Question

A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow.

Student	Math	Writing
1	540	474
2	432	380
3	528	463
4	574	612
5	448	420
6	502	526
7	480	430
8	499	459
9	610	615
10	572	541
11	390	335
12	593	613

Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score − writing score.)

Calculate the test statistic. (Round your answer to three decimal places.)

______________.

Calculate the p-value. (Round your answer to four decimal places.)

p-value =____________.

What is the point estimate of the difference between the mean scores for the two tests? (Use math score − writing score.)

____________.

What are the estimates of the population mean scores for the two tests?

Math______.

Writing______.

Answer 1

Answer:-

Form the above information

We perform two sample t test by using minitab

To test

From the above output

The test statistic , T-value = 0.750

The P-value = 0.463

The point estimate of the difference between the mean scores for the two tests is 25.0

We know that, sample mean is an unbiased estimator of population mean , therefore

The estimates of the population mean scores for Math is 514.0

The estimates of the population mean scores for writing is 489.0

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you are satisfied by my given answer. Can you please like it☺
  
Thank You!!!