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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.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 9E
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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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