Concept explainers
Scores from a questionnaire measuring social anxiety form a
- a. for a random sample of n = 4 people?
- b. for a random sample of n = 16 people?
- c. for a random sample of n = 25 people?
a.
Answer to Problem 11P
The probability of obtaining a sample mean greater than
Explanation of Solution
Given info:
Numbers of people in a random sample are
Population mean is
Population standard deviation is
Sample mean is
Calculation:
If
Let
Let p represents the probability that random mean is greater than
Software procedure:
Step-by-step procedure to obtain the
- Click on first empty block of data view.
- Go to Transform>Choose Compute variable>Enter Probability in Target Variable.
- Choose CDF& Noncentral CDF under Function group> choose CDF.Normal> drag it to the numeric expression.
- Enter 53,50,5 in the braces of CDF.NORMAL
- Choose OK.
Output using the SPSS software is given below:
From the SPSS output,
Using
Thus, the probability of obtaining a mean greater than
b.
Answer to Problem 11P
The probability of obtaining a sample mean greater than
Explanation of Solution
Given info:
Numbers of people in a random sample are
Population mean is
Population standard deviation is
Sample mean is
Calculation:
If
Let
Let p represents the probability that random mean is greater than
Software procedure:
Step-by-step procedure to obtain the
- Click on first empty block of data view.
- Go to Transform>Choose Compute variable>Enter Probability in Target Variable.
- Choose CDF& Noncentral CDF under Function group> choose CDF.Normal> drag it to the numeric expression.
- Enter 53,50,2.5 in the braces of CDF.NORMAL
- Choose OK.
Output using the SPSS software is given below:
From the SPSS output,
Thus,
Hence, the probability of obtaining a mean greater than
c.
Answer to Problem 11P
The probability of obtaining a sample mean greater than
Explanation of Solution
Given info:
Numbers of people in a random sample are
Population mean is
Population standard deviation is
Sample mean is
Calculation:
If
Let
Let p represents the probability that random mean is greater than
Software procedure:
Step-by-step procedure to obtain the
- Click on first empty block of data view.
- Go to Transform>Choose Compute variable>Enter Probability in Target Variable.
- Choose CDF& Noncentral CDF under Function group> choose CDF.Normal> drag it to the numeric expression.
- Enter 53,50,2 in the braces of CDF.NORMAL
- Choose OK.
Output using the SPSS software is given below:
From the SPSS output,
Thus,
Hence, the probability of obtaining a mean greater than
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Chapter 7 Solutions
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,