Students in a representative sample of 69 second-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed theTuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 69 second-year students in the study at the university, the sample mean procrastination score was 41.00 and the sample standard deviation was 6.89.A USE SALT(a) Construct a 95% confidence interval estimate of u, the population mean procrastination scale for second-year students at this college. (Use technology to calculate the critical value. Round youranswers to three decimal places.)(b) How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.489, 38.691)? What does this tell youabout the difference between first-year and second-year students in terms of mean procrastination score?O The confidence interval for second-year students does not overlap, and has values that are entirely below the confidence interval for first-year students. Therefore, it seems plausible thatsecond-year students tend to procrastinate less than first-year students at this university.O The confidence interval for second-year students does not overlap and has values that are entirely below the confidence interval for first-year students. Therefore, it seems plausible thatsecond-year students tend to procrastinate about the same as first-year students at this university.O The confidence interval for second-year students does not overlap and has values that are entirely above the confidence interval for first-year students. Therefore, it seems plausible thatsecond-year students tend to procrastinate more than first-year students at this university.O The confidence interval for second-year students overlaps the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate less thanfirst-year students at this universityO The confidence interval for second-year students overlaps the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate about thesame as first-year students at this university.

Question

Accepted Answer

Confidence interval:
Since the population standard deviation is unknown, t distribution can be…