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Pepperoni pizza Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To

investigate, they went to their favorite pizza restaurant at 10 random times during the week and ordered a large pepperoni pizza. Here are the number of pepperonis on each pizza:

Short Answer

Expert verified

Confidence interval for true mean is31.919<μ<42.881

Step by step solution

01

Given Information

On ten random times, number of pepperonis on large each pizza is:

47,36,25,37,46,36,49,32,32,34

02

Calculation

Excel is used as:

True mean of 95%confidence interval on each pizza is:

31.919<μ<42.881

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Most popular questions from this chapter

Engine parts A random sample of 16 of the more than 200auto engine crankshafts produced in one day was selected. Here are measurements (in millimeters) of a critical component on these crankshafts:

a. Construct and interpret a 95%confidence interval for the mean length of this component on all the crankshafts produced on that day.

b. The mean length is supposed to be μ=224mm but can drift away from this target during production. Does your interval from part (a) suggest that the mean has drifted from 224mm? Explain your answer.

It’s critical Find the appropriate critical value for constructing a confidence interval in each of the following settings.

a. Estimating a population proportion p at a 94% confidence level based on an SRS of size 125

b. Estimating a population mean μ at a 99% confidence level based on an SRS of size 58

Gambling and the NCAA Gambling is an issue of great concern to those involved in college athletics. Because of this concern, the National Collegiate Athletic Association (NCAA) surveyed randomly selected student athletes concerning their gambling-related behaviors. Of the 5594Division Imale athletes who responded to the survey, 3547reported participation in some gambling behavior. This includes playing cards, betting on games of skill, buying lottery tickets, betting on sports, and similar activities. A report of this study cited a 1%margin of error.

a. The confidence level was not stated in the report. Use what you have learned to

estimate the confidence level, assuming that the NCAA took an SRS.

b. The study was designed to protect the anonymity of the student athletes who responded. As a result, it was not possible to calculate the number of students who were asked to respond but did not. How does this fact affect the way that you interpret the results?

The U.S. Forest Service is considering additional restrictions on the number of vehicles allowed to enter Yellowstone National Park. To assess public reaction, the service asks a random sample of 150 visitors if they favor the proposal, Of these, 89 say "Yes."

a. Construct and interpret a 99%confidence interval for the proportion of all visitors to Yellowstone who favor the restrictions.

b. Based on your work in part (a), is there convincing evidence that more than half of all visitors to Yellowstone National Park favor the proposal? Justify your answer.

Age and video games Refer to Exercise 41. The study also estimated that 67% of adults aged 1829play video games, but only 25%of adults aged 65and older play video games.

a. Explain why you do not have enough information to give confidence intervals for these two age groups separately.

b. Do you think a 95% confidence interval for adults aged 1829 would have a larger or smaller margin of error than the estimate from Exercise 41? Explain your answer.

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