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 0.08 significance level.
H_{0} : μ_{1} ≤ μ_{2}
H_{1} : μ_{1} > μ_{2}
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
2. What is the p-value? (Round your answer to 4 decimal places.)
From the given information, level of significance = 0.08.
and
For a sample of 65,
n = 65
Mean =2.67 and standard deviation = 0.75.
For a sample of 50,
n = 50
Mean = 2.59 and Standard deviation = 0.66
(1)
Formula for test statistic is,
Therefore, test statistic is...
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