Asked by Kayla Valdes on Jul 05, 2024
Verified
In order to determine how many hours per week freshmen college students watch television, a random sample of 256 students was selected.It was determined that the students in the sample spent an average of 14 hours with a standard deviation of 3.6 hours watching TV per week.
a.
Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week.
b.
Assume that a sample of 66 students was selected that resulted in the same mean and standard deviation.Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week.
Standard Deviation
A statistic that quantifies the dispersion or variability of a set of data points around the mean.
Confidence Interval
An estimate expressed as an interval of values used to estimate a population parameter, indicating the reliability of the estimate.
- Understand and apply the concepts of confidence intervals to estimate population parameters.
- Outline confidence intervals for the anticipation of population means, without consideration of the state of knowledge concerning population standard deviations.
- Differentiate between the effects of sample size and confidence level on the width of a confidence interval.
Verified Answer
JK
Learning Objectives
- Understand and apply the concepts of confidence intervals to estimate population parameters.
- Outline confidence intervals for the anticipation of population means, without consideration of the state of knowledge concerning population standard deviations.
- Differentiate between the effects of sample size and confidence level on the width of a confidence interval.