(a) Explain, in your own words, the central limit theorem.

(b) A student wishes to assess the internet speed in UCD. They run a speed test on 50 separate occasions and find that the average download speed is 32.7 Mbps with a standard deviation of 5.7. Compute the 95% confidence interval for the true download speed.

(c) Discuss how the 95% confidence interval relates to a two-tailed hypothesis test with significance level= 0.05.