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.H0 : μ1 ≤ μ2H1 : μ1 > μ2Compute 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.)

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Asked Dec 2, 2019
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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.

H0 : μ1 ≤ μ2

H1 : μ1 > μ2

  1. 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.)

 

 
 
 
 
 
 
 
 

 

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Expert Answer

Step 1

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

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п, 365, х1%32.67, s, 3D0.75 n2-50, x2 2.59, s,-0.66

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Step 2

(1)

Formula for test statistic is,

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Xi-X2 Z= 2. n n2 2.67-2.59 0.752 0.66 65 50 0.08 0.1317795362 Z-0.60707453 Z 0.61

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Step 3

Therefore, test statistic is...

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