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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−1

where, n=70

So,

t70-1=t69

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Most popular questions from this chapter

If it were later determined that it was important to be more than 90% confident and a new survey was commissioned, how would it affect the minimum number you need to survey? Why?

List two difficulties the company might have in obtaining random results, if this survey were done by email.

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 data in Table 8.10 are the result of a random survey of 39 national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X = the number of colors on a national flag.

Construct a 95% confidence interval for the true mean number of colors on national flags.

Using the same x¯ , sx , and n = 39, how would the error bound change if the confidence level were reduced to 90%? Why?

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Construct a 90% confidence interval, and state the confidence interval and the error bound.
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