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Chapter 9: Q. 9 (page 537)

A random survey of 75death row inmates revealed that the mean length of time on death row is17.4years with a
standard deviation of6.3years. If you were conducting a hypothesis test to determine if the population mean time on death
row could likely be15years, what would the null and alternative hypotheses be?
a. H0: __________
b. Ha: __________

Short Answer

Expert verified

Null and alternative hypotheses be the p-value 0.0013.0.0013.

Step by step solution

01

Introduction


A normal distribution has a standard deviation of11. We want to verify a claim that the mean is greater than1212. So, the null hypothesis is

\begin{align*} H_0:\mu \leq 12, \end{align*}H0:渭鈮�12,

and the alternate hypothesis is

\begin{align*} H_a:\mu > 12. \end{align*}Ha:渭>12.

We know that the p-value is 0.0013.0.0013. Therefore, the graph for this problem is

02

:  Null and alternative hypotheses be 


The p-value is 0.0013.0.0013.

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Most popular questions from this chapter

Toastmasters International cites a report by Gallop Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 135 report they fear public speaking. Conduct a hypothesis test to determine if the percent at her school is less than 40%.

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.

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"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?

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 伪 = 0.05 level, can it be concluded that the mean rainfall was below the reported average? What if 伪 = 0.01? Assume the amount of summer rainfall follows a normal distribution.

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5years. A study was then done to see if the meantime has increased in the new century. A random sample of 26first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3years with a standard deviation of 1.8years. Suppose that it is somehow known that the population standard deviation is 1.5. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.

a.Ho_______
b.Ha_______
See all solutions

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