Question

2. In estimating the mean number of television viewing hours per family per week, a random sample of 400 families yields a mean of 32.6 hours and a standard deviation of 9.9 hours (a) Find a 95% confidence interval for the average number of viewing hours per family per week in the population. Interpret. (b) Find a 99% confidence interval for the average number of viewing hours per family per week in the population. Interpret. (c) Suppose instead only 25 families were surveyed and the sample mean and standard deviation are as given above. Find a 95% confidence interval for the average number of viewing hours per family per week in the population. Interpret. (d) What assumptions are necessary for the confidence level of this interval in (c) to be exact?

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