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To test H0: ? = 4.5 versus H1: ? > 4.5, a simple random
Chapter 6, Problem 8AYU(choose chapter or problem)
To test \(H_0: \mu = 4.5\) versus \(H_1: \mu > 4.5\), a simple random sample of size n = 13 is obtained from a population that is known to be normally distributed.
(a) If \(\bar{x}=4.9\) and s = 1.3, compute the test statistic.
(b) Draw a f-distribution with the area that represents the P-value shaded.
(c) Approximate and interpret the P-value.
(d) If the researcher decides to test this hypothesis at the \(\alpha= 0.1\) level of significance, will the researcher reject the null hypothesis? Why?
Questions & Answers
QUESTION:
To test \(H_0: \mu = 4.5\) versus \(H_1: \mu > 4.5\), a simple random sample of size n = 13 is obtained from a population that is known to be normally distributed.
(a) If \(\bar{x}=4.9\) and s = 1.3, compute the test statistic.
(b) Draw a f-distribution with the area that represents the P-value shaded.
(c) Approximate and interpret the P-value.
(d) If the researcher decides to test this hypothesis at the \(\alpha= 0.1\) level of significance, will the researcher reject the null hypothesis? Why?
ANSWER:Step 1 of 5
Given,
The appropriate null and alternative hypotheses are:
With = 0.01 level of significance.