Chapter 10: Q. 22 (page 597)
In symbols, what is the random variable of interest for this test?
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Chapter 10: Q. 22 (page 597)
In symbols, what is the random variable of interest for this test?
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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’
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 |
A golf instructor is interested in determining if her new technique for improving players’ golf scores is effective. She takes four (4) new students. She records their -hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test. The data are as Table 10.37.
This is:
a. a test of two independent means.
b. a test of two proportions.
c. a test of a single mean.
d. a test of a single proportion.
Use the following information to answer the next three exercises: A study is done to determine which of two soft drinks has more sugar. There are 13 cans of Beverage A in a sample and six cans of Beverage B. The mean amount of sugar in Beverage A is 36 grams with a standard deviation of 0.6 grams. The mean amount of sugar in Beverage B is 38 grams with a standard deviation of 0.8 grams. The researchers believe that Beverage B has more sugar than Beverage A, on average. Both populations have normal distributions.
Is this a one-tailed or two-tailed test?
102. A recent year was randomly picked from 1985 to the present. In that year, there were 2,051 Hispanic students at Cabrillo College out of a total of 12,328 students. At Lake Tahoe College, there were 321 Hispanic students out of a total of 2,441 students. In general, do you think that the percent of Hispanic students at the two colleges is basically the same or different?
The mean number of English courses taken in a two–year time period by male and female college students is believed
to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an
average of three English courses with a standard deviation of 0.8. The females took an average of four English courses with
a standard deviation of 1.0. Are the means statistically the same?
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