An industrial researcher is a consultant to a large chain of bookstores. Industry reports show that for book stores in general, the average number of complaints received by management for a 1-month period at this time of year is 6.5 (the variance is not known). Seven of this chain’s stores are randomly selected to keep records of complaints received over a 1-month period. The numbers of complaints are 4, 8, 9, 0, 3, 5, and 6. Does this chain get a different amount of complaints than book stores in general? (Use the .05 level).
(a) Define variable of interest and state null and research hypotheses.
(b) Determine the characteristics of the comparison distribution. [To determine the mean and standard deviation of the distribution, find d.f., estimated population variance and estimated standard deviation (SD), and variance and SD of distribution of means. Explain how you found the characteristics of the comparison distribution ]
(c) What are the cut-off values for a test with significance level 0.05?
(d) What is the observed t score? In order to calculate the t-score, you first need to calculate the standard deviation of distribution of means (SE). In order to do so you first need to estimate the population standard deviation. Fill in the table : X=No. of complaints ( ) X X 2 ( ) X X 4 8 9 0 3 5 6 [After calculation of SE , explain in dot point how you found the t-score]
(e) Test your hypotheses and state your conclusions.
(f) What is the effect size of the study?
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