I need all the work

2) A researcher is interested in the difference in recall ability in people who stay up late. It is known that, using a particular method of measurement, the recall ratings of people in the general population (who do not sleep late) are normally distributed with a mean of 64 and a variance of 18. In the present study, however, the researcher arranges to test 50 people who are known "night owls". The mean accuracy for these 50 individuals was 60. Using a two-tailed test and the .01 significance level, what should the researcher conclude? a. Carry out a Z fest using the five steps of hypothesis testing. b. Make a drawing of the distributions involved. c. Figure the 95% confidence interval and explain your answer to someone who is familiar with the general logic of hypothesis testing, the normal curve, Z scores, probability, and the idea of a distribution of means, but who has not heard of confidence intervals