...A sample of 100 teenagers? Internet Usage Problem: Suppose that the amount of time teenagers spend on the internet is normally distributed with a standard deviation of 1.5 hours. A sample of 100 teenagers is selected at random, and the sample mean is computed as 6.5 hours.
a) Determine a 95% confidence interval estimate of the population mean. Show appropriate work.
b) Interpret the meaning of the confidence interval for someone that doesn’t understand statistics.
c) How would your original confidence interval change if you found out that the population standard deviation was actually smaller than 1.5 hours? Explain.
d) How would your original confidence interval change if you found out that you misread the sample size and it was 1000 rather than 100? Explain.
e) Calculate the new confidence interval based on the change in part d.
f) How would your original confidence interval change if you found out you were supposed to create a 90% confidence interval rather than 95%? Explain.
g) Calculate the new confidence interval based on the change in part f.
a) Determine a 95% confidence interval estimate of the population mean. Show appropriate work.
b) Interpret the meaning of the confidence interval for someone that doesn’t understand statistics.
c) How would your original confidence interval change if you found out that the population standard deviation was actually smaller than 1.5 hours? Explain.
d) How would your original confidence interval change if you found out that you misread the sample size and it was 1000 rather than 100? Explain.
e) Calculate the new confidence interval based on the change in part d.
f) How would your original confidence interval change if you found out you were supposed to create a 90% confidence interval rather than 95%? Explain.
g) Calculate the new confidence interval based on the change in part f.