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Chapter 8: Q.40 (page 479)

Which distribution should you use for this problem?

Short Answer

Expert verified

The distribution ist70-1=t69

Step by step solution

01

Given information

Given in the question that, A hospital is trying to cut down on emergency room wait times. It is interested in the amount of time patients must wait before being called back to be examined. An investigation committee randomly surveyed70patients. The sample mean was1.5hours with a sample standard deviation of0.5 hours.

02

Explanation

The distribution required for this problem is tdistribution with parameters tn-1.

Here, the number of patients surveyed is 70.

Therefore,

tn鈭�1

where, n=70

So,

t70-1=t69

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Most popular questions from this chapter

During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80 shots made by DeAndre during the 2013 season. Let X = the number of shots that scored points.

a. What is the probability distribution for X?

b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.

c. Use your calculator to find the probability that DeAndre scored with 60 of these shots.

d. Find the probability that DeAndre scored with more than 50 of these shots

The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X=the age of a Winter Foothill College student.

In words, define the random variable X炉.

When designing a study to determine this population proportion, what is the minimum number you would need to survey to be 90% confident that the population proportion is estimated to within 0.05 ?

Using the same p鈥� and level of confidence, suppose that n were increased to 100. Would the error bound become larger

or smaller? How do you know?

In one complete sentence, explain what the interval means.
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