Question

Aprobion with a phone line that prevents a customer from receiving or making calls uptening to both the customer and the tele
b. Find the p-value in (a) p-value = (Round to four decimal places as needed.) c. What other assumption is necessary in (a)?
The following is a sample of 20 problems reported to the first office and the time (in minutes) to clear those problems. 1.74
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Answer #1

This problem is solved by using R

Two sample t test output :

R RGui (32-bit) - [R Console] R File Edit View Misc Packages Windows Help Q@STO > x1=C(1.74,1.76,0.93,2.62,0.57,1.79,4.23,3.8

Summary :

a. The null and alternative hypothesis will be

Ho : \mu1 - \mu2 = 0

H1 : \mu1 - \mu2 \neq 0  

Test statistic (t) = 0.4057

Degree of freedom = n1 + n2 - 2 = 38

Critical value = -2.0244 , 2.0244

Conclusion : Do not reject H0 .There is insufficient evidence that the means differ.

b. p- value = 0.6872

c.the following assumptions is necessary for a)

Answer :D. Since the sample sizes are both less than 30, it must be assumed that both sampled populations are approximately normal.

d. 95 % confidence interval for population mean difference is given ( -0.91 , 1.36)

now, interpretation of confidence interval

Answer : C. You can conclude with 95% confidence that the difference between the population mean wait times of the two offices falls inside this interval.

Thank You!

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