According to a research institution, men spent an average of $136 39 on Valentine's Day gifts in 2009. Assume the standard deviation for this population is $45 and that it is normally distributed A random sampie of 15 men who celebrate Valentine's Day was selected Complete parts a through e a. Calculate the standard error of the mean = 11.62 (Round to two decmal places as needed) b. What is the probability that the sample mean will be less than $130? P(k<$130) = 02912 (Round to four decimal places as needed) c. What is the probability that the sample mean will be more than $140? P(i-S140) -D (Round to four decimal places as needed.)

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