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According to a research institution, men spent an average of $134.48 on Valentine’s Day gifts in...

According to a research institution, men spent an average of $134.48 on Valentine’s Day gifts in 2019. Assume that standard deviation for this population is $40 and that it is normally distributed. A random sample of 10 men who celebrate Valentine’s Day was selected.

A) Calculate the standard error of the mean.

b) What is the probability that the sample mean will be between $115 and $160?

c) Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $134.48.

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