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a)accordang to central limit theorem the middle of 99.7 % covers 3 standard deviations.
Hence from 7.02-0.72*3 to 7.02+0.72*3
= 4.86 to 9.18
b) at 8.46 the Standard deviation count is 8.46-7.02=1.44 /0.72=2
Since at 2 standard deviation in an normal distribution it covers 97.5 %.
Next part
Since the distribution of women height follows a normal distribution with mean =64 and standard deviation as 2.67 , hence as asked the what percentage of women follows more height than men mean height.
Mean height of men is 69.3 so bg using. Z statistics
Z at X= 69.3 is 1.985 calculated hence or 2 hence here according to central limit theorem 2.357% of women height are more than mean men height.
Again,
a) If SAT distribution follow a normal distribution with mean =533 and standard deviation as 116 hence by using Z statistic formula
Z=1.612 now calculating the are more than at Z =1.612 by Z table or by calculator as 0.0534 means 5.34% age of men having scores 720 or more than 720.
b. Again if women SAT scores follows normal distribution hence again by Z statistic formula
Z at 720 calculated as 2.009 or 2 hence by central limit theorem 2.227 % of women have 720 or better.
Please help with these questions. Will give thumbs up top rating! thank you (1 point) The...
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