Tried doing part 2 & 3 with ti 83 and I’m not getting the answer. Normal Distrib

Question

Tried doing part 2 & 3 with ti 83 and I’m not getting the answer. Normal Distrib x Secure https./ www ayh connect ath.com alekscgur si exe 1?? 1 Nsikr7 8p3 wwUgVrOZpwqfezDFSVCdwyAH 0 Six PK A sample of size 5 will be drawn from a normal population with mean 62 and standard deviation McGraw Hil Co x the probability x G i-83 plus gvin x D 15. Part 1 Is it appropriate to use the normal distribution to find probabilities for ? is appropriate to use the normal distribution to find probabilities for x Part 2 Find the probability that T will be between 52 and 72. Round the answer to four decimal places. The probability that 3 will be between 52 and 72 is .4950 Correct answer: 0.8640 Part 3 out of 3 Find the 82nd percentile of x. Round the answer to two decimial places. The 82nd percentile of x is Type here to search

Explanation / Answer

Solution:- Given that mean = 62, sd = 15,n = 5

part 2 : P(52 < X < 72)
= P((52-62)/(15/sqrt(5)) < (x-?)/(?/sqrt(n)) < (72-62)/(15/sqrt(5))
= P(-1.4907 < Z < 1.4907)
= 0.8638

: The probability that X-bar will be between 52 and 72 is 0.8640

part 3: x = ? + Z*?/sqrt(n)
= 62 + 0.9154*15/sqrt(5)
= 68.14

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