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Textbook ExpertVerified Tutor
12 Nov 2021

Given information

Given that, X ~ N(60, 9). Suppose that you form random samples of 25 from this distribution. Let X ¯ be the random variable of averages. Let ΣX be the random variable of sums. For parts c through f, sketch the graph, shade the region, label and scale the horizontal axis for X ¯ , and find the probability.

We have to find the minimum value for the upper quartile for the sum.

Step-by-step explanation

Step 1.

We have 

Then the minimum value for the upper quartile for the sum is 

(where 0.75 is the probability of the area).

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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