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Hypothesis Testing for Mother and Daughter Heights

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9.1 Sketch a diagram of the decision rule for each pair of hypotheses.
a. H0: mu >= 80 versus H1: mu < 80
b. H0: mu = 80 versus H1: mu _= 80
c. H0: mu <= 80 versus H1: mu > 80

9.10 In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included a new "Smart Spot" symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options. At &#945; = .05, would a follow-up survey showing that 18 of 100 persons now rate Pepsi as being "concerned with my health" prove that the percentage has increased? (Data are from The Wall Street Journal, July 30,
2004.)

9.21 Procyon Mfg. produces tennis balls. Weights are supposed to be normally distributed with a mean of 2.035 ounces and a standard deviation of 0.002 ounces. A sample of 25 tennis balls shows a mean weight of 2.036 ounces. At &#945; = .025 in a right-tailed test, is the mean weight heavier than it is supposed to be?

9.30 In 2004, a small dealership leased 21 Chevrolet Impalas on 2-year leases. When the cars were returned in 2006, the mileage was recorded (see below). Is the dealer's mean significantly greater than the national average of 30,000 miles for 2-year leased vehicles, using the 10 percent level of significance? Mileage 40,060 24,960 14,310 17,370 44,740 44,550 20,250, 33,380 24,270 41,740 58,630 35,830 25,750 28,910, 25,090 43,380 23,940 43,510 53,680 31,810 36,780

10.21 (a) At alpha = .05, does the following sample show that daughters are taller than their mothers? (b) Is the decision close? (c) Why might daughters tend to be taller than their mothers? Why might they not? Height
Daughter's Mother's
Family Height (cm) Height (cm)
1 167 172
2 166 162
3 176 157
4 171 159
5 165 157
6 181 177
7 173 174

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Solution Summary

Word and Excel files attached perform hypothesis tests for Pepsi and health and mother/daughter height, among others.

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