Question 7

1 pts

the amount of time that it takes to complete a statistic exam has a skewed left

distribution with a mean of 60 minutes and a standard deviation of 9 minutes. if 36

students are randomly sampled, determine the probability that the sample mean of the

sampled students is less than 56 minutes.

0.6700

0.3300

0.9962

0.0038

The probability that the sample mean of the sampled students is less than 56 minutes is 0.0038

Step-by-step explanation:

According to the central limit theorem, Sampling distribution of the amount of time that it takes to complete a statistic exam is distributed normally with the same mean as the population where the all samples chosen from.

To find the probability that the sample mean of the sampled students is less than 56 minutes we need to calculate the z-score, and check its corresponding probability P(x<56) from z-table.

Z-score can be calculated as follows:

where

We get z= -2.67 and then P(x<56) = P(z<-2.67) = 0.0038

30

step-by-step explanation:

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explanation:

step-by-step explanation: