Question

Asked Nov 17, 2019

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Following is a sample of 5 mathched pairs.

Sample 1 19 15 16 23 24

Sample 2 18 19 10 14 17

let u1 and u2 represent the population means and let ud=u1-u2. A test will be made of the hypothesis Ho: ud=0 versus H1:Ud greater 0.

a. Compute the differences.

b. Compute the test statistic

c. Can you reject H0 at the a= 0.05 level of significance?

d. Can you reject H0 at the a=0.01 level of significance?

Step 1

**(a)**

The differences is,

Step 2

**(b)**

Step-by-step procedure to obtain the *p*-value and test statistic using MINITAB software:

- Choose
**Stat > Basic Statistics > Paired**.*t* - Choose
**Samples in different columns**. - In sample 1, enter the column of
**Sample 1**. - In sample 2, enter the column of
**Sample 2**. - Choose
**Options**. - In
**Confidence level**, enter**95**. - In
**Hypothesized difference**, enter 0. - In
**Alternative**, select**greater than**. - Click
**OK**in all the dialogue boxes.

The output obtained using MINITAB software is given below:

Step 3

Thus, the test statistic is 1.61.

**(c)**

*Rejectio...*

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