Rtud 1) The height of male college students has a mean of 69 inches with a stand
ID: 3178116 • Letter: R
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Rtud 1) The height of male college students has a mean of 69 inches with a standard deviation of 4 inches. If a random sample of 35 male college students are sampled what is the probability that the sample average height of these students is 70 inches or more? e 4 inches p z 7 20) 2) The amount of fill (weight of contents) put into a glass jar of spaghetti sauce has a mean of grams standard deviation of grams. of spaghetti sauce is randomly selected what probability the sample average amount of spaghetti sauce is less than 848 grams is the that 3y The National Health and Nutrition Examination survey reported that the mean serum cholesterol level for U.S. adults is 202 deciliter with a standard deviation of that 1 milligrams per deciliter. If a random sample of 110 adults is taken what is the prob the sample average cholesterol level is at least 210 milligrams per deciliter 0 4) According to the state of Utah the average annual child-care cost for a 12 month old is $4651 with a standard deviation of $310 dollars. If 50 randomly selected day care centers is e chosen what is the probability that the sample average cost of child-care is at least $4800? 5) The average score on a final exam has a mean of 84 with a standard deviation of 10. If 35 students are randomly selected what is the probability that the sample average score is at least 88?Explanation / Answer
1. Here it is given that mean=69 and sd=4
For n=35 we need to find P(x>=70)
As we can see n>30, we as per cnetral limit theorem sampling mean is normally distributed with mean=69 and SE=sd/sqrt(n)=0.68
Hence converting x to z we get P(x-mean/se>=70-69/0.68)=P(z>=1.48)=0.5-P(0=z<=1.48)=0.5-0.4306=0.0694
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