Question

The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.25 days. Is this average different for blind dates? A researcher interviewed 41 couples who had recently been on blind dates and found that they averaged 2.6 days to communicate with each other after the date was over. Their standard deviation was 0.695 days. What can be concluded at the the αα = 0.05 level of significance?

Answer 1

Sample size = n = 41

Sample mean = = 2.6

Population standard deviation = = 0.695

Claim: The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.25 days.

The null and alternative hypothesis is

Level of significance = 0.05

Here population standard deviation is known so we have to use z-test statistic.

Test statistic is

Critical value = 1.96    ( Using z table)

Critical value < Test statistic z we reject the null hypothesis.

Conclusion:

The average amount of time it takes for couples to further communicate with each other after their first date has ended is different from 2.25 days.