A random sample of 10 students contains the following observations, in hours, for time spent studying in the week before final exams:,28 57 42 35 61 39 55 46 49 38,Assume that the population distribution is normal.,a. Find the sample mean and standard deviation.,b. Test, at the 5% significance level, the null hypothesis that the population mean is 40 hours against the alternative that it is higher.

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