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Chapter 8: Q.13 (page 478)

A sample of 20heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was 2.2pounds with a standard deviation of 0.1pounds. The population standard deviation is known to be 0.2pounds.

Identify the following:

a. x炉=

b. 蟽=

C. n=

Short Answer

Expert verified

The value of

a). x炉=2.2

b).蟽=0.2

c).n=20

Step by step solution

01

Given Information (Part a)

The weight of each head of lettuce was then recorded. The mean weight was 2.2 pounds with a standard deviation of 0.1 pounds. The population standard deviation is known to be 0.2 pounds.

02

Explanation(Part a)

The mean weight was 2.2pounds.

Therefore,x炉=2.2.

03

Given Information (Part b)

The mean weight was 2.2pounds with a standard deviation of 0.1pounds.

04

Explanation (Part b)

The mean weight was 2.2pounds with a standard deviation of 0.1pounds.

Therefore, 蟽=0.2.

05

Given Information (Part c)

A sample of 20 heads of lettuce was selected.

06

Explanation (Part c)

A sample of 20 heads of lettuce was selected.
Therefore,n=20.

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Most popular questions from this chapter

In a recent sample of 84used car sales costs, the sample mean was \(6,425with a standard deviation of \)3,156. Assume

the underlying distribution is approximately normal.

a. Which distribution should you use for this problem? Explain your choice.

b. Define the random variableXin words.

c. Construct a 95%confidence interval for the population mean cost of a used car.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

d. Explain what a 鈥�95% confidence interval鈥� means for this study.

Construct a 95% confidence interval for the population mean weight of the heads of lettuce. State the confidence interval, sketch the graph and calculate the error bound.

On May 23,2013, Gallup reported that of the 1005people surveyed, 76%of U.S. workers believe that they will continue working past retirement age. The confidence level for this study was reported at 95%with a 卤3%margin of error.

a. Determine the estimated proportion from the sample.

b. Determine the sample size.

c. Identify CL and .

d. Calculate the error bound based on the information provided.

e. Compare the error bound in part d to the margin of error reported by Gallup. Explain any differences between the values.

f. Create a confidence interval for the results of this study.

g. A reporter is covering the release of this study for a local news station. How should she explain the confidence interval to her audience?

Forbes magazine published data on the best small firms in 2012. These were firms that had been publicly traded for at least a year, have a stock price of at least \(5per share, and have reported annual revenue between \)5million and$1 billion.

The Table 8.13 shows the ages of the corporate CEOs for a random sample of these firms.

Use this sample data to construct a 90%confidence interval for the mean age of CEO鈥檚 for these top small firms. Use the Student's t-distribution.

Why would the error bound change if the confidence level were lowered to95%?

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