining results as "extreme" or more "extreme" given that the null hypothesis is true. Hence, option A
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