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Chapter 10: Q 31. (page 643)
Let be the proportions of all college males and
females who worked last summer. The hypotheses to be tested are
a.
b.
c.
d.
e.
Option (a) is correct.
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The power takeoff driveline on tractors used in agriculture is a potentially serious hazard to operators of farm equipment. The driveline is covered by a shield in new tractors, but for a variety of reasons, the shield is often missing on older tractors. Two types of shields are the bolt-on and the flip-up. It was believed that the boll-on shield was perceived as a nuisance by the operators and deliberately removed, but the flip-up shield is easily lifted for inspection and maintenance and may be left in place. In a study initiated by the US National Safety Council, random samples of older tractors with both types of shields were taken to see what proportion of shields were removed. Of tractors designed to have bolt-on shields, had been removed. Of the tractors with flip-up shields, were removed. We wish to perform a test of versus , where and are the proportions of all the tractors with bolt-on and flip-up shields removed, respectively. Which of the following is not a condition for performing the significance test ?
(a) Both populations are Normally distributed.
(b) The data come from two independent samples.
(c) Both samples were chosen at random.
(d) The counts of successes and failures are large enough to use Normal calculations.
(e) Both populations are at least times the corresponding sample sizes.
According to sleep researchers, if you are between the ages of and years old, you need 9 hours of sleep to function well. A simple random sample of students was chosen from a large high school, and these students were asked how much sleep they got the previous night. The mean of the responses was hours with a standard deviation of hours.
Which of the following is the standardized test statistic for the hypothesis test ?
Which of the following is not a property of a binomial setting?
a. Outcomes of different trials are independent.
b. The chance process consists of a fixed number of trials, n.
c. The probability of success is the same for each trial.
d. Trials are repeated until a success occurs.
e. Each trial can result in either a success or a failure.
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
A researcher wants to determine whether or not a -week crash diet is effective over a long period of time. A random sample of five-week crash dieters is selected. Each person’s weight (in pounds) is recorded before starting the diet and year after it is concluded. Do the data provide convincing evidence that -week crash dieters weigh less, on average, year after finishing the diet?
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