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.
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.
![](/static/compass_v2/shared-icons/check-mark.png)
That is, there is no difference between tow population standard deviations.
That is, there is difference between tow population standard deviations.
Determine the tail of the test.
The tail of the test is “ two tailed”.
Obtain the value of the test statistic.
The formula to obtain the value of the statistic is,
Thus, the value of the sample F statistic is 1.1825.
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