Solution Found!
Suppose you conduct a t-test for the null hypothesis =
Chapter 7, Problem 51E(choose chapter or problem)
Suppose you conduct a t-test for the null hypothesis \(H_0: \mu=1,000\) versus the alternative hypothesis \(H_{\mathrm{a}}: \mu>1,000\) based on a sample of 17 observations. The test results are t = 1.89 and p-value =.038.
a. What assumptions are necessary for the validity of this procedure?
b. Interpret the results of the test.
c. Suppose the alternative hypothesis had been the two-tailed \(H_{\mathrm{a}}: \mu \neq 1,000\). If the t - statistic were unchanged, then what would the p-value be for this test? Interpret the p-value for the two-tailed test.
Questions & Answers
QUESTION:
Suppose you conduct a t-test for the null hypothesis \(H_0: \mu=1,000\) versus the alternative hypothesis \(H_{\mathrm{a}}: \mu>1,000\) based on a sample of 17 observations. The test results are t = 1.89 and p-value =.038.
a. What assumptions are necessary for the validity of this procedure?
b. Interpret the results of the test.
c. Suppose the alternative hypothesis had been the two-tailed \(H_{\mathrm{a}}: \mu \neq 1,000\). If the t - statistic were unchanged, then what would the p-value be for this test? Interpret the p-value for the two-tailed test.
ANSWER:Step 1 of 4
From the given problem we have:
against
Also we have sample size n = 17, t = 1.89, and p-value = 0.38.
Here our goal is:
a). We need to write assumptions are necessary for the validity of this procedure.
b). We need to Interpret the results of the test.
c). Suppose the alternative hypothesis had been the two-tailed If the t-statistic were unchanged, then we need to find the p-value be for this test. Also we have to Interpret the p-value for the two-tailed test.