Researchers examined the influence of a television program on children's aggressiveness. The number of aggressive responses was measured during an observation period after viewing the television program. Imagine that the known national average for number of aggressive responses typically performed by children who do not watch television is 6.847. Use the data below to conduct an analysis to determine if the number of aggressive responses on average is different from the national average. Data 9,4,11,12,14,7,12,10,11,8,14,12,8,12,7,10,10,9,5,12

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Researchers examined the influence of a television program on children's aggressiveness. The number of aggressive responses was measured during an observation period after viewing the television program. Imagine that the known national average for number of aggressive responses typically performed by children who do not watch television is 6.847. Use the data below to conduct an analysis to determine if the number of aggressive responses on average is different from the national average. Data 9,4,11,12,14,7,12,10,11,8,14,12,8,12,7,10,10,9,5,12

1. What is the null and alternative hypotheses in words and symbols?

2.Is the assumption(s) met? Please explain your answer and proceed with the analysis even if the assumption(s) is not met.

3.What do you conclude from your analysis?

4.Based on your response in “c” above, identify and explain the type of error you could be making.

 

I have asked this question twice and get different answers for question 2 ? which one is right 

 

In this case, the population standard deviation is not given and the sample size is less than 30. One must use one sample t test.

 

In this case, the sample is taken from the all children who watch television. That is, the population for such a large number of children, who watch television, must be normally distributed. Moreover, the observations are taken randomly and independently. There is no outlier present in the data set. Hence, the assumptions of one sample t test met.

 

2) Assumption of the  hypothesis test are 

1) The samples are taken from the random sampling.

2) The samples observation are idependent to each other. 

3) Either the population distribution is normal or the sample size is greater than 30.

 

Here the the sample are not taken from the random sampling. 

Also the distribution of the influence of a television program on children's aggressiveness program is not normally distributed and the sample size is less than 30.

 The assumption of testing hypothesis are not satisfied.

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