Question: 1. 30 students were randomly selected from a large group of students taking a certain calculus test. The mean score for the students in the

1. 30 students were randomly selected from a large group of students taking a certain calculus test. The mean score for the students in the sample was 86. Assume thatConstruct a 99% confidence interval for the mean score, , of all students taking the test.

2. A sample mean, sample size, and population standard deviation are given. Use the one-mean z-test to perform the required hypothesis test at the given significance level. Use the critical -value approach.

= 25, n = 40, = 1.5, H0: = 23; Ha: 23, = 0.05

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