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Chapter 7: Q. 1.2 (page 448)
The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean days and standard deviation days.
What is the mean of the sampling distribution of ? Explain.
The mean is .
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Do you drink cereal milk? What sample size would be required to reduce the standard deviation of the sampling distribution to one-half the value you found in Exercise 35(b)? Justify your answer.
Here is a dot plot of the adult literacy rates in countries in , according to the United Nations. For example, the lowest literacy rate was , in the African country of Burkina Faso. Use the dot plot below to answer Questions
Based on the shape of this distribution, what numerical measures would best describe it?
(a) The five-number summary
(b) The mean and standard deviation
(c) The mean and the quartiles
(d) The median and the standard deviation
(e) It is not possible to determine which numerical values to use.
A -question multiple-choice exam offers choices for each question. Jason just guesses the answers, so he has a probability of getting any one answer correct. You want to perform a simulation to determine the number of correct answers that Jason gets. One correct way to use a table of random digits to do this is the following:
(a) One digit from the random digit table simulates one answer, with 5right and all other digits wrong. Ten digits from the table simulate answers. (b) One digit from the random digit table simulates one answer, with 0 or 1 right and all other digits wrong. Ten digits from the table simulate answers.
(c) One digit from the random digit table simulates one answer, with odd right and even wrong. Ten digits from the table simulate answers.
(d) Two digits from the random digit table simulate one answer, with to right and to wrong. Ten pairs of digits from the table simulate answers.
(e) Two digits from the random digit table simulate one answer, with to right and to wrong. Ten pairs of digits from the table simulate answers.
Mars, Incorporated, says that the mix of colors in its M&M鈥橲庐 Milk Chocolate Candies is blue, orange, green,yellow, red, and brown. Assume that the company鈥檚 claim is true. We want to examine the proportion of orange M&M鈥橲 in repeated random samples of candies. Which of the graphs that follow could be the approximate sampling distribution of the statistic? Explain your choice
The student newspaper at a large university asks an SRS of undergraduates, 鈥淒o you favor eliminating the carnival from the term-end celebration?鈥� All in all, of the are in favor. Suppose that (unknown to you) of all undergraduates favor eliminating the carnival. If you took a very large number of SRSs of size from this population, the sampling distribution of the sample proportion would be
(a) exactly Normal with mean and standard deviation of
(b) approximately Normal with mean and standard deviation .
(c) exactly Normal with mean and standard deviation .
(d) approximately Normal with mean and standard deviation .
(e) heavily skewed with mean and standard deviation .
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