a. Consider testing Ho: 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 Ho: µ = 80. Under what conditions should you use the t-distribution to conduct the test? Select all of the conditions that apply. O A. There is a small sample size. O B. The population standard deviation is known. O C. There is a large sample size. O D. The population from which the sample is selected has a distribution that is approximately normal. 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 symmetric. However, the t-test statistic curve is pointed while the z-statistic curve is mound-shaped. O B. 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-t more sensitive to the sample size. O C. The distribution curves are both mound-shaped. However, the z-statistic distribution is symmetric while the t-test statistic distribution is skewed. 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-t more sensitive to the sample size.

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a. Consider testing
H0​:
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 Ho: 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 Ho: µ = 80. Under what conditions should you use the t-distribution to conduct the test? Select all of the conditions that apply.
A. There is a small sample size.
B. The population standard deviation is known.
C. There is a large sample size.
D. The population from which the sample is selected has a distribution that is approximately normal.
b. In what ways are the distributions of the z-statistic and t-test statistic alike? How do they differ?
A. The distribution curves are both symmetric. However, the t-test statistic curve is pointed while the z-statistic curve is mound-shaped.
B. 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 c. The distribution curves are both mound-shaped. However, the z-statistic distribution is symmetric while the t-test statistic distribution is skewed.
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 Ho: 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 Ho: µ = 80. Under what conditions should you use the t-distribution to conduct the test? Select all of the conditions that apply. A. There is a small sample size. B. The population standard deviation is known. C. There is a large sample size. D. The population from which the sample is selected has a distribution that is approximately normal. b. In what ways are the distributions of the z-statistic and t-test statistic alike? How do they differ? A. The distribution curves are both symmetric. However, the t-test statistic curve is pointed while the z-statistic curve is mound-shaped. B. 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 c. The distribution curves are both mound-shaped. However, the z-statistic distribution is symmetric while the t-test statistic distribution is skewed. 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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