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Chapter 8: Q 84. (page 544)

Scientists collect data on the blood cholesterol levels (milligrams per deciliter of blood) of a random sample of 24laboratory rats. A 95%confidence interval for the mean blood cholesterol level μis 80.2to 89.8. Which of the following would cause the most worry about the validity of this interval?

a. There is a clear outlier in the data.

b. A stem plot of the data shows a mild right skew.

c. You do not know the population standard deviation σ.

d. The population distribution is not exactly Normal.

e. None of these are a problem when using a t interval.

Short Answer

Expert verified

Option (a) is correct.

Step by step solution

01

Given Information

It is given that sample of 24blood cholesterol levels is taken.

02

Explanation

Strong outliers and strong skewness is the problem for using tprocedures.

Assuming σas standard deviation in tprocedure.

Most suitable option is (a) for not worrying about validity of interval. Clear outlier in data is there.

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Most popular questions from this chapter

It’s about ME Explain how each of the following would affect the margin of error of a confidence interval, if all other things remained the same.

a. Increasing the confidence level

b. Quadrupling the sample size

The Large Counts condition When constructing a confidence interval for a population proportion, we check that both np∧andn1-p∧are at least 10

a. Why is it necessary to check this condition?

b. What happens to the capture rate if this condition is violated?

Age and September 11 Refer to Exercise 42. The study also reported that 86% of

millennials included 9/11 in their top-10 list and 70% of baby boomers included 9/11.

a. Explain why you do not have enough information to give confidence intervals for

millennials and baby boomers separately.

b. Do you think a 95%confidence interval for baby boomers would have a larger or smaller margin of error than the estimate from Exercise 42? Explain your answer.

A plethora of pepperoni? Refer to Exercise 73.

a. Explain why it was necessary to inspect a graph of the sample data when checking the Normal/Large Sample condition.

b. According to the manager of the restaurant, there should be an average of 40

pepperonis on a large pizza. Based on the interval, is there convincing evidence that the average number of pepperonis is less than 40? Explain your answer.

Oranges A home gardener likes to grow various kinds of citrus fruit. One of his

mandarin orange trees produces oranges whose circumferences follow a Normal

distribution with mean 21.1cm and standard deviation 1.8cm.

a. What is the probability that a randomly selected orange from this tree has a

circumference greater than 22cm?

b. What is the probability that a random sample of 20 oranges from this tree has a mean circumference greater than 22 cm?
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