Example – What test would you use to determine whether the starting salaries for statisticians are greater than

Example – What test would you use to determine whether the starting salaries for statisticians are greater than $80,000?

Ans. – One-sample t-test for population mean, Ho: μ=$80,000 vs. Ha: μ >$80,000

1. What procedure would you use to test whether students in Stat 3011 who have taken AP Statistics do better than students who have not taken AP Statistics?

2. What procedure would you use to test whether students in Stat 3011 do better on their second exam compared to their first exam in the course?

Problem2

The Getting2NoUSurvey indicated that 66 out of 230 female students whiten their teeth whereas 28 out of 153 males whiten their teeth within the last year. Assume that the data represents a random sample of all college students. Statistically test whether the proportion of students who whiten their teeth is different between the two genders.

a. If the null hypothesis is true, state the statistical distribution of the test statistic.

b. Use α=0.05 and perform all 5 steps of hypotheses testing for complete credit.