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Chapter 10: Q.76 (page 600)
What is the sample mean difference?
The mean of differences is
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Use the following information to answer the next 15 exercises: Indicate if the hypothesis test is for
a. independent group means, population standard deviations, and/or variances known
b. independent group means, population standard deviations, and/or variances unknown
c. matched or paired samples
d. single mean
e. two proportions
f. single proportion
A high school principal claims that 30% of student athletes drive themselves to school, while 4% of non-athletes drive themselves to school. In a sample of 20 student athletes, 45% drive themselves to school. In a sample of 35 non-athlete students, 6% drive themselves to school. Is the percent of student athletes who drive themselves to school more than the percent of nonathletes?
A new medicine is said to help improve sleep. Eight subjects are picked at random and given the medicine. The means
hours slept for each person were recorded before starting the medication and after.
Use the following information to answer the next five exercises. The mean speeds of fastball pitches from two different baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have normal distributions. Table 10.18 shows the result. Scouters believe that Rodriguez pitches a speedier fastball.
What is the random variable?
A study was conducted to investigate how effective a new diet was in lowering cholesterol. Results for the
randomly selected subjects are shown in the table. The differences have a normal distribution. Are the subjects鈥�
cholesterol levels lower on average after the diet? Test at the level.
| Subject | A | B | C | D | E | F | G | H | I |
| Before | 209 | 210 | 205 | 198 | 216 | 217 | 238 | 240 | 222 |
| After | 199 | 207 | 189 | 209 | 217 | 202 | 211 | 223 | 201 |
The league mean batting average is 0.280 with a known standard deviation of 0.06. The Rattlers and the Vikings belong
to the league. The mean batting average for a sample of eight Rattlers is 0.210, and the mean batting average for a sample
of eight Vikings is 0.260. There are 24 players on the Rattlers and 19 players on the Vikings. Are the batting averages of the
Rattlers and Vikings statistically different?
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