Chapter 7: Q.2.1 (page 420)
Graph the population distribution. Identify the individuals, the variable, and the parameter of interest.
Short Answer
The graph of the population distribution:

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Chapter 7: Q.2.1 (page 420)
Graph the population distribution. Identify the individuals, the variable, and the parameter of interest.
The graph of the population distribution:

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A sample of teens A study of the health of teenagers plans to measure the blood cholesterol levels of an SRS of - to -year-olds. The researchers will report the mean from their sample as an estimate of the mean cholesterol level M in this population.
(a) Explain to someone who knows no statistics what it means to say that is an unbiased estimator of .
(b) The sample result x is an unbiased estimator of the population mean no matter what size SRS the study chooses. Explain to someone who knows no statistics why a large random sample gives more trustworthy results than a small random sample.
Suppose we roll a fair die four times. The probability that a occurs on exactly one of the rolls is
(a)
(b)
(c)
(d)
(e)
Mars, Incorporated, says that the mix of colors in its M&M’S® Milk Chocolate Candies is blue, orange, green,yellow, red, and brown. Assume that the company’s claim is true. We want to examine the proportion of orange M&M’S in repeated random samples of candies. Which of the graphs that follow could be the approximate sampling distribution of the statistic? Explain your choice

Doing homework A school newspaper article claims that of the students at a large high school did all their assigned homework last week. Some skeptical AP Statistics students want to investigate whether this claim is true, so they choose an SRS of students from the school to interview. What values of the sample proportion pˆ would be consistent with the claim that the population proportion of students who completed all their homework is ? To find out, we used Fathom software to simulate choosing SRSs of size students from a population in which . The figure below is a dotplot of the sample proportion of students who did all their homework.

(a) Is this the sampling distribution of ? Justify your answer.
(b) Describe the distribution. Are there any obvious outliers?
(c) Suppose that of thestudents in the actual sample say that they did all their homework last week. What would you conclude about the newspaper article’s claim? Explain.
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.)
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