# 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 fromPairPopulation 1Population 2140322302933436422185353162626726258272591115103531

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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
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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:

Step 3

Test statistic:...

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