Compute the P-value for Scarlett's hypothesis test directly using a normalcdf function on a TI calculator or by using software. You may find some software manuals helpful. Provide your answer with precision to four decimal places. Avo rounding until the final step.

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
icon
Concept explainers
Topic Video
Question
Assume a media agency reports that it takes television streaming service subscribers in the U.S. an average of 6.14 days to
watch the entire first season of a television series, with a standard deviation of 4.03 days. Scarlett is an analyst for an online
television and movie streaming service company that targets to the 18-50 age bracket. She wants to determine if her
company's customers exhibit shorter viewing rates for their series offerings. Scarlett plans to conduct a one-sample z-test,
with significance level of a = 0.05, to test the null hypothesis, Ho: u = 6.14 days, against the alternative hypothesis,
Hj: µ < 6.14 days. The variable u is the mean amount of time, in days, that it takes for customers to watch the first season
of a television series.
Scarlett selects a simple random sample of 825 customers who watched the first season of a television series from the
company database of over 25,000 customers that qualified. She compiles the summary statistics shown in the table.
Sample
Sample
Standard
size
mean
error
n
SE
825
5.84
0.1403
Compute the P-value for Scarlett's hypothesis test directly using a normalcdf function on a TI calculator or by using
software. You may find some software manuals helpful. Provide your answer with precision to four decimal places. Avoid
rounding until the final step.
Transcribed Image Text:Assume a media agency reports that it takes television streaming service subscribers in the U.S. an average of 6.14 days to watch the entire first season of a television series, with a standard deviation of 4.03 days. Scarlett is an analyst for an online television and movie streaming service company that targets to the 18-50 age bracket. She wants to determine if her company's customers exhibit shorter viewing rates for their series offerings. Scarlett plans to conduct a one-sample z-test, with significance level of a = 0.05, to test the null hypothesis, Ho: u = 6.14 days, against the alternative hypothesis, Hj: µ < 6.14 days. The variable u is the mean amount of time, in days, that it takes for customers to watch the first season of a television series. Scarlett selects a simple random sample of 825 customers who watched the first season of a television series from the company database of over 25,000 customers that qualified. She compiles the summary statistics shown in the table. Sample Sample Standard size mean error n SE 825 5.84 0.1403 Compute the P-value for Scarlett's hypothesis test directly using a normalcdf function on a TI calculator or by using software. You may find some software manuals helpful. Provide your answer with precision to four decimal places. Avoid rounding until the final step.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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