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A random sample of six salespersons that attended a motivational course on sales

ID: 3237466 • Letter: A

Question

A random sample of six salespersons that attended a motivational course on sales technique was monitored three months before and three months after the course. The table shows the values of sales (in thousands of dollars) generated by these six salesperson in the two periods.

Assume that the population distributions are normal. Find a 90% confidence interval for the difference between the two population means.

Salesperson

Before the Course

After the Course

    1

        205

        237

    2  

        280

        287

   3

        205

        197

   4

        333    

       348

   5

       155

       183

  6

       202

      191

What is the confidence interval estimate of the mean difference (µ after - µ before)?

O µ O

(two answers)

Salesperson

Before the Course

After the Course

    1

        205

        237

    2  

        280

        287

   3

        205

        197

   4

        333    

       348

   5

       155

       183

  6

       202

      191

Explanation / Answer

The statistical software output for this problem is:

Paired T confidence interval:
D = 1 - 2 : Mean of the difference between After the Course and Before the Course
90% confidence interval results:

Hence,

90% confidence interval will be:

(-4.24, 25.24)

Difference Mean Std. Err. DF L. Limit U. Limit After the Course - Before the Course 10.5 7.3155086 5 -4.2411032 25.241103
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