A sample of n=25 scores has a mean of M=68. Find the z-score for this sample: If it was obtained from a population with m=60 and s=10. If it was obtained from a population with m=60 and s=20.   If it was obtained from a population with m=60 and s=40.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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  1. A sample of n=25 scores has a mean of M=68. Find the z-score for this sample:
    1. If it was obtained from a population with m=60 and s=10.
  1. If it was obtained from a population with m=60 and s=20.

 

  1. If it was obtained from a population with m=60 and s=40.

 

  1. A normal distribution has a mean of μ = 54 and a standard deviation of σ = 6.
    1. What is the probability of randomly selecting a score less than X = 51?
  1. What is the probability of selecting a sample of n = 4 scores with a mean less than M = 51?
  2.  
  3. What is the probability of selecting a sample of n = 36 scores with a mean less than M = 51?
  4.  
  5. A sample is selected from a population with a mean of and a standard deviation of .
    1. If the sample has scores, what is the expected value of  and the standard error of

 

  1. If the sample has scores, what is the expected value of  and the standard error of ?

 

  1. A random sample is obtained from a normal population with a mean of and a standard deviation of . The sample mean is
  2.  
  3. Is this a representative sample mean or an extreme value for a sample of scores?

Is this a representative sample mean or an extreme value for a sample of scores?

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,