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A random sample of 1000 observations produces a sample mean of 53.5 with a standard deviation of 5.3. Test the hypothesis that the mean is not equal to 55 at the 0.05 significance level. The Better Business Bureau has received several complaints that a flour company is underfilling its five pound bags of flour. The Bureau randomly selects 750 bags of flour and determines the weight of each bag. The sample average weight of the bags is 4.80 pounds with a standard deviation of 0.15 pounds. Is there overwhelming evidence at the 0.01 level that the bags are underfilled ? 31 Ordinarily, when a company recruits a technical staff member, about 25% of the applicants are qualified. 8 However, based on the information in 120 recently received resumes, 18 appear to be technically qualified. Is there overwhelming evidence that the percentage of qualified applicants is less than 25% ? Test at the 0.05 level