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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

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per night, on average. A survey of 22 LTCC Intermediate Algebra students generated a mean of 7.24 hours with a standard deviation of 1.93 hours. At a level of significance of 5%, do LTCC Intermediate Algebra students get less than

seven hours of sleep per night, on average?

The TypeIIerror is not to reject that the mean number of hours of sleep LTCC students get per night is at least seven when,

in fact, the mean number of hours

a. is more than seven hours.

b. is at most seven hours.

c. is at least seven hours.

d. is less than seven hours.

A recent survey in the N.Y. Times Almanac indicated that 48.8% of families own stock. A broker wanted to determine if this survey could be valid. He surveyed a random sample of 250 families and found that 142 owned some type of stock. At the 0.05 significance level, can the survey be considered to be accurate?

The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 7.42 inches with a standard deviation of 1.3 inches. At the α=0.05 level, can it be concluded that the mean rainfall was below the reported average? What if α=0.01? Assume the amount of summer rainfall follows a normal distribution.

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?

A sleeping bag is tested to withstand temperatures of –15°F. You think the bag cannot stand temperatures that low. State the Type I and Type II errors in complete sentences.

In words, describe1–β
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