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Chapter 7: Q 48. (page 464)

Decreasing the sample size from 750 to 375 would multiply the standard deviation by

a. 2.

b.2

c. 1/2.

d. 12

e. none of these.

Short Answer

Expert verified

The correct option is (b)2

Step by step solution

01

Given information

Current sample size is 750 and it becomes 375

02

Concept

蟽p^=p(1鈭�p)n

03

Calculation

The current sample size is 750 and it will be reduced to 375 implying that n sample will be reduced to n2

蟽p^=p(1鈭�p)n=p(1鈭�p)n/2=2p(1鈭�p)n=2蟽p^

Standard deviation is multiplied by 2 Hence, the correct option is (b).

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Most popular questions from this chapter

In a certain large population of adults, the distribution of IQ scores is strongly left skewed with a mean of 122 and a standard deviation of 5. Suppose 200 adults are randomly selected from this population for a market research study. For SRSs of size 200, the distribution of sample mean IQ score is

a. left-skewed with mean 122 and standard deviation 0.35.

b. exactly Normal with mean 122 and standard deviation 5.

c. exactly Normal with mean 122 and standard deviation 0.35.

d. approximately Normal with mean 122 and standard deviation 5.

e. approximately Normal with mean 122 and standard deviation 0.35.

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b. Describe the shape of the sampling distribution of x for SRSs of size n=100 from the population of songs on David鈥檚 iPod. Justify your answer.

The student newspaper at a large university asks an SRS of 250 undergraduates, "Do you favor eliminating the carnival from the term-end celebration?" All in all, 150 of the 250 are in favor. Suppose that (unknown to you) 55\% of all undergraduates favor eliminating the carnival. If you took a very large number of SRSs of size n=250 n=250 from this population, the sampling distribution of the sample proportion p鈭�p^would be

a. exactly Normal with mean 0.55 and standard deviation 0.03.

b. approximately Normal with mean 0.55 and standard deviation 0.03.

c. exactly Normal with mean 0.60 and standard deviation 0.03.

d. approximately Normal with mean 0.60 and standard deviation 0.03.

e. heavily skewed with mean 0.55 and standard deviation 0.03.

Cereal A company's cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean 渭=9.70 ounces and standard deviation 蟽=0.03 ounce.

a. What is the probability that a randomly selected box of the cereal contains less than 9.65 ounces of cereal?

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