Question in photo

3. Suppose a gaming company would like to estimate the average amount of time it takes for players to finish a recently released game. A sample of 100 players are selected. The sample mean and sample standard deviation of the amount of time (in hours) it takes them to play the game are 37.7 and 9.2, respectively. (a) What is the value of the population mean? (b) Construct a 90% CI for the unknown population mean amount of time for players to finish the game. (c) Suppose a sample of 300 players coincidentally produces the same sample mean and sample standard deviation as above. Using this new sample, what's the 90% CI for the population mean? (d) Comparing the results from part (a) and (b) above, comment on the relationship between sample sizes and confidence intervals