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Given a normal random variable X with mean 68 and variance 25, and a random sample of size n taken from the distribution, what sample size n is necessary in order that P(67.8 ≤ X ≤ 68.2) = 0.97? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The necessary sample size is n = ☐ (Round up to the nearest whole number.)

Given a normal random variable X with mean 68 and variance 25, and a random sample of size n taken from the distribution, what sample size n is necessary in order that P(67.8 ≤ X ≤ 68.2) = 0.97? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The necessary sample size is n = ☐ (Round up to the nearest whole number.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Areas under the Normal Curve Areas under the Normal Curve .02 .03 .04 0.5517 .06 .07 0.6808 .09 0.6844 0.6879 0.4 0.9441 1.5 z .00 .01 .05 .08 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.0 0.1 0.5398 0.5438 0.5478 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.2 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 0.8643 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Given a normal random variable X with mean 68 and variance 25, and a random sample of size n taken from the distribution, what sample size n is necessary in order that P(67.8 ≤ X ≤ 68.2) = 0.97? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The necessary sample size is n = ☐ (Round up to the nearest whole number.)
Transcribed Image Text:Given a normal random variable X with mean 68 and variance 25, and a random sample of size n taken from the distribution, what sample size n is necessary in order that P(67.8 ≤ X ≤ 68.2) = 0.97? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The necessary sample size is n = ☐ (Round up to the nearest whole number.)
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