a. Consider testing H,: u= 80. Under what conditions should you use the t-distribution to conduct the test? b. In what ways are the distributions of the z-statistic and t-test statistic alike? How do they differ? a. Consider testing Hn: u= 80. Under what conditions should you use the t-distribution to conduct the test? Select all of the conditions that apply. O A. The population from which the sample is selected has a distribution that is approximately normal. O B. There is a small sample size. O C. The population standard deviation is known. O D. There is a large sample size. b. In what ways are the distributions of the z-statistic and t-test statistic alike? How do they differ? O A. The distribution curves are both mound-shaped and symmetric. However, the z-statistic curve is flatter than the t-test statistic curve because the t-test is much more sensitive to the sample size. O B. The distribution curves are both mound-shaped. However, the z-statistic distribution is symmetric while the t-test statistic distribution skewed. O C. The distribution curves are both symmetric. However, the t-test statistic curve is pointed while the z-statistic curve is mound-shaped. O D. The distribution curves are both mound-shaped and symmetric. However, the t-test statistic curve is flatter than the z-statistic curve because the t-test is much more sensitive to the sample size.

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a. Consider testing Hn: µ= 80. Under what conditions should you use the t-distribution to conduct the test?
b. In what ways are the distributions of the z-statistic and t-test statistic alike? How do they differ?
a. Consider testing Hn: µ= 80. Under what conditions should you use the t-distribution to conduct the test? Select all of the conditions that apply.
O A. The population from which the sample is selected has a distribution that is approximately normal.
O B. There is a small sample size.
O C. The population standard deviation is known.
O D. There is a large sample size.
b. In what ways are the distributions of the z-statistic and t-test statistic alike? How do they differ?
O A. The distribution curves are both mound-shaped and symmetric. However, the z-statistic curve is flatter than the t-test statistic curve because the t-test is much more sensitive to the sample size.
O B. The distribution curves are both mound-shaped. However, the z-statistic distribution is symmetric while the t-test statistic distribution is skewed.
O C. The distribution curves are both symmetric. However, the t-test statistic curve is pointed while the z-statistic curve is mound-shaped.
O D. The distribution curves are both mound-shaped and symmetric. However, the t-test statistic curve is flatter than the z-statistic curve because the t-test is much more sensitive to the sample size.
Transcribed Image Text:a. Consider testing Hn: µ= 80. Under what conditions should you use the t-distribution to conduct the test? b. In what ways are the distributions of the z-statistic and t-test statistic alike? How do they differ? a. Consider testing Hn: µ= 80. Under what conditions should you use the t-distribution to conduct the test? Select all of the conditions that apply. O A. The population from which the sample is selected has a distribution that is approximately normal. O B. There is a small sample size. O C. The population standard deviation is known. O D. There is a large sample size. b. In what ways are the distributions of the z-statistic and t-test statistic alike? How do they differ? O A. The distribution curves are both mound-shaped and symmetric. However, the z-statistic curve is flatter than the t-test statistic curve because the t-test is much more sensitive to the sample size. O B. The distribution curves are both mound-shaped. However, the z-statistic distribution is symmetric while the t-test statistic distribution is skewed. O C. The distribution curves are both symmetric. However, the t-test statistic curve is pointed while the z-statistic curve is mound-shaped. O D. The distribution curves are both mound-shaped and symmetric. However, the t-test statistic curve is flatter than the z-statistic curve because the t-test is much more sensitive to the sample size.
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