Question

during a market research study, a random sample of subjects was asked to fill out a survey, and it was found that on average, they took 13.5 minutes to complete the survey, with a standard deviation of 6 minutes. does this average survey completion time of 13.5 minutes differ significantly from the expected average completion time of 12 minutes for the target population, at a 0.05 significance level?

Answer 1

To determine if the average survey completion time of 13.5 minutes differs significantly from the expected average completion time of 12 minutes for the target population, we can conduct a hypothesis test. The null hypothesis assumes there is no significant difference, while the alternative hypothesis assumes there is a significant difference.

Step-by-step explanation:

To determine if the average survey completion time of 13.5 minutes differs significantly from the expected average completion time of 12 minutes for the target population, we can conduct a hypothesis test.

The null hypothesis (H0) assumes that there is no significant difference between the sample mean and the population mean: μ = 12.

The alternative hypothesis (Ha) assumes that there is a significant difference between the sample mean and the population mean: μ ≠ 12.

We can use a t-test to determine the significance of the difference between the sample mean and the population mean. By comparing the calculated t-value to the critical t-value at a significance level of 0.05, we can make a decision.