Can you help me solve this equation, I need all the steps to understand.

Q1 : We are trying to estimate the average number of hours of sleep per patient in a population of 500 patients all treated with a new type of sleeping pill. To do this, we observed in 50 patients (randomly selected from this population) the number of hours of sleep during a night recording. An average of 8 hours per patient was obtained from this sample with a corrected standard deviation of 1 hour.

Q1 Determine the estimator of the standard deviation of the estimator of the mean number of hours of sleep per patient.

Q2

Determine the upper bound of the 95% confidence interval for the average number of hours of sleep per patient in the population.