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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.

Short Answer

Expert verified

The goodness-of-fit test is the best and most relevant test that can be applied here.

Step by step solution

01

Given Information 

Given in the question that 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. we have to determine the appropriate test to be taken here.

02

Explanation  

In the scenario, a personal trainer is caring for a client who is participating in a 90-day programme. She noted that the maximum weight lifted by their client corresponded to the maximum weight each week while doing so. To perform this type of analysis, she must first determine the maximum weight expectation and then compare the actual weight to the maximum weight determined. As a result, the goodness-of-fit test can be used to compare both observations in this type of investigation.

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Most popular questions from this chapter

Use a goodness-of-fit test to determine if high school principals believe that students are absent equally during the week or not.

Teachers want to know which night each week their students are doing most of their homework. Most teachers think that students do homework equally throughout the week. Suppose a random sample of 56 students were asked on which night of the week they did the most homework. The results were distributed as in Table 11.8.SundayMondayTuesdayWednesdayThursdayFridaySaturdayNumber ofStudents1181071055

From the population of students, do the nights for the highest number of students doing the majority of their homework occur with equal frequencies during a week? What type of hypothesis test should you use?

How many passengers are expected to travel between 401 and 500 miles and purchase first-class tickets?

A company packages apples by weight. One of the weight grades is Class Aapples. Class Aapples have a mean weight of 150g, and there is a maximum allowed weight tolerance of 5%above or below the mean for apples in the same consumer package. A batch of apples is selected to be included in a ClassAapple package. Given the following apple weights of the batch, does the fruit comply with the Class Agrade weight tolerance requirements. Conduct an appropriate hypothesis test.

(a) at the 5%significance level

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In general, if the observed values and expected values of a goodness-of-fit test are not close together, then the test statistic can get very large and on a graph will be way out in the right tail.

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