Acmrding to a research institution. men spent an average of $135.18 on Valentine's Day gifts in 2009. Assume the standard deviation for this

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Acmrding to a research institution. men spent an average of $135.18 on Valentine's Day gifts in 2009. Assume the standard deviation for this population is $35 and thatit is normally distributed. A random sample of ‘10 men who oelebrate Valentine's Day was selected. Complete parts a through e. a. Calculate the standard error of the mean.a; = D[Round to two decimal places as needed.) b. What is the probability that the sample mean will be less than $125?P (i < 5125) = D (Round to four decimal places as needed} c. What is the probability that the sample mean will be more than $145? P(i»$145}=|j [Round to four decimal places as needed} d. What is the probability that the sample mean will be between $1 15 and $165? P($1155§s$155} =D(Round to four decimal places as needed} 9. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $135.18. $E|sis$E| [Round to the nearest dollar as needed.) Enter your answer in each of the answer boxes. (i