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Chapter 9: Q. 56 (page 540)

A bathroom scale claims to be able to identify correctly any weight within a pound. You think that it cannot be that

accurate. What type of test would you use?

Short Answer

Expert verified

In this scenario, a two-tailed test is used.

Step by step solution

01

Step :1 Introduction 

A two-tailed test is a statistical process that determines if a sample is greater or smaller than a certain range of values by using a two-sided critical area of a distribution. It's used in statistical significance testing and null hypothesis testing.

02

Explanation

According to a bathroom scale, any weight within a pound can be correctly identified. We don't think it's that precise.

As a result, we can see that the alternative hypothesis contains a (鈮�)sign. As a result, we find that a two-tailed test is appropriate in this circumstance.

Diagrammatic representation of two tailed test:

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Most popular questions from this chapter

The mean entry level salary of an employee at a company is $58,000. You believe it is higher for IT professionals in the company. State the null and alternative hypotheses.

A bottle of water is labeled as containing 16 fluid ounces of water. You believe it is less than that. What type of test would you use?

The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.

a. Is this a test of one mean or proportion?

b. State the null and alternative hypotheses.

H0:

Ha:

c. Is this a right-tailed, left-tailed, or two-tailed test?

d. What symbol represents the random variable for this test?

e. In words, define the random variable for this test.

f. Calculate the following:

i.x=

ii.role="math" localid="1649760873126" n=

iii.p'=

g. Calculate role="math" localid="1649760901479" 蟽x=Show the formula set-up.

h. State the distribution to use for the hypothesis test.

i. Find the p-value.

j. At a pre-conceived 伪=0.05, what is your:

i. Decision:

ii. Reason for the decision:

iii. Conclusion (write out in a complete sentence):

Suppose the null hypothesis, H0, is: a patient is not sick. Which type of error has the greater consequence, Type Ior TypeII?

Your friend claims that his mean golf score is 63. You want to show that it is higher than that. What type of test would

you use?
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