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Provide the answer to each question number listed below using complete sentences in APA format.  Steps completed to determine the answer may also be included.

  1. Describe the distribution of sample means (shape, expected value, and standard error) for samples of n= 36 selected from a population with a mean of u=100 ans a standard deviation of σ = 12.
  2. For a population with a mean of u= 70 and a standard deviation of σ = 20, how much error, on average would you expect between the sample mean (M) and the population mean for each of the following sample sizes?

N= 4 scores

N= 16 scores

N= 25 scores

Additional Items:

Chapter 8

  1. If the alpha level is changed from a= .05 to a= .01,
  2. What happens to the boundaries for the critical region?
  3. What happens to the probability of a Type I error?
  1. In a study, a sample of n= 100 adolescents with a history of group participation is given standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of u= 40 and a standard deviation of σ =12. The sample of group participation adolescents had an average of M=43.84.
  2. Does this sample provide enough evidence to conclude that self esteem scores for these adolescents are significantly different from those the general population? Use a two-taile test with a= .01.
  3. Compute Cohen’s d to measure of effect size it would appear in a research report.
  4. Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research paper.
  1. Miller examined the energy drink consumption of college students and found that males use energy drinks significantly more often than females. Suppose the researcher selects random samples of n=36 males and a sample of n=25 females.  On average the males reported consuming M=2.45 drinks per month and females M=1.28. Assume the overall average of consumption is u= 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approx. normal with a standard deviation σ= 1.2.
  2. Did this sample of males consume significantly more energy drinks than the overall population? Use a one-tailed test with a= .01.
  3. Did this sample of females consume significantly fewer drinks than the overall population average? Use a one-tailed test with a=.01
  1. A psychologist is investigating the hypothesis that children who grow up as the only child in the household develop different personality characteristics than those who grow up in larger families. A sample of n=30 only children is obtained and each child is given a standardized personality test. For the general population, scores on the test from a normal distribution with a mean of u=50 and a standard deviation of σ=15. If the mean for the sample is M=58, can the researcher conclude that there is a significance difference in personality between only children and the rest of the population? Use a two- tailed with a=.05.
  2. Briefly explain how increasing sample sizes of each of the following. Assume that all other factors are held constant.
  3. The size of the z-score in a hypothesis test.
  4. The size of Cohen’s d.
  5. The power of a hypothesis test.

Additional Item:

  • Chapter 8 is crucially important for the understanding of most of the rest of this course. Too often students focus on the calculations and not the underlying concepts and principles.  Please write a narrative indicating an understanding of the underlying process of hypothesis testing.  Do not focus on the calculation of z-testing but rather the fundamentals of hypothesis testing.  Be sure to address the following topics:
  1. the four fundamental steps in hypothesis testing,
  2. type I and type II errors, the relationship of alpha to type I and type II errors,
  3. the critical regions (how it is established and how it relates to alpha), and
  4. the decision, effect size, and how related to hypothesis testing and power.

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