Question: Consider the following information: According to Stacy, a stats intern, the hospital consortium where she works claims the average (population mean) number of adult patients seen over a non-holiday weekend in the emergency room at small hospitals is 50. She also noted that the population variance for this normally distributed population is 25. She is inclined to disagree with this proposed parameter, so she collected a sample of the number of adult emergency room patients per small hospital over a weekend. The degrees of freedom for her sample are 99. The sample mean was 51 patients per hospital per weekend. Is the Council’s reported claim reasonable, at the 5% level of significance?

Which type of test statistic is generated (i.e., z or t) and why? Explain.

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