In: Statistics and Probability
1.researcher in the field of women’s studies wondered if women recall emotional events better than men. She decides to gather some data on the matter. An experiment is conducted in which eight randomly selected men and eight randomly selected women are shown 20 highly emotional photographs and then asked to recall them 1 week after the showing. The sample mean for men was 16 (photos recalled), and the sample standard deviation was 1.73. For the women, the sample mean was 17.5 (photos recalled) and the sample standard deviation was 1.19. Is there evidence that the women recall emotional photographs better than men? Use ? = 0.05. Be sure to include all the appropriate steps!
2. A car dealership has been using 1-minute spot ads on a local TV station. The ads always occur during evening hours and advertise different models and price range of cars on the lot that week. During a ten week period, the dealer kept a weekly record of the number of TV ads versus the number of cars sold.
Ads 6 20 0 14 25 16 28 18 10 8
Cars sold 15 21 10 16 28 20 40 25 12 15
a. Make a scatter diagram for the data. Which is the independent variable? What type of association does there appear to be between the variables?
b. Find the line that best fits the data and the correlation. Draw the line on the scatter diagram. Does it appear that the line fits the data well?
c. How many cars can the manager expect to sell if 12 ads per week are aired on TV?
d. Would it make sense to predict how many cars the manager can expect to sell if 40 ads are aired in a week? Why or why not?