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Chapter 8: Q. 22 (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.

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

Short Answer

Expert verified

If the sample size is increased the error will decrease.

Step by step solution

01

Given Information

A sample of 20heads of lettuce was selected. The mean weight was 2.2pounds with a standard deviation of 0.1 pounds. The population standard deviation is known to be 0.2 pounds.

02

Explanation

Population standard deviation looks at the square root of the variance of the set of numbers. It's used to determine a confidence interval for concluding (such as accepting or rejecting a hypothesis).

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