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# Multiple Regression Worksheet

Multiple Regression Worksheet
• Page 1
1.
Identify the Null and Alternative hypotheses for the statement:
Mean score on SAT for Undergraduate Admission is 60.80.
 a. H0: μ ≠ 60.80 and H1: μ = 60.80 b. H0: μ ≤ 60.80 and H1: μ > 60.80 c. H0: μ ≥ 60.80 and H1: μ < 60.80 d. H0: μ = 60.80 and H1: μ ≠ 60.80

#### Solution:

The Mean score for Undergraduate Admission on SAT is 60.80.

So, the null and alternative hypotheses are H0: μ = 60.80 and H1: μ ≠ 60.80.

Correct answer : (4)
2.
Write the Null and Alternative hypotheses for the statement:
Average cost of a visit to a doctor's office is more than $50.  a. H0: μ =$50 and H1: μ < $50 b. H0: μ ≠$50 and H1: μ = $50 c. H0: μ ≤$50 and H1: μ > $50 d. H0: μ >$50 and H1: μ ≤ $50 #### Solution: Average cost of a visit to a doctor's office is more than$50.

So, the null and alternative hypotheses are H0: μ ≤ $50 and H1: μ >$50.

Correct answer : (3)
3.
Write the Null and Alternative hypotheses for the statement:
Among doctors, the general practitioners earn an average annual salary of not more than $80,000  a. H0: μ ≤$80,000 and H1: μ > $80,000 b. H0: μ <$80,000 and H1: μ ≥ $80,000 c. H0: μ =$80,000 and H1: μ ≠ $80,000 d. H0: μ =$80,000 and H1: μ ≤ $80,000 #### Solution: Among doctors, the general practitioners earn an average annual salary of not more than$80,000.

So, the null and alternative hypotheses are H0: μ ≤ $80,000 and H1: μ >$80,000

Correct answer : (1)
4.
Which of the following is the null hypothesis for the given statement? "The average chest measurement of a U.S soldier is 37.38 inches."
 a. H0: μ > 37.38 b. H0: μ ≠ 37.38 c. H0: μ < 37.38 d. H0: μ = 37.38

#### Solution:

The average chest measurement of a U.S soldier is 37.38 inches.

The null hypothesis is stated as H0: μ = 37.38

Correct answer : (4)
5.
The average daily intake of salt by an American is estimated to be less than 12 grams. The average of a random sample of 50 Americans was found as 11.5 grams with a standard deviation of 2.5 grams. Select the proper alternative hypothesis.
 a. H1: μ < 12 b. H1: μ < 11.5 c. H1: μ > 11.5 d. H1: μ > 12

#### Solution:

The average daily intake of salt by an American estimated to be less than 12 grams.

The null and alternative hypothesis are H0: μ ≥ 12 and H1: μ < 12

Correct answer : (1)
6.
Which is true for the test: H0: μ = 10 and H1: μ ≠ 10?
 a. Test is two tailed b. Test is right tailed c. Test is left tailed

#### Solution:

The alternative hypothesis in the test is H1: μ ≠ 10. That is H1: μ < 10 or μ > 10.

So, the test is two tailed.

Correct answer : (1)
7.
Which is true for the test: H0: μ ≤ 15 and H1: μ > 15?
 a. Test is two tailed b. Test is right tailed c. Test is left tailed

#### Solution:

The alternative hypothesis in the test is H1: μ > 15.

So, the test is right tailed.
[The inequality sign in the alternative hypothesis is greater than.]

Correct answer : (2)
8.
Which is true for the test: H0: μ ≥ 100 and H1: μ < 100?
 a. Test is two tailed b. Test is right tailed c. Test is left tailed

#### Solution:

The alternative hypothesis in the test is H1: μ < 100

So, the test is left tailed.
[The inequality sign in the alternative hypothesis is less than.]

Correct answer : (3)
9.
Which is type I error?
 a. reject the research hypothesis when it is true b. reject the research hypothesis when it is false c. do not reject the research hypothesis when it is true d. do not reject the research hypothesis when it is false

#### Solution:

In a statistical hypothesis testing, rejecting the research hypothesis when it is true is called type I error.

Correct answer : (1)
10.
Which is type II error?
 a. reject the research hypothesis when it is true b. reject the research hypothesis when it is false c. do not reject the research hypothesis when it is true d. do not reject the research hypothesis when it is false

#### Solution:

In a statistical hypothesis testing, not rejecting the research hypothesis when it is false is called type II error.

Correct answer : (4)

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