Question

In: Math

You own a small company. Last year you conducted a study to learn more about your...

You own a small company. Last year you conducted a study to learn more about your customers. You found that the mean age of your customers was 31.84 years with a standard deviation of 9.84 years. This year you take a random sample of 60 customers. What is the probability that the mean age of those 60 customers is greater than 33 years?

Expert Solution

Solution :

Given that ,

mean = = 31.84

standard deviation = = 9.84

n = 60

= 31.84

= / n = 9.84 / 60 =1.2703

P( > 33) = 1 - P( < 33)

= 1 - P[( - ) / < (33 - 31.84) / 1.2703 ]

= 1 - P(z <0.91 )

Using z table,

= 1 - 0.8186

= 0.1814

milcah answered 1 month ago

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