Step 1) Population 1 (Sample): Population 2:   Null Hypothesis (H0): Research Hypothesis (H1):   Step 2) Determine the characteristics of the comparison distribution. Sample Mean = M = _________ Mean of the population = μ = ________ Population standard deviation = = _________ Standard deviation of distribution of means = = __________     Step 3) Determine the cutoff score on the z distribution (use a 0.05 p value).   Cut-off score = _________       Step 4) Determine your sample’s z score.   z = ___________       Step 5) Decide whether or not to reject null hypothesis. What conclusion can you make? Is the mean DRP score of Albany third graders greater than 30?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Here are the Degree of Reading Power (DRP) scores for a random sample of 10 third grade students in the Albany City school district:

 

31, 27, 38, 34, 42, 28, 26, 43, 46, 27

 

You wonder whether the mean score of this sample is greater than the population mean of all third grade students in the Albany City school district, which is 30. Suppose scores on the DRP are known to be normally distributed with a population standard deviation of 11.

 

 

Step 1)

  • Population 1 (Sample):
  • Population 2:

 

  • Null Hypothesis (H0):
  • Research Hypothesis (H1):

 

Step 2) Determine the characteristics of the comparison distribution.

  • Sample Mean = M = _________
  • Mean of the population = μ = ________
  • Population standard deviation = = _________
  • Standard deviation of distribution of means = = __________

 

 

Step 3) Determine the cutoff score on the z distribution (use a 0.05 p value).

 

  • Cut-off score = _________

 

 

 

Step 4) Determine your sample’s z score.

 

  • z = ___________

 

 

 

Step 5) Decide whether or not to reject null hypothesis. What conclusion can you make? Is the mean DRP score of Albany third graders greater than 30?

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