The McClatchy News Service reported on a sample of prime-time television hours. The following table summarizes the information reported for two networks. Network Mean Number of Violent Acts per Hour ABC 15.6 FOX 11.7 Suppose that each of these sample means was computed on the basis of viewing randomly selected prime-time hours. Suppose we want to compare the true mean number of violent acts per prime-time hour between ABC and FOX. What is the population parameter of interest? What is the notation for the parameter? Give a point estimate for the parameter. Suppose the estimated standard error of the point estimate from its bootstrap distribution is 1.4. Give a 95% confidence interval for the population parameter and interpret the confidence interval. The National Coalition on Television Violence claims that shows on ABC are more violent than on FOX. Based on the confidence interval from part 2), do you agree with this conclusion? Explain.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
- The McClatchy News Service reported on a sample of prime-time television hours. The following table summarizes the information reported for two networks.
|
Network |
Mean Number of Violent Acts per Hour |
|
ABC |
15.6 |
|
FOX |
11.7 |
Suppose that each of these sample means was computed on the basis of viewing randomly selected prime-time hours.
- Suppose we want to compare the true mean number of violent acts per prime-time hour between ABC and FOX. What is the population parameter of interest? What is the notation for the parameter? Give a point estimate for the parameter.
- Suppose the estimated standard error of the point estimate from its bootstrap distribution is 1.4. Give a 95% confidence interval for the population parameter and interpret the confidence interval.
- The National Coalition on Television Violence claims that shows on ABC are more violent than on FOX. Based on the confidence interval from part 2), do you agree with this conclusion? Explain.
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