Question
For this activity, you will be creating a confidence interval for the average amount time Americans spend using screens. First, we need some data. You
For this activity, you will be creating a confidence interval for the average amount time Americans spend using screens. First, we need some data. You will be asking the question, "How screen time do you have in a typical week?" You will need at least 20 pieces of data.
Data: screen time in hours
Maverick=8
John= 4
Ariel=7
Elaine=3
Jerry=4
Caleb=6
Ben=9
Jackson=4
Thai=7
Justin=12
Connor=11
Tyler=13
Lily=10
Kenzie=11
Jaden=10
Tammy=7
Reggie=7
Gracey=8
Mike=6
Rick=7
- What function did you use on StatCrunch, Excel, or a TI-83/84 calculator to create the confidence interval?
- Why did you choose this particular function (that is, why did you select a t-distribution or a z-distribution function)?
- Using a 95% confidence level, what is the confidence interval?
- What is the point estimate for the population mean? (Please include units!)
- What is the margin of error? (Please include units!)
- Suppose you knew the population standard deviation for Americans' screen time to be 4 hours. If you wanted your results to be within a margin of error of 0.25 hours, how many people would you have to survey? (continue to use a 95% confidence level)
- Discuss "two" ways your data could be biased, hence skewing your results.
Include a list of the data that you used as well as an explanation of how you arrived at the answers. For example, please include what calculator functions or computations you are using to arrive at the confidence interval.
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