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Chapter 8: Q. 1 (page 506)

How many pairs of shoes, on average, do female teens have? To find out, an AP Statistics class selected an SRS of 20female students from their school. Then they recorded the number of pairs of shoes that each student reported having. Here are the data:

Short Answer

Expert verified

The solution isx炉=30.35

Step by step solution

01

Step 1. Given information

Here are the data:

02

Step 2. Calculation

Formula used:

x炉=鈭�xn

x炉=50+26+26+31+57+19+24+22+23+38+13+50+13+34+23+30+49+13+15+5120=60720=30.35

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Most popular questions from this chapter

More income The 2015American Community Survey estimated the median household income for each state. According to ACS, the 90%confidence interval for the 2015

median household income in New Jersey is \(72,222卤\)610.

a. Interpret the confidence interval.

b. Interpret the confidence level.

One reason for using a t distribution instead of the standard Normal distribution to find critical values when calculating a level C confidence interval for a population mean is that

a. zcan be used only for large samples.

b. zrequires that you know the population standard deviation 蟽.

c. z requires that you can regard your data as an SRS from the population.

d. z requires that the sample size is less than 10% of the population size.

e. a z critical value will lead to a wider interval than a t critical value.

Food fight A 2016survey of 1480randomly selected U.S. adults found that 55%of respondents agreed with the following statement: 鈥淥rganic produce is better for health than conventionally grown produce.鈥�

a. Construct and interpret a 99%confidence interval for the proportion of all U.S. adults who think that organic produce is better for health than conventionally grown produce.

b. Does the interval from part (a) provide convincing evidence that a majority of all U.S. adults think that organic produce is better for health? Explain your answer.

In a poll conducted by phone,

I. Some people refused to answer questions.

II. People without telephones could not be in the sample.

III. Some people never answered the phone in several calls.

Which of these possible sources of bias is included in the 卤2%margin of error announced for the poll?

a. I only

b. II only

c. III only

d. I, II, and III

e. None of these

Explaining confidence The admissions director for a university found that (107.8,116.2)is a 95%confidence interval for the mean IQ score of all freshmen. Discuss whether each of the following explanations is correct, based on that information.

a. There is a 95%probability that the interval from role="math" localid="1654200953396" 107.8to116.2contains 渭.

b. There is a 95%chance that the interval(107.8,116.2)contains x炉.

c. This interval was constructed using a method that produces intervals that capture the true mean in 95%of all possible samples.

d. If we take many samples, about 95%of them will contain the interval (107.8,116.2).

e. The probability that the interval (107.8,116.2)captures 渭 is either 0 or 1, but we don鈥檛 know which.
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