Question: An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on

An IQ test was given to a simple random sample of 75 students at a certain college.

The sample mean score was 105.2. Scores on this test are known to have a standard deviation of σ = 10.

It is desired to construct a 90% confidence interval for the mean IQ score of students at this college.

a. What is the point estimate?

b. Find the critical value.

c. Find the standard error.

d. Find the margin of error.

e. Construct the 90% confidence interval.

f. Is it likely that the population mean μ is greater than 100? Explain.

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