math37practiceMid3-1

# math37practiceMid3-1 - Practice Test for Midterm Exam 3...

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Practice Test for Midterm Exam 3 Directions : Show all work in the space provided. You are allowed to use 1 page of hand-written notes (double-sided). Use the back of the test if you wish. You may use a scientific calculator (please, do not use the calculator in your cell phone). Good luck! 1. Suppose that statistics exam scores for a certain instructor are normally distributed with mean 70 and standard deviation 10. (Note: the exam scores are out of 100 points.) (1.1) Find the probability that a randomly chosen student’s score will be above 80. Given : μ = ______ σ = ______ x = ______ Find : P(x > _________) (1.2) Suppose that, over the years, the instructor has had many sections of size n=25 . What kind of distribution is the sampling distribution of the sample mean? First, identify the name of the distribution, and then find the mean and standard deviation of the sample means. (1.3) Find the probability that a sample of 25 quiz scores will have a mean score greater than 80. Given : μ = ______ σ = ______ x = ______ n = ______ Find : P( x > _________ ) (1.4) Compare the probability that you got from (1.1) and (1.3), interpret the probabilities.

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2. In the 2003-2004 National Basketball Association regular season, Shaquille O’Neal led the league with a 58.4% field goal percentage. (2.1) Suppose that n=50 randomly selected attempts at a goal. What kind of distribution is the sampling distribution of the sample proportion ( p ˆ )? First, identify the name of the distribution, and then find the mean and standard deviation of p ˆ . Given : n = ______ π = ______ 1- π = ______ Verify: Mean: Standard Deviation: n π 10 n(1- ) 10 (2.2) Find the probability that, in a sample of 50 shots, Shaquille would score less than 25 baskets. Let p ˆ = proportion of shots in the basket = _______ (2.3) Find the probability that Shaquille would score more than 60%. Let p ˆ = proportion of shots in the basket = _______
3. The Center for Disease Control and Prevention reported that 20% of preschool children lack required immunizations, thereby putting themselves and their classmates at risk. For a group of n = 64 children with p = 0.20 , approximate the probability using the Normal distribution (remember to use the continuity correction appropriately). (3.1) Verify that this distribution can be approximated by a normal distribution. Calculate the mean and standard deviation. Given : p =______ q =1-p = ________ n = _______ Verify: Mean: Standard Deviation: np 5 nq 5 (3.2) Approximate the probability that there are at most 12 children without immunization. Shade the appropriate area below.

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## This note was uploaded on 01/15/2011 for the course MATH 37 taught by Professor Ramirez during the Fall '10 term at Pacific.

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math37practiceMid3-1 - Practice Test for Midterm Exam 3...

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