The mean IQ score of humans is 100. Suppose a student at Suffolk University wonders if college students have higher-than-average IQ. He obtains a simple random sample of 40 college students and finds the mean IQ is 104.7 with a standard deviation of 12.5. Conduct a hypothesis test at 10% level of significance to see whether there is strong evidence to support the student’s claim.
a. State the null and alternative hypotheses. Specify the type of test.
b.Compute the test statistic Round intermediate steps to 4 decimal places and round to 3 decimal places.
c. Use the t table to find the range of the P-value
d. What is the conclusion? Show detailed comparison and explanation.
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