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Chapter 8: Q.16 (page 478)

Which distribution should you use for this problem?

Short Answer

Expert verified

The distribution for this problem isN2.2,0.220.

Step by step solution

01

Given Information 

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.

02

Explanation

The mean and standard deviation are the two parameters of a conventional normal distribution. In a normal distribution, 68% percent of the observations are within one standard deviation of the mean,95 percent are within two standard deviations, and 99.7%are within three standard deviations. For this problem we should use normal distribution with parameters:

N渭,蟽n

Where,

渭=2.2

and

蟽n=0.220

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What would happen if 40 heads of lettuce were sampled instead of 20, and the confidence level remained the same?
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