D. 1. A sample of size 16 is used in testing the null hypothesis that μ...

D.

1. A sample of size 16 is used in testing the null hypothesis that μ > 100. The sample results indicate that = 96 and s = 4. Test the null hypothesis using a significance level of .05.

2. What does the significance level tell us? That is, precisely what is it that has a probability of less than .05? Be specific.

Expert Solution

n = 16

1.) The test hypothesis is

This is a one-sided test because the alternative hypothesis is formulated to detect the difference from the hypothesized mean on the upper side
Now, the value of test static can be found out by following formula:

Since the sample size is n = 16, degrees of freedom on the t-test statistic are n-1 = 16-1 = 15
This implies that

Since , we fail to reject the null hypothesis
2) There is .05 probability that we wrongfully fail to reject the null hypothesis

orchestra answered 2 years ago

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