Question

Joyce is trying to convince her husband that, on average, she spends more money at the grocery store when she takes their children with her to shop, in hopes that she can make the trips alone in the future. She shows him that on 4 randomly selected trips with the children she spent a mean of $122.56 with a standard deviation of $13.12. But, on 5 trips without the children, she only spent a mean of $108.31 with a standard deviation of $17.06. Assume that the population variances are different. Calculate the P-Value rounding to four decimal places. At the 0.10 level, can Joyce convince her husband that it's cheaper, on average, to not take her children with her to the grocery store?

Answer 1