Homework Help is Here – Start Your Trial Now!
Business
Operations Management
A company is researching the effectiveness of a new website design to decrease the time to access a website. 32 website users were randomly selected, and their time (in seconds) to access the website with the old and new designs were recorded. The summary statistics for the two sets of data are given in Table Q3-1, and the test results are given in Table Q3-2 and Q3-3. Apply an appropriate hypothesis testing method to test whether the new website design can decrease the time to access the website at the significance level of 5%.

A company is researching the effectiveness of a new website design to decrease the time to access a website. 32 website users were randomly selected, and their time (in seconds) to access the website with the old and new designs were recorded. The summary statistics for the two sets of data are given in Table Q3-1, and the test results are given in Table Q3-2 and Q3-3. Apply an appropriate hypothesis testing method to test whether the new website design can decrease the time to access the website at the significance level of 5%.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
See similar textbooks
icon
Related questions
Question

A company is researching the effectiveness of a new website design to decrease the time to access a website. 32 website users were randomly selected, and their time (in seconds) to access the website with the old and new designs were recorded. The summary statistics for the two sets of data are given in Table Q3-1, and the test results are given in Table Q3-2 and Q3-3.

Apply an appropriate hypothesis testing method to test whether the new website design can decrease the time to access the website at the significance level of 5%.

old Website New Website Design Design Мean 32.25 25.69 Standard Error 0.82 1.05 Median 31.50 26.50 Mode 30.00 30.00 Standard Deviation 4.64 5.93 Sample Variance 21.55 35.19 Kurtosis 0.42 -0.18 Skewness 0.55 0.04 Range 20.00 24.00 Minimum 25.00 15.00 Maximum 45.00 39.00 Sum 1032.00 822.00 Count 32.00 32.00 Confidence Level(95.0%) 1.67 2.14 Table Q3-1: Descriptive Statistics
Transcribed Image Text:old Website New Website Design Design Мean 32.25 25.69 Standard Error 0.82 1.05 Median 31.50 26.50 Mode 30.00 30.00 Standard Deviation 4.64 5.93 Sample Variance 21.55 35.19 Kurtosis 0.42 -0.18 Skewness 0.55 0.04 Range 20.00 24.00 Minimum 25.00 15.00 Maximum 45.00 39.00 Sum 1032.00 822.00 Count 32.00 32.00 Confidence Level(95.0%) 1.67 2.14 Table Q3-1: Descriptive Statistics
Old Website New Website Design Design Mean 32.25 25.69 Variance 21.55 35.19 Observations 32.00 32.00 Pearson Correlation 0.13 Hypothesized Mean Difference 0.00 df 31.00 t Stat 5.27 P(T<=t) one-tail 4.94E-06 t Critical one-tail 1.70 P(T<-t) two-tail 9.88E-0G t Critical two-tail 2.04 Table Q3-2: t-Test: Paired Two Sample for Means Old Website New Website Design Design Mean 32.25 25.69 Variance 21.55 35.19 Observations 32.00 32.00 rooled Varionce 28.37 Hypothesized Mean Difference 0.00 df 62.00 t Stat 4.93 P(T<=t) one-tail 3.24942E-06 t Critical one-tail 1.67 P(T<=t) two-tail t Critical two-tail 6.49883E-06 2.00 Table 3-3: t-Test: Two-Sample Assuming Equal Variances
Transcribed Image Text:Old Website New Website Design Design Mean 32.25 25.69 Variance 21.55 35.19 Observations 32.00 32.00 Pearson Correlation 0.13 Hypothesized Mean Difference 0.00 df 31.00 t Stat 5.27 P(T<=t) one-tail 4.94E-06 t Critical one-tail 1.70 P(T<-t) two-tail 9.88E-0G t Critical two-tail 2.04 Table Q3-2: t-Test: Paired Two Sample for Means Old Website New Website Design Design Mean 32.25 25.69 Variance 21.55 35.19 Observations 32.00 32.00 rooled Varionce 28.37 Hypothesized Mean Difference 0.00 df 62.00 t Stat 4.93 P(T<=t) one-tail 3.24942E-06 t Critical one-tail 1.67 P(T<=t) two-tail t Critical two-tail 6.49883E-06 2.00 Table 3-3: t-Test: Two-Sample Assuming Equal Variances
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.
SEE MORE TEXTBOOKS