Answer:
No, because the population mean, μ, is not included within the confidence interval estimate.
Explanation:
A (1 - α)% confidence interval for a population parameter can be used make inferences about a statistic test of the parameter.
Decision rule:
If the null value of the population parameter is included in the interval then the null hypothesis will not be rejected. And vice-versa.
In this case, a market researcher wants to determine whether the population mean time customers spent on that website is 13 minutes a day or not.
The hypothesis can be defined as follows:
H₀: The population mean time customers spent on that website is 13 minutes a day, i.e. μ = 13.
Hₐ: The population mean time customers spent on that website is different from 13 minutes a day, i.e. μ ≠ 13.
The 95% confidence interval that the mean time customers spent on that website per day is, (15, 50).
The 95% confidence interval for the population mean time does no consist of the null value. Thus, the null hypothesis will be rejected.
It can be concluded that the population mean time customers spent on that website is not 13 minutes. Since the 95% confidence interval consist of values more than 13 minutes, it can be said that the mean time customers spent on that website is more than 13 minutes.
Thus, the answer is:
No, because the population mean, μ, is not included within the confidence interval estimate.