You wish to test the following claim H at a significance level of 0.05. For the

Question

You wish to test the following claim H at a significance level of 0.05. For the context of this problem Post1 est PreTest. Each row gives the scores of a single individual. You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 5.6 106 38.1 46.2 37.6 35.2 66.8 56.1 51.6 66.8 54.4 47.7 45.5 38.8 54.7 47.5 54.7 47.7 45.7 45.2 34.6 40.6 40.6 16.7 16 36.8 50.7 16.6 43 7.7 10.2 26.1 60.6 62 75.8 48.9 40.5 29.9 96.5 38.5 What is the test statistic for this sample? test statistic- (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is...

Explanation / Answer

The statcrunch after putting the data will be:

Stat --> T Stats --> Paired --> Choose sample 1 as post test and sample 2 as pre test --> Set the alternative hypothesis sign as"<" --> Compute

The output will be:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Post-test and Pre-test
H0 : D = 0
HA : D < 0
Hypothesis test results:

Hence,

Test statistic = -1.4528

p - Value = 0.0809

Difference Mean Std. Err. DF T-Stat P-value Post-test - Pre-test -9.8857143 6.8047402 20 -1.4527688 0.0809

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