The Central Limit Theorem tells us that regardless of how the population data is

Question

The Central Limit Theorem tells us that regardless of how the population data is distributed, if the sample size is large enough (greater than or equal to 30) then the distribution of sample means will Select one: a. be distributed normally b. have the same distribution as the population c. always follow a t distribution d. have a larger variance than the population In Crazy Cuts hair salon, the time to complete a simple haircut is normally distributed with a population mean of 25 minutes and a population standard deviation of 4 minutes. What percent of customers require less than 32 minutes for a simple haircut? Select one: a. 45.99% b. 97.72% c. 99.45% d. 95.99%

Explanation / Answer

1 ans) option c

2 ans) given mean =25

std =4

z = (32-25)/4 = 7/4=1.75

from standard z table we have value when 1.75 is 0.9599 = 95.99%

option d

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