The following data are from an experiment comparing two treatment conditions. Do these data indicate a significant difference between the treatment at the levels of .05 level of significance.

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The following data are from an experiment comparing two treatment conditions. Do these data indicate a significant difference between the treatment at the levels of .05 level of significance. 

 

Treatment 1 Treatment 2
13 9
9 5
7 5
11 9
   

 

 

Expert Solution
Step 1

The claim of the test is that the data indicate a significant difference between the treatment or not. The hypothesis.

Null hypothesis:

H0: There is no significant difference between the treatments.

Alternative hypothesis:

H1: There is significant difference between the treatments.

The test statistic and P-value value is obtained by using EXCEL. The software procedure is given below:

  • Enter the data.
  • Select Data > Data Analysis >t-Test: Two-Sample Assuming Equal Variances> OK.
  • Enter Variable 1 Range as A1:A5.
  • Enter Variable 2 Range as B1:B5.
  • Enter Hypothesized Mean Difference as 0.
  • Mark Labels in First Row.
  • Click OK.

The output using EXCEL is as follows:

Statistics homework question answer, step 1, image 1

From the output, the test statistic is 1.7321, and the P-value for two-tail test is 0.1340.

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