statistics help

Question

The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.45 days. Is this average different for blind dates? A researcher interviewed 40 couples who had recently been on blind dates and found that they averaged 2.8 days to communicate with each other after the date was over. Their standard deviation was 0.795 days. What can be concluded at the αα = 0.01 level of significance?

a.) use t score or z score?

b.) null and alternative hypothesis

c.)test statistic=

d.)p value=

Answer 1

H₀: population average amount of time = 2.45

H₁: population average amount of time ≠ 2.45

Test statistic = (2.8-2.45)/(0.795/√40) = 2.784

p-value = 2(0.003) = 0.006