6-2, 6-3, 6-5 Quiz 6, Exam 2

8 September 2022
4.7 (114 reviews)
20 test answers
question
How to find the area of the shaded region using a standard normal distribution table.
answer
begin with the Z-score, locate the number in the 10th place of the decimal from the left column, find the value in the adjoining row of probabilities that is directly below the 100th place of the decimal.
question
a continuous random variable has a _______ distribution if its values are spread evenly over the range of possibilities.
answer
uniform
question
the graph of a uniform distribution results in a _________ shape.
answer
rectangular
question
the length of the uniform distribution is the:
answer
difference between the maximum and minimum values.
question
Which of the following is NOT a descriptor of a normal distribution of a random? variable? Choose the correct answer below. A. The graph of the distribution is? bell-shaped. B. The graph is centered around the mean. C. The graph of the distribution is symmetric. D. The graph is centered around 0
answer
D. The graph is centered around 0
question
Which of the following groups of terms can be used interchangeably when working with normal? distributions? Choose the correct answer below. ?A. areas, z-scores, and probability ? B. areas, z-scores, and relative frequencies ?C. z-scores, probability, and relative frequencies ?D.areas, probability, and relative frequencies
answer
?D.areas, probability, and relative frequencies
question
Which of the following is NOT a requirement for a density? curve? Choose the correct answer below. A. The graph is centered around 0. B. The curve cannot fall below the horizontal axis. C. The total area under the curve must equal 1. D. Every point on the curve must have a vertical height that is 0 or greater.
answer
A. The graph is centered around 0.
question
Which of the following does NOT describe the standard normal? distribution? Choose the correct answer below. A. The total area under the curve must equal 1. B. It is a normal distribution with a mean of 0 and a standard deviation of 1. C. The graph is uniform. D. The graph is symmetric.
answer
C. The graph is uniform.
question
Finding probabilities associated with distributions that are standard normal distributions is equivalent to? _______.
answer
finding the area of the shaded region representing that probability
question
Fill in the blank. The notation ?P(zless than?a) denotes? _______.
answer
the probability of the Zscore is less than a.
question
Which of the following would be information in a question asking you to find the area of a region under the standard normal curve as a? solution? Choose the correct answer below. A. A probability is given B. A distance on the horizontal axis is given C. Finding z Subscript alpha D. An percentage is given
answer
B. A distance on the horizontal axis is given
question
Which of the following is not a commonly used? practice? A. If the distribution of the sample means is normally? distributed, and ngreater than?30, then the population distribution is normally distributed. .B. If the original population is normally? distributed, then for any sample size? n, the sample means will be normally distributed. C. If the original population is not normally distributed and ngreater than?30, the distribution of the sample means can be approximated reasonably well by a normal distribution. D. The distribution of sample means gets closer to a normal distribution as the sample size n gets larger
answer
If the distribution of the sample means is normally? distributed, and ngreater than?30, then the population distribution is normally distributed.
question
The? _______ states that? if, under a given? assumption, the probability of a particular observed event is exceptionally small? (such as less than? 0.05), we conclude that the assumption is probably not correct.
answer
rare events rule for inferential statistics
question
Which of the following is NOT a conclusion of the Central Limit? Theorem? Choose the correct answer below. A. The distribution of the sample data will approach a normal distribution as the sample size increases. .B. The standard deviation of all sample means is the population standard deviation divided by the square root of the sample size. C. The mean of all sample means is the population mean mu. D. The distribution of the sample means x overbar ?will, as the sample size? increases, approach a normal distribution.
answer
The distribution of the sample data will approach a normal distribution as the sample size increases.
question
The? _______ tells us that for a population with any? distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
answer
central link theorem
question
Complete the following statement. If you are asked to find the 85th? percentile, you are being asked to find? _____. Choose the correct answer below. A. an area corresponding to a? z-score of minus0.85 B. a data value associated with an area of 0.85 to its left .C. an area corresponding to a? z-score of 0.85 D. a data value associated with an area of 0.85 to its right
answer
B. a data value associated with an area of 0.85 to its left
question
What conditions would produce a negative? z-score? Choose the correct answer below. A. a? z-score corresponding to an area located entirely in the left side of the curve .B. an area in the top? 10% of the graph C. a? z-score for a negative area D. a? z-score corresponding to an area located entirely in the right side of the curve
answer
A. a? z-score corresponding to an area located entirely in the left side of the curve
question
Where would a value separating the top? 15% from the other values on the graph of a normal distribution be? found? Choose the correct answer below. A. the right side of the horizontal scale of the graph .B. the left side of the horizontal scale of the graph C. the center of the horizontal scale of the graph D. on the top of the curve
answer
the right side of the horizontal scale of the graph
question
Which of the following is not? true? Choose the correct answer below. A. If values are converted to standard? z-scores, then procedures for working with all normal distributions are the same as those for the standard normal distribution. B. A? z-score is an area under the normal curve. .C. A? z-score is a conversion that standardizes any value from a normal distribution to a standard normal distribution. D. The area in any normal distribution bounded by some score x is the same as the area bounded by the equivalent? z-score in the standard normal distribution.
answer
A? z-score is an area under the normal curve.
question
Fill in the blank. A continuous random variable has a? _______ distribution if its values are spread evenly over the range of possibilities.
answer
uniform
1 of 20

Unlock all answers in this set

Unlock answers (16)
question
How to find the area of the shaded region using a standard normal distribution table.
answer
begin with the Z-score, locate the number in the 10th place of the decimal from the left column, find the value in the adjoining row of probabilities that is directly below the 100th place of the decimal.
question
a continuous random variable has a _______ distribution if its values are spread evenly over the range of possibilities.
answer
uniform
question
the graph of a uniform distribution results in a _________ shape.
answer
rectangular
question
the length of the uniform distribution is the:
answer
difference between the maximum and minimum values.
question
Which of the following is NOT a descriptor of a normal distribution of a random? variable? Choose the correct answer below. A. The graph of the distribution is? bell-shaped. B. The graph is centered around the mean. C. The graph of the distribution is symmetric. D. The graph is centered around 0
answer
D. The graph is centered around 0
question
Which of the following groups of terms can be used interchangeably when working with normal? distributions? Choose the correct answer below. ?A. areas, z-scores, and probability ? B. areas, z-scores, and relative frequencies ?C. z-scores, probability, and relative frequencies ?D.areas, probability, and relative frequencies
answer
?D.areas, probability, and relative frequencies
question
Which of the following is NOT a requirement for a density? curve? Choose the correct answer below. A. The graph is centered around 0. B. The curve cannot fall below the horizontal axis. C. The total area under the curve must equal 1. D. Every point on the curve must have a vertical height that is 0 or greater.
answer
A. The graph is centered around 0.
question
Which of the following does NOT describe the standard normal? distribution? Choose the correct answer below. A. The total area under the curve must equal 1. B. It is a normal distribution with a mean of 0 and a standard deviation of 1. C. The graph is uniform. D. The graph is symmetric.
answer
C. The graph is uniform.
question
Finding probabilities associated with distributions that are standard normal distributions is equivalent to? _______.
answer
finding the area of the shaded region representing that probability
question
Fill in the blank. The notation ?P(zless than?a) denotes? _______.
answer
the probability of the Zscore is less than a.
question
Which of the following would be information in a question asking you to find the area of a region under the standard normal curve as a? solution? Choose the correct answer below. A. A probability is given B. A distance on the horizontal axis is given C. Finding z Subscript alpha D. An percentage is given
answer
B. A distance on the horizontal axis is given
question
Which of the following is not a commonly used? practice? A. If the distribution of the sample means is normally? distributed, and ngreater than?30, then the population distribution is normally distributed. .B. If the original population is normally? distributed, then for any sample size? n, the sample means will be normally distributed. C. If the original population is not normally distributed and ngreater than?30, the distribution of the sample means can be approximated reasonably well by a normal distribution. D. The distribution of sample means gets closer to a normal distribution as the sample size n gets larger
answer
If the distribution of the sample means is normally? distributed, and ngreater than?30, then the population distribution is normally distributed.
question
The? _______ states that? if, under a given? assumption, the probability of a particular observed event is exceptionally small? (such as less than? 0.05), we conclude that the assumption is probably not correct.
answer
rare events rule for inferential statistics
question
Which of the following is NOT a conclusion of the Central Limit? Theorem? Choose the correct answer below. A. The distribution of the sample data will approach a normal distribution as the sample size increases. .B. The standard deviation of all sample means is the population standard deviation divided by the square root of the sample size. C. The mean of all sample means is the population mean mu. D. The distribution of the sample means x overbar ?will, as the sample size? increases, approach a normal distribution.
answer
The distribution of the sample data will approach a normal distribution as the sample size increases.
question
The? _______ tells us that for a population with any? distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
answer
central link theorem
question
Complete the following statement. If you are asked to find the 85th? percentile, you are being asked to find? _____. Choose the correct answer below. A. an area corresponding to a? z-score of minus0.85 B. a data value associated with an area of 0.85 to its left .C. an area corresponding to a? z-score of 0.85 D. a data value associated with an area of 0.85 to its right
answer
B. a data value associated with an area of 0.85 to its left
question
What conditions would produce a negative? z-score? Choose the correct answer below. A. a? z-score corresponding to an area located entirely in the left side of the curve .B. an area in the top? 10% of the graph C. a? z-score for a negative area D. a? z-score corresponding to an area located entirely in the right side of the curve
answer
A. a? z-score corresponding to an area located entirely in the left side of the curve
question
Where would a value separating the top? 15% from the other values on the graph of a normal distribution be? found? Choose the correct answer below. A. the right side of the horizontal scale of the graph .B. the left side of the horizontal scale of the graph C. the center of the horizontal scale of the graph D. on the top of the curve
answer
the right side of the horizontal scale of the graph
question
Which of the following is not? true? Choose the correct answer below. A. If values are converted to standard? z-scores, then procedures for working with all normal distributions are the same as those for the standard normal distribution. B. A? z-score is an area under the normal curve. .C. A? z-score is a conversion that standardizes any value from a normal distribution to a standard normal distribution. D. The area in any normal distribution bounded by some score x is the same as the area bounded by the equivalent? z-score in the standard normal distribution.
answer
A? z-score is an area under the normal curve.
question
Fill in the blank. A continuous random variable has a? _______ distribution if its values are spread evenly over the range of possibilities.
answer
uniform