A distribution of anxiety scores has a mean of μ=48 and a standard deviation of σx=4. This distribution is
relatively normal. What is the probability of selecting a sample of depression scores of n=50 that has a
mean between =48.8 and =50.9?
Lisa is serving on her school's Committee for Diversity, Equity, and Inclusion. She is looking to improve
the writing program by including curriculum that is fair and equitable for her school's diverse population.
She is looking for evidence that the school's African American American students are not performing at
the same level as the rest of the student population in a basic writing class. She collects the scores from
an writing assessment exam given to all students every year. The average score for all students is 53.28.
A sample of 20 African American students scores were taken. They are listed below. Perform a
hypothesis test for a single sample t-test to determine how these students' scores compared to the rest of
the student population.
57.00 41.00 59.00 55.00 40.00
37.00 40.00 46.00 47.00 62.00
35.00 55.00 37.00 49.00 46.00
54.00 52.00 49.00 67.00 36.00