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Chapter 7: Q. 18 (page 463)
Records from a random sample of dairy farms yielded the information below on the number of male and female calves born at various times of the day.
What is the probability that a randomly selected calf was
born in the night or was a female?
(a)
(b)
(c)
(d)
(e)
The correct answer is option (a).
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Graph the population distribution. Identify the individuals, the variable, and the parameter of interest.
Which of the following statements about the sampling distribution of the sample mean is incorrect? (a) The standard deviation of the sampling distribution will decrease as the sample size increases.
(b) The standard deviation of the sampling distribution is a measure of the variability of the sample mean among repeated samples.
(c) The sample mean is an unbiased estimator of the true population mean.
(d) The sampling distribution shows how the sample mean will vary in repeated samples.
(e) The sampling distribution shows how the sample was distributed around the sample mean
Larger sample Suppose that the blood cholesterol level of all men aged follows the Normal distribution with mean milligrams per deciliter (mg/dl) and standard deviation
(a) Choose an SRS of men from this population What is the sampling distribution of ?
(b) Find the probability that estimates within . (This is the probability thattakes a value between .) Show your work.
(c) Choose an SRS of men from this population. Now what is the probability that falls withinof? show your wrok.in what sense is the large sample "better".
Airline passengers get heavier In response to the increasing weight of airline passengers, the Federal Aviation Administration (FAA) in told airlines to assume that passengers average pounds in the summer, including clothes and carry-on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries passengers.
(a) Explain why you cannot calculate the probability that a randomly selected passenger weighs more than pounds.
(b) Find the probability that the total weight of the passengers on a full flight exceeds pounds. Show your work. (Hint: To apply the central limit theorem, restate the problem in terms of the mean weight.)
For Exercises 1 to 4, identify the population, the parameter, the sample, and the statistic in each setting
Hot turkey Tom is cooking a large turkey breast for a holiday meal. He wants to be sure that the turkey is safe to eat, which requires a minimum internal temperature of . Tom uses a thermometer to measure the temperature of the turkey meat at four randomly chosen points. The minimum reading in the sample is
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