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Chapter 9: Q. 77 (page 543)

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?

Short Answer

Expert verified

The claim is supported at the 1% level .

Step by step solution

01

Given Information

For H0, mean is =4.5

For Ha, mean is鈮�4.5

localid="1650205190437" 伪=0.01

Testt=0.995

Df=49

02

Explanation

Using the formula below:

t=(X炉-渭)sn

Critical Value = 2.6822

Reject H0 for|t|>2.6822

t=4.5-5.11.249=-4.21.2=-3.5

Reject H0 , p - value =0.001

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Most popular questions from this chapter

"Phillip鈥檚 Wish," by Suzanne Osorio

My nephew likes to play

Chasing the girls makes his day.

He asked his mother

If it is okay

To get his ear pierced.

She said, 鈥淣o way!鈥�

To poke a hole through your ear,

Is not what I want for you, dear.

He argued his point quite well,

Says even my macho pal, Mel,

Has gotten this done.

It鈥檚 all just for fun.

C鈥檓on please, mom, please, what the hell.

Again Phillip complained to his mother,

Saying half his friends (including their brothers)

Are piercing their ears

And they have no fears

He wants to be like the others.

She said, 鈥淚 think it鈥檚 much less.

We must do a hypothesis test.

And if you are right,

I won鈥檛 put up a fight.

But, if not, then my case will rest.鈥�

We proceeded to call fifty guys

To see whose prediction would fly.

Nineteen of the fifty

Said piercing was nifty

And earrings they鈥檇 occasionally buy.

Then there鈥檚 the other thirty-one,

Who said they鈥檇 never have this done.

So now this poem鈥檚 finished.

Will his hopes be diminished,

Or will my nephew have his fun?

Marketers believe that 92%of adults in the United States own a cell phone. A cell phone manufacturer believes that number is actually lower. 200American adults are surveyed, of which, 174report having cell phones. Use a 5%level of significance. State the null and alternative hypothesis, find the p-value, state your conclusion, and identify the Type Iand Type IIerrors.

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?

For statements a-j ( Section: 9.109 ), answer the following in complete sentences.

a. State a consequence of committing a Type I error.

b. State a consequence of committing a Type II error.

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.
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