11(a) Two random samples of professional baseball players were selected and the number of home runs hit was necorded. One sample was obtained from the National League, and the other sample was obtained from the American League. From the samples, we calculated summary statistics as the following sample size sample mean sample standard deviation National League 12 10.17 8.94 American League 12 11.67 7.23 Also we have calculated S, We want to test if there is a significant difference in the mean number of home runs for the two league. Choose from the followving statements on the null and alternative hypotiheses: 8.17 and v= 21. Let's assume the samples have unequal variances. A H : = 42 vs H : p B. He : = 42 es H:

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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11(al Two random samples of professional baseball players were selected and the number of home
runs hit was recorded. One sample was obtained from the National League, and the other sample
was obtained from the American League.
From the samples, we calculated summary statistics as the following
sample size
sample mean
sample standard deviation
National League
12
10.17
8.94
American League
12
11.67
723
Also we have calculated S. -8.17 and v= 21. Let's assume the samples have unequal variances.
We want to test if there is a significant difference in the mean number of home runs for the two
league. Choose from the following statements on the null and alternative hypotheses:
A He: = 42 vs H : p E
B. He : = 42 Es H: <
C. Ho H2 vs H: p p2
D. H: # = us H:1 I2
O A
OD
11(b) Type in your choice of the appropriate test statistic for 11a
A.
B.
X-
C. --
Po(1 – Po
X-Y)-D,
D.
E.
(X-Y}-D.
(X-Y)-D,
F.
S
D-
G.
H.
(n-1)5
I.
K. E
(0,- E)
E
J.
11d. At the significance level of a = (0.05. which of the folliowing critical value you will use for
11a?
A. t10.05 = 1.721
B. t21.9.025
2.080 C. t20.05 = 1.717 D. tz8.025 = 2.074
Transcribed Image Text:11(al Two random samples of professional baseball players were selected and the number of home runs hit was recorded. One sample was obtained from the National League, and the other sample was obtained from the American League. From the samples, we calculated summary statistics as the following sample size sample mean sample standard deviation National League 12 10.17 8.94 American League 12 11.67 723 Also we have calculated S. -8.17 and v= 21. Let's assume the samples have unequal variances. We want to test if there is a significant difference in the mean number of home runs for the two league. Choose from the following statements on the null and alternative hypotheses: A He: = 42 vs H : p E B. He : = 42 Es H: < C. Ho H2 vs H: p p2 D. H: # = us H:1 I2 O A OD 11(b) Type in your choice of the appropriate test statistic for 11a A. B. X- C. -- Po(1 – Po X-Y)-D, D. E. (X-Y}-D. (X-Y)-D, F. S D- G. H. (n-1)5 I. K. E (0,- E) E J. 11d. At the significance level of a = (0.05. which of the folliowing critical value you will use for 11a? A. t10.05 = 1.721 B. t21.9.025 2.080 C. t20.05 = 1.717 D. tz8.025 = 2.074
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