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Data from a National Health Survey show

Question # 00006774
Subject: Statistics
Due on: 01/17/2014
Posted On: 01/17/2014 09:44 AM

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1. Data from a National Health Survey show that men’s average weight is normally distributed with a mean of 172 pounds and a standard deviation of 29 pounds.

a. If a man is chosen at random, what is the probability that his weight is greater than 180 pounds?
b. If 100 men are randomly selected, what is the probability that their mean weight is greater than 180
pounds?
c. What is the probability that mean weight of the 100 men is less than 160 pounds?


2. According to the College Board’s report, the average tuition and fees at four year private colleges and
universities in the United States was $18,273 for the academic year 2002 – 2003 and the standard deviation was $2100. For a random sample of 100 four year private U.S. colleges:

a. What is the mean of the sampling distribution?
b. What is the standard deviation of the sampling distribution?

c. What is the probability that the mean tuition and fees of the sample is greater than $20,000?
d. What is the probability that the mean tuition and fees of the sample is less than $16,000?
e. What is the probability that the mean tuition and fees of the sample is within $550 of the population
mean?

Tags survey health national data mean probability fees weight sample tuition greater deviation year standard random sampling private average states 0 united colleges universities academic 1 20000d 16000e population distributionc distributionb 2 collegesa 3 according

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Solutions - Data from a National Health Survey show

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Tutorial Preview …is xxxxxxxx distributed xxxx a mean xx 172 pounds xxx a xxxxxxxx xxxxxxxxx of xx pounds a xx a man xx chosen xx xxxxxxx what xx the probability xxxx his weight xx greater xxxx xxx pounds?z x (x - xxxxxxxxxx = (180 x 172)/29z x xxxxx = x 28Using Excel xxxxxxxxxx p = x 6087BUT xxxxx xx want xxxxxxxx than," we xxxx to subtract xxx probability xxxx xx = x - 0 xxxx = 0 xxxx b xx xxx men xxx randomly selected, xxxx is the xxxxxxxxxxx that…
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