Question

In: Statistics and Probability

A market analyst wants to know if the new website he designed is showing increased page...

A market analyst wants to know if the new website he designed is showing increased page views per visit. A customer is randomly sent to one of two different​ websites, offering the same​ products, but with different designs. The accompanying table shows the data from five randomly chosen customers from each website. Assume that the data come from a distribution that is Normally distributed. Complete parts a through c below.

Website 1 Website 2
11 8
6 12
14 4
5 5
3 7

) Find a 95​% confidence interval for the mean​ difference,muμ1minus−muμ2​,in page views from the two websites.eft parenthesis nothing comma nothing right parenthesis,

​(Round to two decimal places as​ needed.)

​b) Is 0 within the confidence​ interval?

No

YesYes

​c) What does the confidence interval suggest about the null hypothesis that the mean difference is​ 0?

A.

Fail to rejectFail to reject

Upper H 0H0

since 0

is notis not

a plausible value for the true mean difference.

B.

RejectReject

Upper H 0H0

since 0

isis

a plausible value for the true mean difference.

C.

RejectReject

Upper H 0H0

since 0

is notis not

a plausible value for the true mean difference.

D.

Fail to rejectFail to reject

Upper H 0H0

since 0

isis

a plausible value for the true mean difference.

Solutions

Expert Solution

Solution: Here concept of confidence interval for difference in population means is used.


Related Solutions

A market analyst wants to know if the new website he designed is showing increased page...
A market analyst wants to know if the new website he designed is showing increased page views per visit. A customer is randomly sent to one of two different​ websites, offering the same​ products, but with different designs. Assume that the data come from a distribution that is Normally distributed. The data is shown in the table to the right. Complete parts a through c below. Website 1 Website 2 n 80 95 ybar 6.5 6.3 s 4.9 5.4 Calculate...
A market analyst wants to know if the new website (Website A) he designed is showing...
A market analyst wants to know if the new website (Website A) he designed is showing increased page view per visit than his original website (Website B). A customer is randomly sent to one of the two different websites, offering the same products. Here are the summary statistics for the page views for each website. Website 1 Wesite 2 12 8 4 12 14 3 10 4 2 5 a. State/check the conditions for the appropriate hypothesis test. Be sure...
A business analyst wants to know if a new website design compared to an old website...
A business analyst wants to know if a new website design compared to an old website design is showing increased page views per visit. Two different samples of customers are randomly sent to one of two different websites, offering the same products, but with different designs. Use data from "website" sheet in excel. Is there a difference in average page views between the new and old website design? Which is the correct statistical test? Free-samples tea test One-sample t-test Independent-samples...
An Analyst wants to know if there was a significance difference in the average of hours...
An Analyst wants to know if there was a significance difference in the average of hours worked in a week from 2000 (Group 1) to 2004 (Group 2). He gathers all the data from the General Social Survey, and lists the following summary statistics from the sampling. Year 2000 2004 Mean 27.34 48.12 Std. Dev 10.11 19.23 Unweighted n 43 54 Source: General Social Survey (sda.berkeley.edu ) What is the correct null hypothesis? Ho: mu2004-mu2000 < 0 Ho: mu2004-mu2000 does...
A psychologist is testing a new drug for its painkilling effects. He wants to know if...
A psychologist is testing a new drug for its painkilling effects. He wants to know if this drug will reduce the amount of pain experienced. He randomly selects 5 people who regularly experience pain. He has each person rate their pain level. Then, the subjects take the new pain medication and rate their pain levels 1 hour later. Their data is as follows: Subject Before medication After medication 100 10 4 101 8 1 102 9 2 103 7 12...
A bank wants to know if the enrollment on their website is above 30%. They test...
A bank wants to know if the enrollment on their website is above 30%. They test the null hypothesis that the proportion is 0.3, and the alternative that the proportion is greater than 0.3. After obtaining a sample, they fail to reject the null hypothesis. Later they find out that 30% of all customers enrolled. Answer whether there was a Type I error, Type II error, or neither error was made. Group of answer choices Type I error Type II...
1) A business analyst wants to know if there is a correlation in a sales person’s...
1) A business analyst wants to know if there is a correlation in a sales person’s intelligence and the average weekly sales. The Excel spreadsheet list the data for a random selection of 15 sales persons. The intelligence is measured by an inventory each employee takes. a)Create the scatterplot on your Excel Spreadsheet. Does it appear to be a positive linear correlation? Why or why not? b)Fill out the necessary cells in the spreadsheet to calculate the correlation coefficient ?....
Prem Narayan, a graduate student in engineering, to market a radical new speaker he had designed...
Prem Narayan, a graduate student in engineering, to market a radical new speaker he had designed for automobile sound systems, founded Acoustic Concepts, Inc. Prem established the company’s headquarters into rented quarters in a nearby industrial park. He hired a receptionist, an accountant, a sales manager, and a small sales staff to sell the speakers to retail stores. Prem asked his accountant, Bob Luchinni, to prepare several cost-volume-profit analyses, using the information shown below. Sales price for one speaker set......................................................
Prem Narayan, a graduate student in engineering, to market a radical new speaker he had designed...
Prem Narayan, a graduate student in engineering, to market a radical new speaker he had designed for automobile sound systems, founded Acoustic Concepts, Inc. Prem established the company’s headquarters into rented quarters in a nearby industrial park. He hired a receptionist, an accountant, a sales manager, and a small sales staff to sell the speakers to retail stores. Prem asked his accountant, Bob Luchinni, to prepare several cost-volume-profit analyses, using the information shown below. Sales price for one speaker set......................................................
A movie website wants to know which movie was the best among the three parts of...
A movie website wants to know which movie was the best among the three parts of The Lord of The Rings and surveyed a simple random sample of 40 adults. The results are presented according to 1 = first part, 2 = second part, and 3 =third part. 2 2 3 1 1 3 3 2 3 1 1 3 3 2 2 3 1 3 3 1 2 2 1 3 1 3 3 2 1 1 2 3...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT