HCD 300 - Homework 5 Exam UPDATED
QUESTIONS AND CORRECT ANSWERS
Which of the following statements are TRUE about the normal distribution (choose one or more) -
CORRECT ANSWER - approximately 68% of values fall within one standard deviation of the
mean
- the mean, median, and mode are the same
- the curve is symmetrical
- the tails are asymptotic
In a normal distribution with a mean of 78 and a standard deviation of 7, what is the probability that a
score will be greater than 82? - CORRECT ANSWER - 28.43%
Which of the following is a measure of how asymmetric your data is? - CORRECT ANSWER -
Skewness
Which of the following represents a directional research hypothesis? - CORRECT
ANSWER H1: u1 > u2
In a normal distribution with a mean of 78 and a standard deviation of 7, what is the probability that a
score will be between 71 and 85? - CORRECT ANSWER - 68.26%
Which of the following symbols represents the first research hypothesis? - CORRECT
ANSWER - H1
True or False, the mean for a set of z scores is one. - CORRECT ANSWER - False
Which of the following methods may be helpful in determining the area under the curve? (choose one
or more) - CORRECT ANSWER - Understand how to read your area under the curve table
- Draw a diagram and shade the area of interest
- Stick with one version of the area under the curve table
, If the kurtosis value is negative which of the following statements are true? (choose one or more) -
CORRECT ANSWER - The distribution is flat
- The distribution is platykurtic
When using table B.1 in your text to determine the area under the curve which of the following are
true? (choose one or more) - CORRECT ANSWER - The area between the mean and the z
score is the same for a positive or negative z score
- If you need the area above a positive z score you have to subtract the area provided from 50
- If you need the area below a negative z score you have to subtract the area provided from 50
If you know the z score (z), standard deviation(s) and mean (M), what formula would you use to
compute the raw score (X)? - CORRECT ANSWER - X = z(s) + M
Given that the population of women's height has a mean of 63.6 inches and a standard deviation of 2.5
inches, answer the following questions:
What is the probability that a woman will have a height between 61 inches and 65 inches? -
CORRECT ANSWER - 56.31%
If the mean is greater than the median in a distribution which of following statements are true?
(choose one or more) - CORRECT ANSWER - The right tail is longer than the left
- The distribution is positively skewed
A hypothesis is basically a(n) - CORRECT ANSWER - testable statement
Given that the population of women's height has a mean of 63.6 inches and a standard deviation of 2.5
inches, answer the following questions:
What is the range of height for 95% of women? - CORRECT ANSWER - NOT 61.1 in - 66.1 in
In a normal distribution with a sample size of 60, a mean of 150 and a standard deviation of 15, what
is the probability that a score will be 150 or lower? - CORRECT ANSWER - 50%
What is the term associated with how flat or peaked a distribution appears? - CORRECT
ANSWER - Kurtosis
QUESTIONS AND CORRECT ANSWERS
Which of the following statements are TRUE about the normal distribution (choose one or more) -
CORRECT ANSWER - approximately 68% of values fall within one standard deviation of the
mean
- the mean, median, and mode are the same
- the curve is symmetrical
- the tails are asymptotic
In a normal distribution with a mean of 78 and a standard deviation of 7, what is the probability that a
score will be greater than 82? - CORRECT ANSWER - 28.43%
Which of the following is a measure of how asymmetric your data is? - CORRECT ANSWER -
Skewness
Which of the following represents a directional research hypothesis? - CORRECT
ANSWER H1: u1 > u2
In a normal distribution with a mean of 78 and a standard deviation of 7, what is the probability that a
score will be between 71 and 85? - CORRECT ANSWER - 68.26%
Which of the following symbols represents the first research hypothesis? - CORRECT
ANSWER - H1
True or False, the mean for a set of z scores is one. - CORRECT ANSWER - False
Which of the following methods may be helpful in determining the area under the curve? (choose one
or more) - CORRECT ANSWER - Understand how to read your area under the curve table
- Draw a diagram and shade the area of interest
- Stick with one version of the area under the curve table
, If the kurtosis value is negative which of the following statements are true? (choose one or more) -
CORRECT ANSWER - The distribution is flat
- The distribution is platykurtic
When using table B.1 in your text to determine the area under the curve which of the following are
true? (choose one or more) - CORRECT ANSWER - The area between the mean and the z
score is the same for a positive or negative z score
- If you need the area above a positive z score you have to subtract the area provided from 50
- If you need the area below a negative z score you have to subtract the area provided from 50
If you know the z score (z), standard deviation(s) and mean (M), what formula would you use to
compute the raw score (X)? - CORRECT ANSWER - X = z(s) + M
Given that the population of women's height has a mean of 63.6 inches and a standard deviation of 2.5
inches, answer the following questions:
What is the probability that a woman will have a height between 61 inches and 65 inches? -
CORRECT ANSWER - 56.31%
If the mean is greater than the median in a distribution which of following statements are true?
(choose one or more) - CORRECT ANSWER - The right tail is longer than the left
- The distribution is positively skewed
A hypothesis is basically a(n) - CORRECT ANSWER - testable statement
Given that the population of women's height has a mean of 63.6 inches and a standard deviation of 2.5
inches, answer the following questions:
What is the range of height for 95% of women? - CORRECT ANSWER - NOT 61.1 in - 66.1 in
In a normal distribution with a sample size of 60, a mean of 150 and a standard deviation of 15, what
is the probability that a score will be 150 or lower? - CORRECT ANSWER - 50%
What is the term associated with how flat or peaked a distribution appears? - CORRECT
ANSWER - Kurtosis
