Before the furniture store began its ad campaign, it averaged 242 customers per day. The manager is investigating if the average is larger since the ad came out. The data for the 12 randomly selected days since the ad campaign began is shown below:  246, 261, 265, 253, 238, 267, 225, 272, 254, 259, 228, 255 Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance? For this study, we should use     The null and alternative hypotheses would be:       H0:H0:                   H1:H1:               The test statistic     =  (please show your answer to 3 decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Before the furniture store began its ad campaign, it averaged 242 customers per day. The manager is investigating if the average is larger since the ad came out. The data for the 12 randomly selected days since the ad campaign began is shown below: 

246, 261, 265, 253, 238, 267, 225, 272, 254, 259, 228, 255

Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance?

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:     

 H0:H0:                 

 H1:H1:              

  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is     αα
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest that the population mean number of customers since the ad campaign began is not significantly more than 242 at αα = 0.05, so there is insufficient evidence to conclude that the population mean number of customers since the ad campaign began is more than 242.
    • The data suggest the population mean is not significantly more than 242 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is equal to 242.
    • The data suggest the populaton mean is significantly more than 242 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is more than 242.
  6. Interpret the p-value in the context of the study.
    • If the population mean number of customers since the ad campaign began is 242 and if you collect data for another 12 days since the ad campaign began then there would be a 2.13815226% chance that the sample mean for these 12 days would be greater than 251.9.
    •  There is a 2.13815226% chance of a Type I error.
    • If the population mean number of customers since the ad campaign began is 242 and if you collect data for another 12 days since the ad campaign began then there would be a 2.13815226% chance that the population mean number of customers since the ad campaign began would be greater than 242.
    • There is a 2.13815226% chance that the population mean number of customers since the ad campaign began is greater than 242.
  7. Interpret the level of significance in the context of the study.
    • If the population mean number of customers since the ad campaign began is more than 242 and if you collect data for another 12 days since the ad campaign began, then there would be a 5% chance that we would end up falsely concuding that the population mean number of customers since the ad campaign is equal to 242.
    • There is a 5% chance that there will be no customers since everyone shops online nowadays.
    • There is a 5% chance that the population mean number of customers since the ad campaign began is more than 242.
    • If the population mean number of customers since the ad campaign began is 242 and if you collect data for another 12 days since the ad campaign began, then there would be a 5% chance that we would end up falsely concuding that the population mean number of customers since the ad campaign began is more than 242.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman