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# The mean weight of loads of brick is 46.0 tons with a standard deviation of 8.

1. The mean weight of loads of brick is 46.0 tons with a standard deviation of 8.0 tons, twnety-five loads are chosen at random for a weight check, find the probability that the mean weight of those loads is less than 44.24 tons, assume that the variable is normally ditributed: A.0.1677 B.0.1357 C.0.4129 or D.0.2957. 2. A independent poll of college students showed that fifty percent of college students watch the Winter Olympics, for a sample of 120 students selected at random, what is the mean and variance of the number of students who watch this event? A.Mean=60.0, Variance=30.00 B.Mean=30.0, Variance=30.00 C. Mean=60.0, Variance=5.48 or D. Mean=30.0, Variance=5.48. 3. The standard normal distribution has a special property, what is it? A. The mean is located at the center of the distribution, B.The curve is continuous C. The mean is 0 and the standard deviation is 1 or D. The total area under the normal distribution curve is equal to 1.00 4. In reviewing batting averages for minor league baseball players, it was found that the batting average is 0.340 or 34% for a player having a good season, find the probability that the player will have a bad season by having 60 hits in 200 times at bat. A.50.34% B.12.64% C.13.14% or D.11.72%. 5. A normal random variable x has a mean of 11, the probability that x is less than 12.10 is 0.81, what is the standard deviation of x? A.2.50, B.3.00 C.6.25 or D.1.25. 6.Given a normal distribution with mean-15 and standard deviation six, the value -24 has a z value of: A.-2.5 B.-6.5 C.-1.5 or D.-3.5. 7. The average number of people ina suburban area in Vermont is 80 per square mile with a standard deviation of 8 people, if sixteen square miles are chosen at random for a census count, find the probability that the average of those counts is more than 81.6 people per square mile, assume that the variable is normally distributed: A.0.1052 B.0.4119 C.0.2119 or D.0.1799. 9. If x is a normal random variable with standard deviation two, and if the probability that X is less than 4.76 is .648, then what is the mean of X? A.3.7 B.3.1 C.4.0 or D.3.5. 10.The ________ is a term for the number of standard deviations that a particular random variable value, X is away from the mean: A.y value B.continuous value C.z value or D.discrete value. 11.Given the population standard deviation equals 70, and the standard error of the mean(the standard deviation of the sample mean) equals 14, what is the sample size that needs to be taken? A.625 samples B.125 samples C.5 samples or D.25 samples. 12. For a theoretical normal distribution, which of the following properties does not apply? A. The curve never touches the x-axis, B.The normal distribution is bell-shaped, C.The mean, median, and mode are equal or D.The normal distribution is bimodal. 13. The average hourly wage of plant workers at a canning company is $6.50/hr with a standard deviation of $0.45, assume that the distribution is normally distributed, if a worker at the canning company is selected at random, what is the probability that the worker earns more than $6.75? A.27.64% B.5.17% C.28.77% or D.42.07%. 14. The average diameter of certain Euro coins 3.00 millimeters with a standard deviation of 0.70 millimeters, if 9 coins are chosen at random, find the probability that the average diameter of those coins is more than 2.790 millimeters, assume that the variable is normally distributed: A.0.8019 B.0.8131 C.0.7959 or D.0.8159 15. When the majority of data values fall to the right of the mean, what is the type of distribution pattern that occurs? A.right skewed B.positively skewed C.symmetrical or D.negatively skewed. 16. What is the mean of a normal random variable X given that the standard deviation is equal to four, and the probability that X is more than 5.52=.305? A.3.5 B.4.8 C.4.0 or D.3.7. 17. Find the value x such that P(X>x) is equal to .7054, given that, X is a normal random variable with the mean equaling to six and standard deviation equaling to three: A.5.19 B.6.92 C.4.92 or D.4.38. 18. Using the standard normal distribution, find the probability P(z<-0.46). A.0.5400 B.0.6772 C.0.3228 D.0.8228. 19. Using the standard normal distribution, find the probability P(z<0.17). A.0.5675 B.0.0675 C.0.4325 or D.0.8300. 20. Using the standard normal distribution, find the probability P(-0.62<z<-0.01). A.0.7716 B.0.3584 C.0.2284 or D.0.1900.