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# Test of hypothesis

Find the test statistic, p-value and critical value and state a final conclusion.
Caim: The mean IQ score of statistics professors is less than 120

sample data: n=40, mean of the values in a sample = 117, assume that the standard deviation = 14 and the significance level = 0.05

Calculate the test statistic ( round to nearest hundredth)
Find the P-value round to 4 decimal places as needed
Find the critical value, (round to nearest thousandth as needed)

choose one

a. there is sufficient evidence to support the claim
or
b. There is insufficient evidence to support the claim

#### Solution Preview

claim: The mean IQ score of statistics professors is less than 120

sample data: n=40, mean of the values in a sample = 117, assume that the standard deviation = 14 and the significance level = 0.05

Calculate the test statistic ( round to nearest hundredth)
Find the P-value round to 4 decimal places as needed
Find the critical value, (round to nearest thousandth as needed)

choose one

a. there is sufficient evidence to support the claim
or
b. There is insufficient evidence to support the ...

#### Solution Summary

Tests the hypothesis that the mean IQ score of statistics professors is less than 120. Finds the test statistic, p-value and critical value and states a final conclusion for the test of hypothesis.

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