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Chapter 8: Q 73. (page 543)

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<渭<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<渭<42.881

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Most popular questions from this chapter

How confident? The figure shows the result of taking 25SRSs from a Normal population and constructing a confidence interval for the population mean using each sample. Which confidence level鈥�80%,90%,95%,or99%鈥攄o you think was used? Explain your reasoning.

School vouchers A small pilot study estimated that 44%of all American

adults agree that parents should be given vouchers that are good for education at any public or private school of their choice.

a. How large a random sample is required to obtain a margin of error of at most 0.03with 99%confidence? Answer this question using the pilot study鈥檚 result as the guessed value for p^

b. Answer the question in part (a) again, but this time use the conservative guessp^=0.5. By how much do the two sample sizes differ?

BlinkWhen two lights close together blink alternately, we 鈥渟ee鈥� one light moving back and forth if the time between blinks is short. What is the longest interval of time between blinks that preserves the illusion of motion? Ask subjects to turn a knob that slows the blinking until they 鈥渟ee鈥� two lights rather than one light moving. A report gives the results in the form 鈥渕ean plus or minus the standard error of the mean.鈥� Data for 12subjects are summarized as 251卤45(in milliseconds).

a. Find the sample standard deviation SXfor these measurements.

b. A hasty reader believes that the interval given in the report is a 95%confidence interval for the population mean. Find the actual confidence level for the given interval.

You have measured the systolic blood pressure of an SRS of 25company employees. A 95%confidence interval for the mean systolic blood pressure for the employees of this company is (122,138). Which of the following statements is true?

a. 95%of the sample of employees have a systolic blood pressure between 122 and 138.

b. 95%of the population of employees have a systolic blood pressure between 122and138.

c. If the procedure were repeated many times, 95%of the resulting confidence intervals would contain the population mean systolic blood pressure.

d. If the procedure were repeated many times, 95%of the time the population mean systolic blood pressure would be between 122and 138.

e. If the procedure were repeated many times, 95%of the time the sample mean systolic blood pressure would be between 122and138.

A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the drinking age should be lowered to eighteen. To find this out, he poses the following question to his listeners: 鈥淒o you think that the drinking age should be reduced to eighteen in light of the fact that 18-year-olds are eligible for military service?鈥� He asks listeners to go to his website and vote 鈥淵es鈥� if they agree the drinking age should be lowered and 鈥淣o鈥� if not. Of the 100 people who voted, 70 answered 鈥淵es.鈥� Which of the following conditions are violated?

I. Random

II. 10%

III. Large Counts

a. I only

b. II only

c. III only

d. I and II only

e. I, II, and III
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