Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether μ₁ μ₂ at the α = 0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about μ₁-H₂. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) State the conclusion for this hypothesis test. ... n X S Population 1 Population 2 20 23 48.2 4.1 45.4 12.7 ⒸA. Do not reject Ho. There is sufficient evidence at the x = 0.01 level of significance to conclude that μ₁ > μ₂. B. Reject Ho. There is sufficient evidence at the α = 0.01 level of significance to conclude that μ₁ > μ₂. C. Do not reject Ho. There is not sufficient evidence at the α = 0.01 level of significance to conclude that μ₁ >μ₂. D. Reject Ho. There is not sufficient evidence at the x = 0.01 level of significance to conclude that µ₁ >µ₂. (b) The 99% confidence interval about μ₁ −µ₂ is the range from a lower bound of to an upper bound of (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Use the given statistics to complete parts (a) and (b). Assume that the
populations are normally distributed.
(a) Test whether μ₁ > μ₂ at the α = 0.01 level of significance for the given sample
data.
(b) Construct a 99% confidence interval about μ₁ - H₂.
Find the test statistic for this hypothesis test.
(Round to two decimal places as needed.)
Determine the P-value for this hypothesis test.
(Round to three decimal places as needed.)
State the conclusion for this hypothesis test.
n
(b) The 99% confidence interval about μ₁ −µ₂ is the range from a lower bound of
(Round to three decimal places as needed.)
X
S
Population 1
20
48.2
4.1
Population 2
23
45.4
12.7
A. Do not reject Ho. There is sufficient evidence at the x = 0.01 level of significance to conclude that μ₁ > μ₂.
B. Reject Ho. There is sufficient evidence at the α = 0.01 level of significance to conclude that μ₁ > μ₂.
C. Do not reject Hỏ. There is not sufficient evidence at the x = 0.01 level of significance to conclude that µ₁ > H₂.
D. Reject Ho. There is not suff ient evidence at the α = 0.01 level significance to
ude that μ₁ > ₂.
to an upper bound of
Transcribed Image Text:Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether μ₁ > μ₂ at the α = 0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about μ₁ - H₂. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) State the conclusion for this hypothesis test. n (b) The 99% confidence interval about μ₁ −µ₂ is the range from a lower bound of (Round to three decimal places as needed.) X S Population 1 20 48.2 4.1 Population 2 23 45.4 12.7 A. Do not reject Ho. There is sufficient evidence at the x = 0.01 level of significance to conclude that μ₁ > μ₂. B. Reject Ho. There is sufficient evidence at the α = 0.01 level of significance to conclude that μ₁ > μ₂. C. Do not reject Hỏ. There is not sufficient evidence at the x = 0.01 level of significance to conclude that µ₁ > H₂. D. Reject Ho. There is not suff ient evidence at the α = 0.01 level significance to ude that μ₁ > ₂. to an upper bound of
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