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Mathematics

11th - 12th Grade

CCSS covered

Used 19+ times

Mac's Hypothesis Testing
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30 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 It is desired to test the claim that a steady diet of wolfbane will cause a lycanthrope (werewolf) to lose 10 lbs. over 5 months. A random sample of 49 lycanthropes was taken yielding an average weight loss over 5 months of 12.5 pounds, with S = 7 lbs. Identify the critical value suitable for conducting a two-tail test of the hypothesis at the 5% level.

2.06
1.50
1
1.96

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The average miles on a tank of gas for the Ford

Explorer is 300 miles with a standard deviation of 22

miles. A consumer group feels the average is actually

lower. They survey 40 vehicles and find the average

miles per tank is 290 miles. At α = 0.05, test the

consumer groups’ claim that the miles per tank is

actually lower than 300 miles.

There is enough evidence to reject the claim

There is not enough evidence to reject the claim

There is enough evidence to support the claim

There is not enough evidence to support the claim

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A left-tailed test has a test statistic of z = -2.72. Which is the correct p-value?

0.0033
.00486
.0096
.0066 
information

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 64"

H₀: μ > 64"
Hₐ: μ ≠ 64"
H₀: μ = 64"
Hₐ: μ > 64"
H₀: p > 64"
Hₐ: p ≠ 64"
H₀: p = 64"
Hₐ: p > 64"

Tags

CCSS.HSS.IC.B.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the critical value (in a test about proportions) for a left-tailed test with α = 0.05 and n ≥ 30. 

z0 = -1.645
z0 = -2.33
z0 = -1.96
z0 = 2.58

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the critical value (in a test about means when population standard deviation is known) for a right-tailed test with α = 0.01 and n ≥ 30. 

z0 = 1.645
z0 = 2.33
z0 = 1.96
t0 = 2.58

Tags

CCSS.HSS.ID.A.4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In their advertisements, a new diet program would like to claim that their methods result in a mean weight loss of more than ten pounds in two weeks. In order to determine if this is a valid claim, they hire an independent testing agency that then selects twenty-five people to be placed on this diet. The agency should be testing the null hypothesis H0: m = 10 and the alternative hypothesis

Ha: μ < 10
Ha: μ > 10
Ha: μ ≥ 10
Ha: μ ≤ 10

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.5

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