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Which distribution should you use for this problem ?

Short Answer

Expert verified

The distribution for this problem isN(0.6;0.035).

Step by step solution

01

Given Information

They randomly surveyed 200households and found that in 120 of them.

02

Explanation

The distribution for this problem is

p=0.6

p(1-p)n=0.6(1-0.6)200=0.035

N(0.6;0.035)

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Most popular questions from this chapter

A random sample of statistics students were asked to estimate the total number of hours they spend watching television in an average week. The responses are recorded in Table 8.4. Use this sample data to construct a 98% confidence interval for the mean number of hours statistics students will spend watching television in one week.

0
3
1
20
9
5
10
1
10
4
14
2
4
4
5

Table8.4

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.

Calculate the following:

a. lower limit

b. upper limit

c. error bound

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 a95%confidence interval for the true mean number of colors on national flags.

How much area is in both tails (combined)?

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.

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