Perform hypothesis tests on the following five problems. Assume that a simple random sample has been...
Perform hypothesis tests on the following five problems.
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the hypotheses, test statistic, critical value(s), decision about the null hypothesis, and final conclusion.
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Claim: The mean IQ score of statistics professors is greater than 135. Sample data: n= 25, ?̅ = 137, s =15. The significance level is α = 0.05.
Homework Answers
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 135
Alternative Hypothesis, Ha: μ > 135
Rejection Region
This is right tailed test, for α = 0.05 and df = 24
Critical value of t is 1.711.
Hence reject H0 if t > 1.711
Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (137 - 135)/(15/sqrt(25))
t = 0.667
fail to reject null hypothesis.
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