Let x be a continuous random variable that follows a distribution skewed to the left with μ = 86 and o = 15. Assuming < 0.05, find the probability that the sample mean, x, for a random sample of 69 taken from this n N population will be a. less than 83.9. Round your answer to four decimal places. P(less than83.9) b. greater than 87.9. i

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Let x be a continuous random variable that follows a distribution skewed to the left with μ = 86 and o = 15.
Assuming ≤ 0.05, find the probability that the sample mean, x, for a random sample of 69 taken from this
N
population will be
a. less than 83.9.
Round your answer to four decimal places.
P(less than83.9)
= i
b. greater than 87.9.
Round your answer to four decimal places.
P(greater than 87.9) = i
Transcribed Image Text:n Let x be a continuous random variable that follows a distribution skewed to the left with μ = 86 and o = 15. Assuming ≤ 0.05, find the probability that the sample mean, x, for a random sample of 69 taken from this N population will be a. less than 83.9. Round your answer to four decimal places. P(less than83.9) = i b. greater than 87.9. Round your answer to four decimal places. P(greater than 87.9) = i
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Solution-:

Given: μ=86,σ=15,n=69

We want to find 

(a) P(x¯<83.9)=?

(b) P(x¯>87.9)=?

 

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