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Chapter 10: Q. 72. (page 672)
Based on the P-value in Exercise 71, which of the following must be true?
a. A confidence interval for 渭M鈭捨糉will contain
b. A confidence interval for 渭M鈭捨糉will contain
c. A confidence interval for 渭M鈭捨糉will contain
d. A confidence interval for 渭M鈭捨糉 will contain
The required correct option is
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Music and memory Refer to Exercise .
a. Construct and interpret a confidence interval for the true mean difference. If you already defined the parameter and checked conditions in Exercise, you don鈥檛 need to do them again here.
b. Explain how the confidence interval provides more information than the test in Exercise .
Mrs. Woods and Mrs. Bryan are avid vegetable gardeners. They use different fertilizers, and each claims that hers is the best fertilizer to use when growing tomatoes. Both agree to do a study using the weight of their tomatoes as the response variable. Each planted the same varieties of tomatoes on the same day and fertilized the plants on the same schedule throughout the growing season. At harvest time, each randomly selects tomatoes from her garden and weighs them. After performing a two-sample t test on the difference in mean weights of tomatoes, they get and. Can the gardener with the larger mean claim that her fertilizer caused her tomatoes to be heavier?
a. Yes, because a different fertilizer was used on each garden.
b. Yes, because random samples were taken from each garden.
c. Yes, because the P-value is so small.
d. No, because the condition of the soil in the two gardens is a potential confounding variable.
e. No, because
Quit smoking Nicotine patches are often used to help smokers quit. Does giving medicine to fight depression help? A randomized double-blind experiment assigned smokers to receive nicotine patches and another to receive both a patch and the antidepressant drug bupropion. After a year, subjects in the nicotine patch group had abstained from smoking, as had in the patch-plus-drug group. Construct and interpret a confidence interval for the difference in the true proportion of smokers like these who would abstain when using bupropion and a nicotine patch and the proportion who would abstain when using only a patch.
Each day I am getting better in math A "subliminal" message is below our threshold of awareness but may nonetheless influence us. Can subliminal messages help students learn math? A group of students who had failed the mathematics part of the City University of New York Skills Assessment Test agreed to participate in a study to find out. All received a daily subliminal message, flashed on a screen too rapidly to be consciously read. The treatment group of students (assigned at random) was exposed to "Each day I am getting better in math." The control group of students was exposed to a neutral message, "People are walking on the street." All students participated in a summer program designed to improve their math skills, and all took the assessment test again at the end of the program. The following table gives data on the subjects' scores before and after the program.
a. Explain why a two-sample t-test and not a paired t-test is the appropriate inference procedure in this setting.
b. The following boxplots display the differences in pretest and post-test scores for the students in the control (C) and treatment (T) groups. Write a few sentences comparing the performance of these two groups.
c. Do the data provide convincing evidence at the significance level that subliminal messages help students like the ones in this study learn math, on average?
d. Can we generalize these results to the population of all students who failed the mathematics part of the City University of New York Skills Assessment Test? Why or why not?
A large toy company introduces many new toys to its product line each year. The
company wants to predict the demand as measured by y, first-year sales (in millions of dollars) using x, awareness of the product (as measured by the percent of customers who had heard of the product by the end of the second month after its introduction). A random sample of new products was taken, and a correlation of was computed. Which of the following is true?
a. The least-squares regression line accurately predicts first-year sales 96% of the time.
b. About of the time, the percent of people who have heard of the product by the end of the second month will correctly predict first-year sales.
c. About of first-year sales can be accounted for by the percent of people who have heard of the product by the end of the second month.
d. For each increase of 1% in awareness of the new product, the predicted sales will go up by million dollars.
e. About of the variation in first-year sales can be accounted for by the leastsquares regression line with the percent of people who have heard of the product by the end of the second month as the explanatory variable.
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