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Chapter 9: Q.70 (page 541)

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.

Short Answer

Expert verified

d. is less than seven hours.

Step by step solution

01

Given information: 

伪(significancelevel)=0.05n=22蟽=1.93x炉=7.24Also,fromtheproblem,wecanstatethenullandalternativehypothesesas:H0:渭鈮�7;Ha:渭<7

From this information, we can find out the p-value.

02

Solution: 

The correct option is d.

From this information, we can find out the p-value to be greater than significance value.

Since the p-value is greater than 0.05 we can reject the null hypothesis.

The null hypothesis is false.

And TypeIIerror, therefore, occurs when we do not reject the null hypothesis even when it is false.

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Most popular questions from this chapter

Registered nurses earned an average annual salary of \(69,110. For that same year, a survey was conducted of 41 California registered nurses to determine if the annual salary is higher than \)69,110 for California nurses. The sample average was \(71,121 with a sample standard deviation of \)7,489. Conduct a hypothesis test.

A teacher believes that 85%of students in the class will want to go on a field trip to the local zoo. She performs a hypothesis test to determine if the percentage is the same or different from 85%. The teacher samples 50students and 39reply that they would want to go to the zoo. For the hypothesis test, use a 1%level of significance.

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A normal distribution has a standard deviation of 1.We want to verify a claim that the mean is greater than12.

A sample of 36is taken with a sample mean of12.5.

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