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QUESTION 16 students who took the exam last year, what is In Colorado, the avera

ID: 3043152 • Letter: Q

Question

QUESTION 16 students who took the exam last year, what is In Colorado, the average ACT score is 20.1 with a standard deviation of 1.3. In a random sample of 35 the probability that the average composite ACT score is 19.5 or less? Show your calculations for finding the z-score then find the probability to four decimal places using the appropriate probability notat (2 pts). ion (2 pts). Write a sentence that gives your solution in context TTT Paragraph , Arial Words:0 Path: p Click Save and Submit to save and submit. Click Save All Answers to saue all answers

Explanation / Answer

P(Sample mean < 19.5)

= P(x - bar < 19.5)

= P(z < (19.5 - 20.1)/(1.3/sqrt(35))

= P(z < -2.730)

= 0.0032

Hence,

Probability that the avergae composite ACT score is 19.5 or less will be 0.0032

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