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Chapter 8: Q.21 (page 478)

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

Short Answer

Expert verified

The confidence level would increase.

Step by step solution

01

Given Information

If 40heads of lettuce were sampled instead of 20.

02

Explanation

When you take a random sample numerous times, the confidence level refers to the proportion of probability, or certainty, that the confidence interval will contain the real population parameter.

We need to make the interval broader to acquire a higher level of confidence. This is reflected in the multiplier, which rises in proportion to the level of confidence. As the sample size grows, so does the width of the confidence intervals.

If 40heads of lettuce were sampled instead of 20, the confidence level would increase.

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If the Census did another survey, kept the error bound the same, and surveyed only 50 people instead of 200, what would happen to the level of confidence? Why?

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.

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Table8.4

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