A sample of n=9 athletes is taken from the SW population that has a M =29. Stress scores are measured for athletes. The scores are 23, 33, 26, 28, 30, 26, 27, 25, 25  SS=72  are the data sufficient to conclude that the treatment significantly decreased scores? Use one tailed test with a= .05 to see if we reject the null

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A sample of n=9 athletes is taken from the SW population that has a M =29. Stress scores are measured for athletes. The scores are 23, 33, 26, 28, 30, 26, 27, 25, 25 

SS=72 

are the data sufficient to conclude that the treatment significantly decreased scores? Use one tailed test with a= .05 to see if we reject the null

Expert Solution
Step 1

State the hypotheses.

Statistics homework question answer, step 1, image 1

That is, there is no sufficient evidence to conclude that the treatment significantly decreased scores.

Statistics homework question answer, step 1, image 2

That is, there is sufficient evidence to conclude that the treatment significantly decreased scores.

Step 2

Obtain the value of the test statistic.

The value of the test statistic is obtained below:

Use EXCEL Procedure for mean and standard deviation for the given samples.

Follow the instruction to obtain the values of mean and SD:

  1. Open EXCEL
  2. Go to Data>Data Analysis.
  3. Choose Descriptive Statistics.
  4. Enter the input range as $A$1:$A$10.
  5. Check the Labels in the first row.
  6. Check the option Summary statistics
  7. Click OK.

EXCEL output:

Statistics homework question answer, step 2, image 1

From the EXCEL output, the value of mean is 27 and the standard deviation is 3

Statistics homework question answer, step 2, image 2

Thus, the value of the test statistic is –0.67

 

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