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Chapter 8: Q 75. (page 543)

A plethora of pepperoni? Refer to Exercise 73.

a. Explain why it was necessary to inspect a graph of the sample data when checking the Normal/Large Sample condition.

b. According to the manager of the restaurant, there should be an average of 40

pepperonis on a large pizza. Based on the interval, is there convincing evidence that the average number of pepperonis is less than 40? Explain your answer.

Short Answer

Expert verified

a. It is due to the fact that sample size is small.

b. No evidence is present that average pepperoni is less than40.

Step by step solution

01

Given Information

Number of pepperoni are:47,36,25,37,46,36,49,32,32,34

02

Necessity to inspect graph

10sample values are contained which is less than 30.

Hence, inspecting graph of sample data is necessary to satisfy normal/large sample condition. Si, it's necessary/

03

To check if there is convincing evidence that average number of pepperoni are less than 40

By use of excel, we get:

95%confidence interval is 31.919<渭<42.881

Upper limit is higher than 40

Hence, there is no convincing evidence that average number of pepperoni are less than40

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Most popular questions from this chapter

It鈥檚 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 渭 at a 99% confidence level based on an SRS of size 58

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鈥攔ole="math" localid="1654197644211" 80%,90%,95%,or99%鈥攄o you think was used? Explain your reasoning.

The 10%condition When constructing a confidence interval for a population proportion, we check that the sample size is less than 10%of the population size.

a. Why is it necessary to check this condition?

b. What happens to the capture rate if this condition is violated?

More Oranges:The gardener in the previous exercise randomly selects 20

mandarin oranges from the tree and counts the number of seeds in each orange. Here are the data:

a. Graph the data using a dot plot.

b. Based on your graph, is it plausible that the number of seeds from oranges on this tree follows a distribution that is approximately Normal? Explain your answer.

Critical values What critical value t*from Table B should be used for a confidence interval for the population mean in each of the following situations?

a. A 90% confidence interval based on n=12 randomly selected observations

b. A 95% confidence interval from an SRS of 30 observations

c. A 99% confidence interval based on a random sample of size 58
See all solutions

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