Responses (100+ words x2): Choose two of your classmates’ posts. Collect your own data and find your own confidence interval and compare. If, for example, your point estimate is less than your classmate’s point estimate, can you be sure or confident that the corresponding parameter is less? Why or why not, and what could you do to try to figure it out? What impact do the bounds of the intervals have?
1st classmate to respond to:
I feel that the mean length of sleep of adults per day is around 4.5-5.5 hours. In order to check if this claim is valid, I gathered data from asking relatives, friends, and colleagues. The data are as follows:
5, 4.5, 4, 6, 6.5, 8, 7, 4.5, 4, 4, 5.25, 8, 7.5, 7.25, 6, 5.5, 3.75, 4, 8.5, 8,25
The sample mean is 5.88 and the sample standard deviation is 1.65. The 95% confidence interval is (5.10, 6.65). However, the sample was not randomly chosen. Furthermore, the values are estimates as they were just asked without them actually getting the mean length of their sleep.
2nd classmate to respond to:
Working in an elementary school, I took to what I know. I feel the average daily time that is spent working on school work/assignments outside of “working hours” is around 2.5-4 hours. I asked 20 teachers and the data is as follows:
Mean is: 2.475
Population Standard deviation is 0.95 and Population standard variance is 0.911
95% confidence interval falls between 2.05865 and 2.89135