decreases increases Flag this Question Question 7 1 pts The amount of time that it takes to complete a statistic exam has a skewed left dist

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decreases increases Flag this Question 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. 0.3300 0.9962 0.6700 0.0038 Flag this Question Question 8 1 pts T

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Alaia 3 days 2021-09-13T15:33:19+00:00 1 Answer 0

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    2021-09-13T15:34:58+00:00

    Answer: 0.0038

    Step-by-step explanation:

    Given : Mean : \mu=\text{60 minutes}

    Standard deviation : \sigma = \text{9 minutes}

    Sample size = 36

    The formula for z -score :

    z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

    For x= 56 ,

    z=\dfrac{56-60}{\dfrac{9}{\sqrt{36}}}=-2.67

    The p-value = P(z<-2.67)

    =0.0037925\approx0.0038

    Hence, the probability that the sample mean of the sampled students is less than 56 minutes  =0.0038.

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