Test the claim about the difference between two population means µ, and 42 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: 4, sH2; a = 0.05. Assume of +o Sample statistics: x, = 2420, s, = 171, n, = 12 and X2 = 2292, s2 = 51, ng = 9 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H1 > H2 O B. Ho: H1 H2 Hai H1 =H2 Hạ: H1 SH2 OC. Ho: H1 = H2 Hạ: H1 # H2 D. Ho: H1 SH2 Hai Hy> H2 OF. Ho: H1
Test the claim about the difference between two population means µ, and 42 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: 4, sH2; a = 0.05. Assume of +o Sample statistics: x, = 2420, s, = 171, n, = 12 and X2 = 2292, s2 = 51, ng = 9 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H1 > H2 O B. Ho: H1 H2 Hai H1 =H2 Hạ: H1 SH2 OC. Ho: H1 = H2 Hạ: H1 # H2 D. Ho: H1 SH2 Hai Hy> H2 OF. Ho: H1
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
Transcribed Image Text:Test the claim about the difference between two population means µ, and Hz at the level of significance a. Assume
the samples are random and independent, and the populations are normally distributed.
Claim: 41 SH2; a = 0.05. Assume o? +o
Sample statistics: x, = 2420, s, = 171, n, = 12 and
X2 = 2292, s2 = 51, n2 = 9
Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: H1> H2
Ha: 41 SH2
B. Họ: H1 + H2
Hạ: H1 = H2
O C. Ho: H1 = H2
Ha: H1 # H2
D. Ho: H1 SH2
Ha: H1> H2
O E. Ho: H12H2
Ha: H1 < H2
O F. Ho: H1 <H2
Ha: H1Z H2
Find the standardized test statistic t.
t=
(Round to two decimal places as needed.)
Find the P-value.
P=
(Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original
claim.
Ho. There
enough evidence at the 5% level of significance to reject the claim.
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