Exam 6: Continuous Random Variables and the Normal Distribution
Exam 1: Introduction50 Questions
Exam 2: Organizing and Graphing Data93 Questions
Exam 3: Numerical Descriptive Measures92 Questions
Exam 4: Probability75 Questions
Exam 5: Discrete Random Variables and Their Probability Distribution77 Questions
Exam 6: Continuous Random Variables and the Normal Distribution74 Questions
Exam 7: Sampling Distributions76 Questions
Exam 8: Estimation of the Mean and Proportion60 Questions
Exam 9: Hypothesis Tests About the Mean and Proportion93 Questions
Exam 10: Estimation and Hypothesis Testing: Two Populations45 Questions
Exam 11: Chi-Square Tests98 Questions
Exam 12: Analysis of Variance62 Questions
Exam 13: Simple Linear Regression105 Questions
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For the standard normal distribution,the area between z = 0 and z = -1.38,rounded to four decimal places,is:
(Short Answer)
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Which of the following is not a characteristic of the normal distribution?
(Multiple Choice)
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The net weights of all boxes of Top Taste cookies produce a distribution that is approximately normal with a mean of 31.74 and a standard deviation of 0.58.
-The probability that the net weight of a randomly selected box of these cookies is less than 31.58 ounces,rounded to four decimal places,is:
(Short Answer)
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Let x be a continuous random variable that follows a normal distribution with a mean of 226 and a standard deviation of 31.
Find the value of x so that the area under the normal curve between
and x is approximately 0.4959 and the value of x is less than
.Round your answer to two decimal places.


(Short Answer)
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For the standard normal distribution,the area to the left of z = 1.23,rounded to four decimal places,is:
(Short Answer)
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For the standard normal distribution,the area between z = 1.03 and z = 1.30,rounded to four decimal places,is:
(Short Answer)
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For a normal curve,changing the mean from 35 to 46 will cause the curve to shift
(Multiple Choice)
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The heights of all female college basketball players produce a distribution that is approximately normal with a mean of 67.55 and a standard deviation of 2.02.
-The probability that the height of a randomly selected female college basketball player is less than 67.2 inches,rounded to four decimal places,is:
(Short Answer)
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For a continuous random variable x,the area under the probability distribution curve between any two points is always:
(Multiple Choice)
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The net weights of all boxes of Top Taste cookies produce a distribution that is approximately normal with a mean of 31.74 and a standard deviation of 0.58.
-The probability that the net weight of a randomly selected box of these cookies is between 31.8 and 32.5 ounces,rounded to four decimal places,is:
(Short Answer)
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You are given that the area under the standard normal curve to the left of z = -2.56 is equal to 0.0052.What is P(-2.56< z < 2.56)?
(Short Answer)
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The relative frequency density for a class is obtained by dividing the:
(Multiple Choice)
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Let x have a normal distribution with a mean of 49.2 and a standard deviation of 4.90.The z value for x = 56.05,rounded to two decimal places,is:
(Short Answer)
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There are 250 players in a particular youth soccer league that has 11 teams.The league statistician is tabulating the total goals scored over the past season by each player.She assigns the random variable y to represent these totals,and then assigns the following categories for y: 0 to less than 4,4 to less than 8,8 to less than 12,12 to less than 16,16 to less than 20,and 20 to less than 24.The relative frequency density for the 8 to less than 12 class is 0.019.How many of the players scored between 8 and less than 12 goals?
(Short Answer)
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Let x have a normal distribution with a mean of 123.7 and a standard deviation of 6.01.The z value for x = 133.67,rounded to two decimal places,is:
(Short Answer)
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The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1220 and a standard deviation of 130.
-The probability that the sales on a given day at this store are more than $1,405,rounded to four decimal places,is:
(Short Answer)
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As explained in the textbook,the normal distribution can be used as an approximation to the binomial distribution when np > 5 and nq > 5.Let x be the number of times that heads comes up in n flips of a coin for which the probability of a head is p = 0.152.What is the lowest that n can be in order for us to use the normal approximation for the distribution of x?
(Short Answer)
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The accountant at a department store is analyzing the credit card purchases of 100 of the store's cardholders over the past year.The following table lists the frequency distribution of the continuous random variable x,annual credit card purchases.
What is the relative frequency density of the 400 to less than 600 class? Round your answer to 5 decimal places.

(Short Answer)
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The area under the standard normal curve from zero to z is 0.4906 and z is positive.The value of z is:
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For a normal distribution,the z value for an x value that is to the left of the mean is always:
(Multiple Choice)
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