hat a population of thousands of p

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Assume that a population of thousands of people whose responses were used to develop the anxiety test had scores that were normally distributed with u=30 and o=10. What proportion of people in this population would have anxiety scores within each of the following range of scores?

  1. Below 20 =
  2. Above 30
  3. Between 10 and 50 =
  4. Below 10 =
  5. Below 50 =
  6. Above 50 =
  7. Either below 10 or above 50 =

 

What is SEm2?  It is the sample estimate of the standard error of the mean. What does the value of SEm tell you about the typical magnitude of sampling error?  It tells where a researcher has one sample of data of size N and the researcher can compute a sample mean, M, and a sample standard deviation, s, but the researcher does not know the values of the population parameter.

  1. As s increases, how does the size of SEm change (assuming that N stays the same)?
  2. As N increases, how does the size of SEm change (assuming that s stays the same)

Let’s suppose that a researcher wants to set up a 95% CI for IQ scores using the following information:

The sample mean M= 130

The sample standard deviation s = 15.

The sample size N = 120.

 The df = N – 1 = 119

  1. What are the upper and lower limits of the CI and the width of the 95% CI if all the other values remain the same (M = 130, s =15) but you change the value of N to 16
  2.  
  3. What are the upper and lower limits and the width of this Ci if you change the confidence level to 80% (and continue to use M = 130, s = 15, and N = 49)? For an 80% CI, lower limit = and upper limit =     width (upper limit – lower limit) =
  4.  
  5. What are the upper and lower limits and width of the CI if you change the confidence level to 99% (continue to use M= 130, s =15, and N =49)? For a 99% CI, lower limit = and upper limit =     width (upper limit – lower limit) =

 

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