Two samples were given the same task. One sample was put into a room painted red, and the pther was put into a blue room. Thier creativity was scored and recorded while completeing the task. Results are given below. Use a 0.05 significance level to test the claim that the samples from populations with the same standard deviation. Assume that all the measurements are met for this test. Red Room n=34    Xbar =15.92    s= 5.97   Blue Room n=36  Xbar= 12.95   s= 5.49   Is this a right, left or two-tailed test? What is the P-Value? Rounded to 3 decimals Write a conclusion about this test.

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Two samples were given the same task. One sample was put into a room painted red, and the pther was put into a blue room. Thier creativity was scored and recorded while completeing the task. Results are given below. Use a 0.05 significance level to test the claim that the samples from populations with the same standard deviation. Assume that all the measurements are met for this test.

Red Room

n=34    Xbar =15.92    s= 5.97

 

Blue Room

n=36  Xbar= 12.95   s= 5.49

 

Is this a right, left or two-tailed test?

What is the P-Value? Rounded to 3 decimals

Write a conclusion about this test.

Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

That is, there is no difference between tow population standard deviations.

Statistics homework question answer, step 1, image 2

That is, there is difference between tow population standard deviations.

 

Determine the tail of the test.

 

The tail of the test is “ two tailed”.

Step 2

Obtain the value of the test statistic.

The formula to obtain the value of the statistic is,

Statistics homework question answer, step 2, image 1

Thus, the value of the sample F statistic is 1.1825.

 

 

 

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