Q1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Group A n = 120 Group B n = 150 X= 62.7 = 61.8 S1= 2.5 S2 = 2.62 Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups are the same? Set alpha to .05. 1. What are the appropriate null and alternative hypothesis? A. Ho: Hi – Hz# 0_H;:H1 – Hz = 0 B. Ho: H1 – H2 >0 H;:µ1 – Hz < 0 C. Ho: Hi – Hz <0 H;: H1 – H2 > 0 D. Ho: H1 – H2 = 0 H;: H1 - H2 # 0 E. None of these. 2. What is the Test statistics? A. Z = ž-y-Do B. Z = x-y-Do С. Т %3 X-y-Do D.T = D-Do E. T = x-y-Do 1 1 Spn1 n2 SD n1 n2 n1 n2 n1 n2 3. What is the value of the test statistic? A. T = 2.82 B.T = 9.20 C.Z = 9.20 D.T = 1.44 E.None of these 4. For a significance level of 0.05, what is the critical value? A. Z0.05 = 1.645 B.to.025 = 1.960 C.to.05 = 1.645 D.zo.025 = 1.960 E.None of these 5. What is the appropriate decision and conclusion? A. Reject Ho, so no significance evidence to conclude heights of the two groups are different. B. Fail to eject Ho, so no significance evidence to conclude heights of the two groups are different. C. Fail to reject Ho, so there significance evidence to conclude: heights of the two groups are different D. Reject Ho, so there is significance evidence to conclude heights of the two groups are different.

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Q1. An anthropologist wants to collect data to determine whether the two different cultural groups that
occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of
adult females are as follows
Group A
n = 120
Group B
n= 150
X,= 62.7
X, = 61.8
S1= 2.5
S2 = 2.62
Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups
are the same? Set alpha to .05.
1. What are the appropriate null and alternative hypothesis?
A. Ho: µ1 – µ2 # 0_H;:µ1 – Hz = 0
B. Họ: H1 – H2 >0 H;: H4 – Hz < 0
C. Ho: µ1 – H2 so H;: µ1 - Hz> 0
D. Ho: µ1 – µ2 = 0 H;: µ1 – H2 # 0
E. None of these.
2. What is the Test statistics?
A. Z =
x-y-Do
В. Z %3D
x-y-Do
C. T = -y-Do
D.T = D-Do
E. T =
x-y-Do
1
Sp +-
Vn1 'n2
SD
n1 n2
n1
n2
n1 n2
3. What is the value of the test statistic?
A. T = 2.82
B.T = 9.20
C.Z = 9.20
D.T = 1.44
E.None of these
4. For a significance level of 0.05, what is the critical value?
A. Z0.05 = 1.645 B.to.025 = 1.960
C. to.05 = 1.645 D.zo.025 = 1.960
E.None of these
5. What is the appropriate decision and conclusion?
A. Reject Ho, so no significance evidence to conclude heights of the two groups are different.
B. Fail to eject Ho, so no significance evidence to conclude heights of the two groups are different.
C. Fail to reject Ho, so there significance evidence to conclude: heights of the two groups are different
D. Reject Ho, so there is significance evidence to conclude heights of the two groups are different.
Transcribed Image Text:Q1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Group A n = 120 Group B n= 150 X,= 62.7 X, = 61.8 S1= 2.5 S2 = 2.62 Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups are the same? Set alpha to .05. 1. What are the appropriate null and alternative hypothesis? A. Ho: µ1 – µ2 # 0_H;:µ1 – Hz = 0 B. Họ: H1 – H2 >0 H;: H4 – Hz < 0 C. Ho: µ1 – H2 so H;: µ1 - Hz> 0 D. Ho: µ1 – µ2 = 0 H;: µ1 – H2 # 0 E. None of these. 2. What is the Test statistics? A. Z = x-y-Do В. Z %3D x-y-Do C. T = -y-Do D.T = D-Do E. T = x-y-Do 1 Sp +- Vn1 'n2 SD n1 n2 n1 n2 n1 n2 3. What is the value of the test statistic? A. T = 2.82 B.T = 9.20 C.Z = 9.20 D.T = 1.44 E.None of these 4. For a significance level of 0.05, what is the critical value? A. Z0.05 = 1.645 B.to.025 = 1.960 C. to.05 = 1.645 D.zo.025 = 1.960 E.None of these 5. What is the appropriate decision and conclusion? A. Reject Ho, so no significance evidence to conclude heights of the two groups are different. B. Fail to eject Ho, so no significance evidence to conclude heights of the two groups are different. C. Fail to reject Ho, so there significance evidence to conclude: heights of the two groups are different D. Reject Ho, so there is significance evidence to conclude heights of the two groups are different.
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