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Chapter 8: Q.36 (page 479)

Using the same mean, standard deviation, and level of confidence, suppose that n were 69 instead of 25. Would the error bound become larger or smaller? How do you know?

Short Answer

Expert verified

The error bound will become smaller.

Step by step solution

01

Given Information

Suppose the confidence level was reduced to 90%from 95%.

Also, the mean, standard deviation, and sample size are the same.

02

Explanation

As the formuia for error bound is given below

EBM=za2σn

So decrease in confidence level will decrease the error bound because, as the confidence level decreases the area under the curve to capture the true population mean is less.

Hence the error bound will become smaller.

03

Step # Final Answer

The error bound will become smaller.

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Most popular questions from this chapter

Refer back to the pizza-delivery Try It exercise. The mean delivery time is 36minutes and the population standard deviation is six minutes. Assume the sample size is changed to 50restaurants with the same sample mean.Find a 90% confidence interval estimate for the population mean delivery time.

Suppose we know that a confidence interval is (42.12,47.88). Find the error bound and the sample mean.

The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.

Identify the following:

a. x¯ = _____

b. σ = _____

c. n = _____

Explain in complete sentences what the confidence interval means.

The standard deviation of the weights of elephants is known to be approximately 15pounds. We wish to construct a 95% confidence interval for the mean weight of newborn elephant calves. Fifty newborn elephants are weighed. The sample mean is 244 pounds . The simple standard deviation is 11 pounds.

1. Identify the following:

a. x- = _____

b. σ= _____

c. n= _____
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