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Which distribution should you use for this problem?

Short Answer

Expert verified

The distribution isN244,1550.

Step by step solution

01

Given Information

The sample mean is 244 pounds. The sample standard
deviation is 11 pounds.
02

Explanation

The sample mean is 244pounds. The sample standard
deviation is 11pounds.

The distribution for this problem isN244,1550.

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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.

Six different national brands of chocolate chip cookies were randomly selected at the supermarket. The grams of fat per serving are as follows: 8;8;10;7;9;9. Assume the underlying distribution is approximately normal.

a. Construct a 90%confidence interval for the population mean grams of fat per serving of chocolate chip cookies

sold in supermarkets.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

b. If you wanted a smaller error bound while keeping the same level of confidence, what should have been changed in the study before it was done?

c. Go to the store and record the grams of fat per serving of six brands of chocolate chip cookies.

d. Calculate the mean.

e. Is the mean within the interval you calculated in part a? Did you expect it to be? Why or why not?

What is meant by the term 90%confident鈥 when constructing a confidence interval for a mean?

a. If we took repeated samples, approximately 90%of the samples would produce the same confidence interval.

b. If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would

contain the sample mean.

c. If we took repeated samples, approximately 90%of the confidence intervals calculated from those samples would

contain the true value of the population mean.

d. If we took repeated samples, the sample mean would equal the population mean in approximately 90%of the samples.

Table 8.2shows a different random sampling of 20cell phone models. Use this data to calculate a 93% confidence interval for the true mean SAR for cellphones certified for use in the United States. As previously, assume that the population standard deviation is 蟽= 0.337.

Phone ModelSAR Phone ModelSAR
Blackberry pearl81201.48
Nokia E71x1.53
HTC Evo Design 4G0.8
Nokia N750.68
HTC Freestyle1.15
Nokia N791.4
LG Ally1.36
Sagem Puma1.24
LG Fathom0.77
Samsung Fascinate0.57
LG Optimus Vu0.462
Samsung Infuse 4G
0.2
Motorola Cliq XT1.36
Samsung Nexus S0.51
Motorola Droid pro1.39
Samsung Replenish0.3
Motorola Droid Razr M1.3
Sony W518a walkman0.73
Nokia 7705Twist0.7
ZTE C79 0.869

The data in the Table are the result of a random survey of 39national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X=the number of colors on a national flag.

XFreq.11273184756

Construct a 95%confidence interval for the true mean number of colors on national flags.

The 95%confidence interval is_____.

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