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Please answer this below. thank you!………………..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

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