A bookstore at a large college claims that the mean amount of money each student spends on books each semester is $252.92 with a standard deviation of $58.21. On the study trip an SRS of 40 current students says they have spent an average of $265.16 on books. What is the probability that a sample of this size will have an average amount spent that is between $260 and $270?

We cannot say because the condition for randomness, independence, or normality is not met.

0.032

0.189

0.138

0.067

0.413