Transcript les4e_alq_07ac

Active Learning Lecture Slides
For use with Classroom Response Systems
Chapter 7: Hypothesis Testing with
One Sample
Elementary Statistics:
Picturing the World
Fourth Edition
by Larson and Farber
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 4- 1
State the null and alternative hypotheses.
A company claims the mean lifetime of its
AA batteries is more than 16 hours.
A. H0: μ > 16 Ha: μ ≤ 16
B. H0: μ < 16 Ha: μ ≥ 16
C. H0: μ ≤ 16 Ha: μ > 16
D. H0: μ ≥ 16 Ha: μ < 16
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 2
State the null and alternative hypotheses.
A company claims the mean lifetime of its
AA batteries is more than 16 hours.
A. H0: μ > 16 Ha: μ ≤ 16
B. H0: μ < 16 Ha: μ ≥ 16
C. H0: μ ≤ 16 Ha: μ > 16
D. H0: μ ≥ 16 Ha: μ < 16
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 3
State the null and alternative hypotheses.
A student claims the mean cost of a
textbook is at least $125.
A. H0: μ > 125 Ha: μ ≤ 125
B. H0: μ < 125 Ha: μ ≥ 125
C. H0: μ ≤ 125 Ha: μ > 125
D. H0: μ ≥ 125 Ha: μ < 125
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 4
State the null and alternative hypotheses.
A student claims the mean cost of a
textbook is at least $125.
A. H0: μ > 125 Ha: μ ≤ 125
B. H0: μ < 125 Ha: μ ≥ 125
C. H0: μ ≤ 125 Ha: μ > 125
D. H0: μ ≥ 125 Ha: μ < 125
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 5
True or false:
Testing the claim that at least 88% of
students have a cell phone would be a
right-tail test.
A. True
B. False
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 6
True or false:
Testing the claim that at least 88% of
students have a cell phone would be a
right-tail test.
A. True
B. False
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 7
You are testing the claim that the mean cost of a
new car is more than $25,200. How should you
interpret a decision that rejects the null
hypothesis?
A. There is enough evidence to reject the claim.
B. There is enough evidence to support the
claim.
C. There is not enough evidence to reject the
claim.
D. There is not enough evidence to support the
claim.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 8
You are testing the claim that the mean cost of a
new car is more than $25,200. How should you
interpret a decision that rejects the null
hypothesis?
A. There is enough evidence to reject the claim.
B. There is enough evidence to support the
claim.
C. There is not enough evidence to reject the
claim.
D. There is not enough evidence to support the
claim.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 9
True or false:
Given H0: μ = 40 Ha: μ ≠ 40 and P = 0.0436.
You would reject the null hypothesis at the
0.05 level of significance.
A. True
B. False
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 10
True or false:
Given H0: μ = 40 Ha: μ ≠ 40 and P = 0.0436.
You would reject the null hypothesis at the
0.05 level of significance.
A. True
B. False
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 11
Find the critical value, z0, for a left-tailed
test at the 0.10 level of significance.
A. z0 = –1.645
B. z0 = 1.645
C. z0 = –1.28
D. z0 = 1.28
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 12
Find the critical value, z0, for a left-tailed
test at the 0.10 level of significance.
A. z0 = –1.645
B. z0 = 1.645
C. z0 = –1.28
D. z0 = 1.28
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 13
Find the standardized test statistic z for the
following situation:
Claim: μ >15; x  13.6 s = 3.4
n = 40
A. z = 2.60
B. z = –2.60
C. z = –0.07
D. z = 12.90
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 14
Find the standardized test statistic z for the
following situation:
Claim: μ >15; x  13.6 s = 3.4
n = 40
A. z = 2.60
B. z = –2.60
C. z = –0.07
D. z = 12.90
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 15
Find the critical value(s), t0, for a two-tailed
test, α = 0.05, and n = 8.
A. –t0 = –1.96 and t0 = 1.96
B. –t0 = –2.306 and t0 = 2.306
C. –t0 = –1.895 and t0 = 1.895
D. –t0 = –2.365 and t0 = 2.365
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 16
Find the critical value(s), t0, for a two-tailed
test, α = 0.05, and n = 8.
A. –t0 = –1.96 and t0 = 1.96
B. –t0 = –2.306 and t0 = 2.306
C. –t0 = –1.895 and t0 = 1.895
D. –t0 = –2.365 and t0 = 2.365
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 17
Use technology to find the P-value for the
following test:
H0: μ ≤ 20 Ha: μ > 20
x  21.3 s = 2.1 n = 16
A. 0.0128
B. 0.0257
C. 0.9872
D. 0.0066
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 18
Use technology to find the P-value for the
following test:
H0: μ ≤ 20 Ha: μ > 20
x  21.3 s = 2.1 n = 16
A. 0.0128
B. 0.0257
C. 0.9872
D. 0.0066
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 19
Find the standardized test statistic z for the
following situation:
Claim: p ≠ 0.23; x = 52
n = 200
A. z = 0.97
B. z = 1.01
C. z = 0.51
D. z = –1.01
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 20
Find the standardized test statistic z for the
following situation:
Claim: p ≠ 0.23; x = 52
n = 200
A. z = 0.97
B. z = 1.01
C. z = 0.51
D. z = –1.01
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 21
Find the standardized test statistic χ2 for
the following situation:
Claim: σ < 5.2; s = 4.47
n = 20
A. χ2 = 25.71
B. χ2 = 16.33
C. χ2 = 14.04
D. χ2 = 14.78
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 22
Find the standardized test statistic χ2 for
the following situation:
Claim: σ < 5.2; s = 4.47
n = 20
A. χ2 = 25.71
B. χ2 = 16.33
C. χ2 = 14.04
D. χ2 = 14.78
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 7- 23