Question

The average sales per customer at a home improvement store during the past year is $75...

The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12. The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, will be between $75 and $78 is:
Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

= / n = 12 / 36 = 2

= P[(75 - 75) /2 < ( - ) / < (78 - 75) / 2)]

= P(0 < Z < 1.5)

= P(Z < 1.5) - P(Z < 0)

= 0.9332 - 0.5

= 0.4332

population = 0.4332

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