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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: 

α(significancelevel)=0.05n=22σ=1.93x¯=7.24Also,fromtheproblem,wecanstatethenullandalternativehypothesesas:H0:μ≥7;Ha:μ<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

The student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of 30 freshman students and found a mean study time of 137 minutes with a standard deviation of 45 minutes. At α=0.01 level, is the student academic group’s claim correct?

An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on

average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of

49students and obtain a sample mean of 5.1with a sample standard deviation of 1.2Do the data support your claim at the

1%level?

H0:μ≤1,Ha:μ>1

Assume the p-value is 0.1243. What type of test is this? Draw the picture of the p-value.

"Blowing Bubbles," by Sondra Prull

Studying stats just made me tense,

I had to find some sane defense.

Some light and lifting simple play

To float my math anxiety away.

Blowing bubbles lifts me high

Takes my troubles to the sky.

POIK! They're gone, with all my stress

Bubble therapy is the best.

The label said each time I blew

The average number of bubbles would be at least 22.

I blew and blew and this I found

From64blows, they all are round!

But the number of bubbles in64blows

Varied widely, this I know.

20per blow became the mean

They deviated by 6, and not16.

From counting bubbles, I sure did relax

But now I give to you your task.

Was22a reasonable guess?

Find the answer and pass this test!

Some of the following statements refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, H0, and the alternative hypothesis. Ha, in terms of the appropriate parameter (μorp).

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 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.
See all solutions

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