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Suppose James claims it takes him at least 150 minutes to drive to work each day....

Suppose James claims it takes him at least 150 minutes to drive to work each day. You pick a random sample of 10days and observe an average of 136 minutes. The standard deviation from the sample was 28 minutes. You plan to use the sample results to test James’ claim. Assume a normal distribution. Set up an appropriate hypothesis test with a significance level of 5%.

a) Should James’ claim be rejected?
b) if the sample size was 50 instead of 10, show the proper hypothesis test and report your conclusion.

please show all equations and math used to reach conclusion. WILL UPVOTE
Math   Statistics-And-Probability   
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