Single-Sample z test. 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?
Single-Sample z test. 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
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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