Concept explainers
(a)
Find the proportion value under the standard normal curve lies to the between the
(a)
Answer to Problem 13CAP
The value of
Explanation of Solution
Calculation:
The given z scores are 0 and 1.96.
Calculate the value of
From Appendix C: Table C.1 “The Unit Normal Table”
- Locate the z value 1.96 in column A.
- The probability value locate in the column B: Area Between mean and z corresponding to 1.96 is 0.4750.
Thus, the value of
(b)
Find the proportion value under the standard normal curve lies between the z score mean and 0.
(b)
Answer to Problem 13CAP
The value of
Explanation of Solution
Calculation:
The given z scores are mean and 0. The mean value of the standard
Thus, the area between the value mean and the value 0 is 0.000.
(c)
Find the proportion value under the standard normal curve lies to the between the z scores –1.50 and 1.50.
(c)
Answer to Problem 13CAP
The value of
Explanation of Solution
Calculation:
The given z scores are –1.50 and 1.50.
Calculate the value of
From Appendix C: Table C.1 “The Unit Normal Table”
- Locate the z value 1.50 in column A.
- The probability value locate in the column B: Area Between mean and z corresponding to 1.50 is 0.4750.
The value of
From Appendix C: Table C.1 “The Unit Normal Table”
- Locate the z value 1.50 in column A.
- The probability value locate in the column C: Area Beyond z in tail corresponding to 1.50 is 0.0668.
Since the normal distribution is symmetric,
From the table value
The value of
Thus, the value of
(d)
Find the proportion value under the standard normal curve lies to the between the z scores –0.30 and –0.10.
(d)
Answer to Problem 13CAP
The value of
Explanation of Solution
Calculation:
The given z scores are –0.30 and –0.10.
Calculate the value of
From Appendix C: Table C.1 “The Unit Normal Table”
- Locate the z value 0.10 in column A.
- The probability value locate in the column C: Area Beyond z in tail corresponding to 0.10 is 0.4602.
Since the normal distribution is symmetric,
From the table value
The value of
From Appendix C: Table C.1 “The Unit Normal Table”
- Locate the z value 0.30 in column A.
- The probability value locate in the column C: Area Beyond z in tail corresponding to 0.30 is 0.3821.
Since the normal distribution is symmetric,
From the table value
The value of
Thus, the value of
(e)
Find the proportion value under the standard normal curve lies to the between the z scores 1.00 and 2.00.
(e)
Answer to Problem 13CAP
The value of
Explanation of Solution
Calculation:
The given z scores are 1.00 and 2.00.
Calculate the value of
From Appendix C: Table C.1 “The Unit Normal Table”
- Locate the z value 2.00 in column A.
- The probability value locate in column B: Area Between mean and z corresponding to 2.00 is 0.4772.
The value of
Thus, the value of
From Appendix C: Table C.1 “The Unit Normal Table”
- Locate the z value 1.00 in column A.
- The probability value locate in column B: Area Between mean and z corresponding to 1.00 is 0.3413.
The value of
Thus, the value of
Thus, the value of
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Chapter 6 Solutions
Statistics for the Behavioral Sciences
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