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6. Assume the population is normally distributed.

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6. Assume the population is normally distributed. Given a sample
size of 225, with sample mean of 750 and standard deviation of 30, we perform the following hypothesis test.
H0: μ = 745
Ha: μ ≠ 745
(a) Is this test for population proportion, mean or standard deviation? What distribution should you apply for the critical value?
(b) What is the test statistic? (Show work and round the answer to three decimal places)
(c) What is the p-value? (Show work and round the answer to two decimal places. If you use technology to find the P-value, you must describe the steps).

10. Five hundred students took a chemistry test. You sampled 100 students to estimate the average score and the standard deviation. How many degrees of freedom were there in the estimation of the standard deviation? (Justify for full credit)

(a) 500 (b) 499 (c) 100 (d) 99

 
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