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 90% 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

The 90% confidence interval for the true population mean streaming time for all students is (14.307, 16.693).

Step-by-step explanation:

To compute the 90% confidence interval for the true population mean streaming time for all students, we will use the formula:

CI = X ± Z * (σ/√n)

Where:

• X is the sample mean (15.5 hours)
• Z is the z-score corresponding to the desired confidence level (90% confidence level = 1.645)
• σ is the population standard deviation (6.5 hours)
• n is the sample size (30 students)

Plugging in the values, we get:

CI = 15.5 ± 1.645 * (6.5/√30) = 15.5 ± 1.193 = (14.307, 16.693)

Therefore, the 90% confidence interval for the true population mean streaming time for all students is (14.307, 16.693).