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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

We would use a two-tailed test.

Step by step solution

01

Explanation:

Since we have no idea whether the bathroom scale weighs correctly within a pound on the higher or lower side, therefore a two-tailed test is required here. A two-tailed test is required when the degree of uncertainty cannot be known on the higher or lower side.

02

Explanation: 

Diagram depicting a two-tailed test.

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Most popular questions from this chapter

You are testing that the mean speed of your cable Internet connection is more than three Megabits per second. State the null and alternative hypotheses.

Suppose the null hypothesis,H0, is: the blood cultures contain no traces of pathogenX.State the TypeIand TypeIIerrors.

Previously, an organization reported that teenagers spent 4.5hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75hours with a sample standard deviation of 2.0. Conduct a hypothesis test.

At a significance level of a=0.05, what is the correct conclusion?

a. There is enough evidence to conclude that the mean number of hours is more than4.75

b. There is enough evidence to conclude that the mean number of hours is more than 4.5

c. There is not enough evidence to conclude that the mean number of hours is more than 4.5

d. There is not enough evidence to conclude that the mean number of hours is more than 4.75

Instructions: For the following ten exercises,

Hypothesis testing: For the following ten exercises, answer each question.

a. State the null and alternate hypothesis.

b. State the p-value.

c. State alpha.

d. What is your decision?

e. Write a conclusion.

f. Answer any other questions asked in the problem

State the Type I and Type II errors in complete sentences given the following statements.

a. The mean number of years Americans work before retiring is 34.

b. At most 60% of Americans vote in presidential elections.

c. The mean starting salary for San Jose State University graduates is at least \(100,000 per year.

d. Twenty-nine percent of high school seniors get drunk each month.

e. Fewer than 5% of adults ride the bus to work in Los Angeles.

f. The mean number of cars a person owns in his or her lifetime is not more than ten.

g. About half of Americans prefer to live away from cities, given the choice.

h. Europeans have a mean paid vacation each year of six weeks.

i. The chance of developing breast cancer is under 11% for women.

j. Private universities mean tuition cost is more than \)20,000 per year.

The US Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221 homes in Kentucky found that 115 were heated by natural gas. Does the evidence support the claim for Kentucky at the ฮฑ = 0.05 level in Kentucky? Are the results applicable across the country? Why?
See all solutions

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