1/ I swear I get so much junk email! I'm not sure what proportion of my emails are junk emails though. The results of selected 75 emails, classified as "work", "personal", or "junk" are found in the Excel sheet labeled Emails.

Show and label your work on the Excel sheet labeled Emails, and highlight your final answer yellow.

a)What is the point estimate for the proportion of my emails that are junk emails? (Keep 4 or more decimal places)

b)Construct a 95% confidence interval for the proportion of my emails that are junk emails. (Keep 4 or more decimal places)

c)Write a sentence interpreting your confidence interval.

2/ Question 4 SAT

A tutor wishes to know how well their students are doing. In the Excel sheet labeled SAT there are randomly selected SAT scores from 36 students the tutor has worked with.

Show and label your work on the Excel sheet labeled SAT, then highlight your final answer yellow.

a)What is the point estimate for the average SAT score of students who have worked with this tutor? (Keep 4 or more decimal places)

b)Compute a 90% confidence interval for the average SAT score of the students who have worked with this tutor. (Keep 4 or more decimal places)

c)The average score on the SAT in Oregon last year was 550. Based on your 90% confidence interval is there any evidence that on average students who work with this tutor do better than the Oregon average? Provide reasons.