Question

From a sample of 30 students, the mean number of time streaming Netflix, Prime and Crave etc. per week is 15.5 hours with a standard deviation 6.5 hours.

What is the 80% confidence interval for the true population mean streaming time for all students?
Multiple Choice
a. 13.9 to 17.1
b. 13.5 to 17.5
c. 13.1 to 17.9
d. 12.2 to 18.8

Answer 1

To find the 80% confidence interval for the true population mean streaming time for all students, we can use the formula: Confidence Interval = mean ± (z * (standard deviation / sqrt(n)))

Step-by-step explanation:

To find the 80% confidence interval for the true population mean streaming time for all students, we can use the formula:

Confidence Interval = mean ± (z * (standard deviation / sqrt(n)))

Here, the mean is 15.5 hours, the standard deviation is 6.5 hours, and the sample size is 30. The z-value for an 80% confidence level is approximately 1.28.

Substituting these values into the formula gives us:

Confidence Interval = 15.5 ± (1.28 * (6.5 / sqrt(30)))

Calculating this gives us a confidence interval of approximately 13.9 to 17.1 hours.