One study revealed that a child under the age of 10 watches television 4.5 hours per day. A group of families from a certain community would like to believe that their children watch television less than the national average. A random sample of 14 children from the community yielded a mean of 4.1 hours per day with standard deviation of 1.2. Test the appropriate hypothesis at the level of significance 0.01. Assume the viewing time is normally distributed and interpret your results. Let mu be the average time a child under the age 10 watches television. Group of answer choices: A. H0: mu = 4.5, Ha: mu is not equal to 4.5 Since the observed value of test statistics in absolute value is 4.67 which is greater than 3.01, the sample data do not support that these children watch less television than the national average.   B. H0: mu = 4.5, Ha: mu is not equal to 4.5 Since the observed value of test statistics in absolute value is 1.25 which is less than 3.01, the sample data do not support that these children watch less television than the national average.   C. H0: mu = 4.5, Ha: mu < 4.5 Since the observed value of test statistics is -1.25 which is greater than -2.65, the sample data do not support that these children watch less television than the national average. D. H0: mu = 4.5, Ha: mu < 4.5 Since the observed value of test statistics is -4.67 which is less than -2.65, the sample data support that these children watch less television than the national average.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

One study revealed that a child under the age of 10 watches television 4.5 hours per day. A group of families from a certain community would like to believe that their children watch television less than the national average. A random sample of 14 children from the community yielded a mean of 4.1 hours per day with standard deviation of 1.2. Test the appropriate hypothesis at the level of significance 0.01. Assume the viewing time is normally distributed and interpret your results.

Let mu be the average time a child under the age 10 watches television.

Group of answer choices:

A. H0: mu = 4.5, Ha: mu is not equal to 4.5

Since the observed value of test statistics in absolute value is 4.67 which is greater than 3.01, the sample data do not support that these children watch less television than the national average.

 

B. H0: mu = 4.5, Ha: mu is not equal to 4.5

Since the observed value of test statistics in absolute value is 1.25 which is less than 3.01, the sample data do not support that these children watch less television than the national average.

 

C. H0: mu = 4.5, Ha: mu < 4.5

Since the observed value of test statistics is -1.25 which is greater than -2.65, the sample data do not support that these children watch less television than the national average.

D. H0: mu = 4.5, Ha: mu < 4.5

Since the observed value of test statistics is -4.67 which is less than -2.65, the sample data support that these children watch less television than the national average.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON