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Hypothesis Testing of Mean:IQ scores of Statistics Professor

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Null and Alternative hypothesis.

For the following claim, find the null and alternative hypotheses, test statistic, P-value, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts a-e.

Claim: The mean IQ score of statistics professors is less than 119.
Sample data: n = 27, x-bar = 124, s = 7.

The significance level is alpha = 0.05.

a. Choose the correct null hypothesis (H0) and alternative hypothesis (H1).

b. Determine the test statistic t.

c. Find the P-value.

d. Find the critical value using a t-distribution table.

e. What is the conclusion?

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Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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Answers
a. D. H0: µ = 119 H1: µ < 119

b. Test statistics, = = 3.712

c. P-value = P (t26 < 3.712) = 0.9995

Therefore, correct range of p-values is

P-value > 0.10

d. ...

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