Asked Jan 27, 2020

In Exercises, the null hypothesis is H0:µ1 = µ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance level.

Ha: µ1 >µ2

  Observation from
Pair Population 1 Population 2
1 40 32
2 30 29
3 34 36
4 22 18
5 35 31
6 26 26
7 26 25
8 27 25
9 11 15
10 35 31

Expert Answer

Step 1

In this context, the aim is to test whether there is any significant difference in the population means by using the hypothesis H0:µ1 = µ2 against Ha:µ1 > µ2.

The test hypotheses are,

Null hypothesis: H0:µ1 = µ2

Alternative hypothesis: Ha:µ1 > µ2

The level of significance is α=0.10.

Step 2

The difference di=X1–X2  for each sample is obtained as follows:

Statistics homework question answer, step 2, image 1
Step 3

Test statistic:...

Statistics homework question answer, step 3, image 1

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