8.45 Sample size, z statistics, and the Graded Naming Test: In an exercise in Chapter 7, we asked you to con- duct a z test to ascertain whether the Graded Naming Test (GNT) scores for Canadian participants differed from the GNT norms based on adults in England. We also used these data in the How It Works section of this chapter. Ihe mean for a sample of 30 adults in Canada was 17.5. The normative mean for adults in England is 20.4, and we assumed a population standard deviation of 3.2. With 30 participants, the z statistic was -4.97, and we were able to reject the null hypothesis. Calculate the test statistic for 3 participants. How does the test statistic change compared to when N of 30 was used? Conduct step 6 of hypothesis testing. Does your conclusion change? If so, does this mean that the actual difference between groups changed? Explain. b. Conduct steps 3,5, and 6 for 100 participants. How does the test statistic change? a. 3,5, and 6 for 20,000 participants. c. Conduct steps How does the test statistic change? d. What is the effect of sample size on the test statistic? As the test statistic changes, has the underlying dif- ference between groups changed? Why might this present a problem for hypothesis testing? e.
8.45 Sample size, z statistics, and the Graded Naming Test: In an exercise in Chapter 7, we asked you to con- duct a z test to ascertain whether the Graded Naming Test (GNT) scores for Canadian participants differed from the GNT norms based on adults in England. We also used these data in the How It Works section of this chapter. Ihe mean for a sample of 30 adults in Canada was 17.5. The normative mean for adults in England is 20.4, and we assumed a population standard deviation of 3.2. With 30 participants, the z statistic was -4.97, and we were able to reject the null hypothesis. Calculate the test statistic for 3 participants. How does the test statistic change compared to when N of 30 was used? Conduct step 6 of hypothesis testing. Does your conclusion change? If so, does this mean that the actual difference between groups changed? Explain. b. Conduct steps 3,5, and 6 for 100 participants. How does the test statistic change? a. 3,5, and 6 for 20,000 participants. c. Conduct steps How does the test statistic change? d. What is the effect of sample size on the test statistic? As the test statistic changes, has the underlying dif- ference between groups changed? Why might this present a problem for hypothesis testing? e.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:8.45 Sample size, z statistics, and the Graded Naming
Test: In an exercise in Chapter 7, we asked you to con-
duct a z test to ascertain whether the Graded Naming
Test (GNT) scores for Canadian participants differed
from the GNT norms based on adults in England. We
also used these data in the How It Works section of this
chapter. The mean for a sample of 30 adults in Canada
was 17.5.The normative mean for adults in England is
20.4, and we assumed a population standard deviation
of 3.2. With 30 participants, the z statistic was -4.97,
and we were able to reject the null hypothesis.
Calculate the test statistic for 3 participants. How
does the test statistic change compared to when
N of 30 was used? Conduct step 6 of hypothesis
testing. Does your conclusion change? If so, does
this mean that the actual difference between groups
changed? Explain.
b. Conduct steps 3,5, and 6 for 100 participantS. How
does the test statistic change?
a.
SO,
Conduct steps3,5, and 6 for 20,000 participants.
How does the test statistic change?
C.
d. What is the effect of sample size on the test statistic?
As the test statistic changes, has the underlying dif-
ference between groups changed? Why might this
present a problem for hypothesis testing?
e.
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