Question

Show work in Excel workbook. Maggies Restaurants has noted that they have a mean average ticket price for food and drinks of $67. suppose a random sample of 80 tickets is taken to determine the total cost of their meal and drinks. The population standard deviation of total meal cost is know to be $22.

What is the probability the sample mean will be within $3 of the population mean cost per ticket? (to 4 decimals)

Answer 1

This is a normal distribution question with

Sample size (n) = 80
Since we know that

x₁ = 64
x₂ = 70
P(64.0 < x < 70.0)=?

This implies that
P(64.0 < x < 70.0) = P(-1.2197 < z < 1.2197) = 0.774
PS: you have to refer z score table to find the final probabilities.
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