A student wants to compare textbook prices for two online bookstores. She takes a random sample of five textbook titles from a list provided by her college bookstore, and then she determines the prices of those textbooks at each of the two websites. The prices of the five textbooks selected are listed below in the same order for each online bookstore. com: $115, $43, $99, $80, $119 com: $110, $40, $99, $69, $109 Are these independent or dependent samples? Dependent. Different textbooks are being compared. Dependent. The same textbooks are being compared. Independent. Different textbooks are being compared. Independent. The same textbooks are being compared. To construct a confidence interval, the data must be checked for outliers. (Is it reasonable to assume that the data came from a normal population?) Which variable should be checked? the prices of textbooks from B.com the difference between the average textbook price for A.com and the average textbook price for B.com the difference between the textbook price from A.com and the textbook price from B.com for each textbook, the prices of textbooks from A.com Find a 96% confidence interval for the mean difference in textbook prices at the two online bookstores. (Use d = A.com - B.com.) (Use 3 decimal places)

Respuesta :

A 96% confidence interval for the mean difference in textbook prices at the two online bookstores is (3.22,8.38).

What is a confidence interval?

An estimated range for an unknown parameter is known as a confidence interval. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.

Here, we have

The mean and standard deviation are M = 5.8 and s = 4.658

To calculate the estimated standard error, we apply

S = [tex]\sqrt{s^2/n}[/tex]

 =[tex]\sqrt{4.658^2/5}[/tex]

= 2.08

The 96% confidence interval is :

CI = x ±t₉₆s/√n

= 5.8 ±2.7764× 2.08/√5

= 5.8±2.58

= (3.22,8.38)

Hence, a 96% confidence interval for the mean difference in textbook prices at the two online bookstores is (3.22,8.38).

To learn more about the confidence interval from the given link

https://brainly.com/question/20309162

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