Question

Question 5 (13 points) A random sample of 20 NAU students were asked how many hours of television they watch each week. The following is StatKey output for this data. Bootstrap Dotplot of Mean 400 Left Tail Two-TallRight Tail 350 samples - 10000 mean 5.453 std. error -0.511 Original Samp n-20, mean - 5.45 median-5, stdey - 15 10 5 300 0 250 2 4 200 150 0.025 0.950 0.025 100 Bootstrap Sam Show Data Table n-20, mean - 5.05 median - 4.5, stdev 15 10 5 0 2 45.05 50 0 4.0 5.0 5.5 5.453 6.0 7.0 4.5 4.450 7.5 0.5 6.450 (a) (4 pts)What is the sample size? And how many bootstrap samples were generated? (b) (2 pts) What is the relevant statistic? Also provide the correct notation. (c) (5 pts) Using the StatKey output, find a 95% confidence interval for the parameter of interest. (d) (2 pts) Interpret the interval constructed in part (c).

Answer 1

(a) Sample size is n = 20 and 10000 bootstrap samples were generated.

(b) The relevant statistic is the sample mean.

(c) The 95% CI for the population mean is (4.450, 6.450)

(d) The 95% CI for the population mean is (4.45, 6.45). It means that if the experiment is repeated 100 times, the popualtion mean would belong to this interval at least 95 times out of 100.

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