Question

test the claim about the mean of the differences for a population of paired data at the level of significance α. Assume the samples are random and dependent, and the populations are normally distributed.

Claim: μd ≤ 0; α = 0.10. Sample statistics: , sd = 18.19, n = 33

Answer 1

For Paired test :

We need to Use following Test statistic (Refer attached screenshot)

Where we have find Dbar= 3.17.

Please find below screenshot to get test the  

Using Dbar=3.17, sd= 18.19 and n=33 we derive Test statistic for paired T test.

Here we have T test statistic value as 1.01 and Table value is -1.31

Since table value is less than T test Calculated value so we reject Ho,

So we accept H1 i.e.