Question 345025: A sample of 65 observations is selected from one population with a population standard
deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from
a second population with a population standard deviation of 0.66. The sample mean is
2.59. Conduct the following test of hypothesis using the .08 significance level.
H0: u1 < u2
H1: u1 >u2
a. Is this a one-tailed or a two-tailed test?
b. State the decision rule.
c. Compute the value of the test statistic.
d. What is your decision regarding H0?
e. What is the p-value?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A sample of 65 observations is selected from one population with a population standard deviation of 0.75.
The sample mean is 2.67.
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A sample of 50 observations is selected from a second population with a population standard deviation of 0.66.
The sample mean is 2.59.
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Conduct the following test of hypothesis using the .08 significance level.
H0: u1 <= u2
H1: u1 >u2
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Note: Equality MUST be part of Ho in every hypothesis test.
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a. Is this a one-tailed or a two-tailed test?
Right-tailed
H1 ALWAYS tells you the type of test.
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b. State the decision rule.
If the p-value is greater than 8%, fail to reject Ho.
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c. Compute the value of the test statistic.
t = (2.57-2.69)/sqrt[s1^2/n1 + s2^2/n2] = 0.6071
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d. What is your decision regarding H0?
e. What is the p-value?
Note: The p-value is 0.2725, so fail to reject Ho.
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Comment: I used a 2-Sample T test on a TI-84 to get the
test statistic and the p-value.l
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Cheers,
Stan H.
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