The comparison population is represented by the national statistics from 2009 with a population mean of 13.50 minutes of commercials during a one-hour program. The population standard deviation is not provided so it needs to be estimated from the sample. The population mean is estimated with the sample mean. Use the sample data below to calculate the sample mean (estimated population mean) and the estimated population standard deviation. TV Network 1 2 3 4 5 6 7 8 9 Commercial time per hour 13 13.5 15 14.25 14.5 14.25 13.25 16 16.75

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
icon
Related questions
Question
Use the provided information to calculate the t statistic and critical t values.
The comparison population is represented by the national statistics from 2009 with a population mean of 13.50
minutes of commercials during a one-hour program. The population standard deviation is not provided so it needs
to be estimated from the sample. The population mean is estimated with the sample mean. Use the sample data
below to calculate the sample mean (estimated population mean) and the estimated population standard deviation.
TV Network
1
2
3
4
5
6
7
8
9
Commercial
time per hour
13
13.5
15
14.25
14.5
14.25
13.25
16
16.75
Transcribed Image Text:The comparison population is represented by the national statistics from 2009 with a population mean of 13.50 minutes of commercials during a one-hour program. The population standard deviation is not provided so it needs to be estimated from the sample. The population mean is estimated with the sample mean. Use the sample data below to calculate the sample mean (estimated population mean) and the estimated population standard deviation. TV Network 1 2 3 4 5 6 7 8 9 Commercial time per hour 13 13.5 15 14.25 14.5 14.25 13.25 16 16.75
According to the national statistics from 2009, the broadcast networks in American
averaged 13.50 minutes of commercials during a one-hour program. I was curious
whether the commercial time is significantly different now (2018) compared to 2009.
So I measured the commercial time during a one-hour period during prime time on 9
different networks and recorded the number of minutes. I assume that the
commercial time across all the broadcast networks in America is normally
distributed and I set the significance level at a = .05.
Transcribed Image Text:According to the national statistics from 2009, the broadcast networks in American averaged 13.50 minutes of commercials during a one-hour program. I was curious whether the commercial time is significantly different now (2018) compared to 2009. So I measured the commercial time during a one-hour period during prime time on 9 different networks and recorded the number of minutes. I assume that the commercial time across all the broadcast networks in America is normally distributed and I set the significance level at a = .05.
Expert Solution
Step 1
TV Network Commercial time per hour (x-average) (x-average)2
1 13 -1.5 2.25
2 13.5 -1 1
3 15 0.5 0.25
4 14.25 -0.25 0.0625
5 14.5 0 0
6 14.25 -0.25 0.0625
7 13.25 -1.25 1.5625
8 16 1.5 2.25
9 16.75 2.25 5.0625
Sum 130.5   12.5
average 14.5    

x = 1ni=1nxi    =130.59x = 14.5

S2 = 1n-1i=1n(xi - x)2    =19-1*12.5    = 18*12.5S2 =1.5625S =1.25

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL