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Chapter 9: Q. 72 (page 542)

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 22LTCC Intermediate Algebra students generated a mean of 7.24hours with a standard deviation of 1.93hours. At a level of significance of 5%, do LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average? The distribution to be used for this test is X¯~

a.N7.24,1.9322

b.N(7.24,1.93)

c.t22

d.t21

Short Answer

Expert verified

We use a Studentt-distribution with n-1degrees of freedom i.e. X¯~t21.

Step by step solution

01

Student's t-distribution.

When we are testing a population means and when the population standard deviation is unknown we use a Student's t-distribution.

02

Using t21

Because in this test sample size is n=22, we use a Student's t-distribution with n-1degrees of freedom i.e.

X¯~t21

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Most popular questions from this chapter

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"Dalmatian Darnation," by Kathy Sparling

A greedy dog breeder named Spreckles

Bred puppies with numerous freckles

The Dalmatians he sought

Possessed spot upon spot

The more spots, he thought, the more shekels.

His competitors did not agree

That freckles would increase the fee.

They said, “Spots are quite nice

But they don't affect price;

One should breed for improved pedigree.”

The breeders decided to prove

This strategy was a wrong move.

Breeding only for spots

Would wreak havoc, they thought.

His theory they want to disprove.

They proposed a contest to Spreckles

Comparing dog prices to freckles.

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To bring in big bucks.

Said Spreckles, “Well, shucks,

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Said an amateur statistician

Who wanted to help with this mission.

“Twenty-one for the sample

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They counted each spot,

Mark, freckle and dot

And tallied up every one.

Instead of one hundred one spots

They averaged ninety six dots

Can they muzzle Spreckles’

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A bathroom scale claims to be able to identify correctly any weight within a pound. You think that it cannot be that

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Assume the p-value is 0.2564. What type of test is this? Draw the picture of the p-value.
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