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Chapter 9: Q.61 (page 540)

Assume the null hypothesis states that the mean is equal to 88. The alternative hypothesis states that the mean is not

equal to 88. Is this a left-tailed, right-tailed, or two-tailed test?

Short Answer

Expert verified

A two-tailed test is used for the null hypothesis states that the mean is equal to 88.

Step by step solution

01

Introduction

A two-tailed test is a statistical process that determines if a sample is greater or smaller than a certain range of values by using a two-sided critical area of a distribution. It's used in statistical significance testing and null hypothesis testing.

02

Explanation

A two-tailed test is required here as it is undecided whether the mean is higher or lower than 88. Also, the alternative hypothesis(Ha)has a not equal sign indicating that a two-tailed test should be performed here. A two-tailed test is required when the degree of uncertainty is unknown on the higher or lower side.

Also, we can sayH0:p=88Ha:p≠88

A diagram showing a two-tailed test.

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Most popular questions from this chapter

The mean age of De Anza College students in a previous term was 26.6 years old. An instructor thinks the mean age for online students is older than 26.6. She randomly surveys 56 online students and finds that the sample mean is 29.4 with a standard deviation of 2.1. Conduct a hypothesis test.

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.

"Asian Family Reunion," by Chau Nguyen every two years it comes around. We all get together from different towns. In my honest opinion, It's not a typical family reunion. Not forty, or fifty, or sixty, But how about seventy companions! The kids would play, scream, and shout One minute they're happy, another they'll pout. The teenagers would look, stare, and compare from how they look to what they wear. The men would chat about

their business . That they make more, but never less. Money is always their subject and there's always talk of more new projects. The women get tired from all of the chats. They head to the kitchen to set out the mats. Some would sit and some would stand eating and talking with plates in their hands. Then come the games and the songs and suddenly, everyone gets along! With all that laughter, it's sad to say that it always ends in

the same old way. They hug and kiss and say "good-bye" and then they all begin to cry! I say that 60 percent shed their tears but my mom counted 35 people this year. She said

that boys and men will always have their pride, so we won't ever see them cry. I myself don't think she's correct, so could you please try this problem to see if you object?

"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!

La Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of 21 U.S. mothers who recently weaned their children. The mean weaning age was nine months (3/4 year) with a standard deviation of 4 months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old.
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