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.

Mean score on SAT for Undergraduate Admission is 60.80.

a. | H _{0}: μ ≠ 60.80 and H_{1}: μ = 60.80 | ||

b. | H _{0}: μ ≤ 60.80 and H_{1}: μ > 60.80 | ||

c. | H _{0}: μ ≥ 60.80 and H_{1}: μ < 60.80 | ||

d. | H _{0}: μ = 60.80 and H_{1}: μ ≠ 60.80 |

So, the null and alternative hypotheses are H

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.

Average cost of a visit to a doctor's office is more than $50.

a. | H _{0}: μ = $50 and H_{1}: μ < $50 | ||

b. | H _{0}: μ ≠ $50 and H_{1}: μ = $50 | ||

c. | H _{0}: μ ≤ $50 and H_{1}: μ > $50 | ||

d. | H _{0}: μ > $50 and H_{1}: μ ≤ $50 |

So, the null and alternative hypotheses are H

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

Among doctors, the general practitioners earn an average annual salary of not more than $80,000

a. | H _{0}: μ ≤ $80,000 and H_{1}: μ > $80,000 | ||

b. | H _{0}: μ < $80,000 and H_{1}: μ ≥ $80,000 | ||

c. | H _{0}: μ = $80,000 and H_{1}: μ ≠ $80,000 | ||

d. | H _{0}: μ = $80,000 and H_{1}: μ ≤ $80,000 |

So, the null and alternative hypotheses are H

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. | H _{0}: μ > 37.38 | ||

b. | H _{0}: μ ≠ 37.38 | ||

c. | H _{0}: μ < 37.38 | ||

d. | H _{0}: μ = 37.38 |

The null hypothesis is stated as H

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. | H _{1}: μ < 12 | ||

b. | H _{1}: μ < 11.5 | ||

c. | H _{1}: μ > 11.5 | ||

d. | H _{1}: μ > 12 |

The null and alternative hypothesis are H

Correct answer : (1)

6.

Which is true for the test: H_{0}: μ = 10 and H_{1}: μ ≠ 10?

a. | Test is two tailed | ||

b. | Test is right tailed | ||

c. | Test is left tailed |

So, the test is two tailed.

Correct answer : (1)

7.

Which is true for the test: H_{0}: μ ≤ 15 and H_{1}: μ > 15?

a. | Test is two tailed | ||

b. | Test is right tailed | ||

c. | Test is left tailed |

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: H_{0}: μ ≥ 100 and H_{1}: μ < 100?

a. | Test is two tailed | ||

b. | Test is right tailed | ||

c. | Test is left tailed |

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 |

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 |

Correct answer : (4)