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Chapter 11: Q. 120 (page 668)

Suppose an airline claims that its flights are consistently on time with an average delay of at most 15minutes. It claims that the average delay is so consistent that the variance is no more than 150minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25flights. The average delay for those 25flights is 22minutes with a standard deviation of 15minutes.

If an additional test were done on the claim of the average delay, but 45 flights were surveyed, which distribution would you use?

Short Answer

Expert verified

We can use Normal Distribution.

Step by step solution

01

Given Information

An airline claims that its average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes.

02

Explanation

In statistics, an average is defined as the number that measures the central tendency of a given set of numbers.

A distribution is a function that shows the possible values for a variable and how often they occur.

03

Final Answer

To test the claim of the average delay, but 45 flights were surveyed, researcher can well use Student's t- distribution or normal distribution.

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Most popular questions from this chapter

Table 11.42contains information from a survey among 499participants classified according to their age groups. The second column shows the percentage of obese people per age class among the study participants. The last column comes from a different study at the national level that shows the corresponding percentages of obese people in the same age classes in the USA. Perform a hypothesis test at the 5% significance level to determine whether the survey participants are a representative sample of the USA obese population.

Age Class (Years) Obese Expected (percentage) Obese Observed (Frequencies)
20-30
22.4
122
31-40
18.6
104
41-50
12.8
78
51-60
10.4
64
61-70
35.8
168

Table11.42

You want to buy a specific computer. A sales representative of the manufacturer claims that retail stores sell this computer at an average price of \(1,249 with a very narrow standard deviation of \)25. You find a website that has a price comparison for the same computer at a series of stores as follows: \(1,299;\)1,229.99;\(1,193.08;\)1,279;\(1,224.95;\)1,229.99;\(1,269.95;\)1,249. Can you argue that pricing has a larger standard deviation than claimed by the manufacturer? Use the 5% significance level. As a potential buyer, what would be the practical conclusion from your analysis?

Determine the appropriate test to be used in the next three exercises.

A personal trainer is putting together a weight-lifting program for her clients. For a 90-day program, she expects each client to lift a specific maximum weight each week. As she goes along, she records the actual maximum weights her clients lifted. She wants to know how well her expectations met with what was observed.

A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.

What can you conclude at the 5% significance level ?
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