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# Multiple Regression Worksheet

Multiple Regression Worksheet
• Page 1
1.
Identify the Null and Alternative hypotheses for the statement:
 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:

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

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.

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

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

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

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.

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.

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.

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.