1 answer

Business Statistics

Question:

The manufacturer of an airport baggage scanning machine claims it can handle an average of 530 bags per hour. (a) At α=.05 in a left-tailed test, would a sample of 16randomly chosen hours with mean of 510 and a standard deviation of 50 indicate that the manufacturer's claim is overstated? (b) Why might the assubption of a normalpopulation be doubtful?

Answers

Given that The manufacturer of an airport baggage scanningmachine claims it can handle an average of 530 bags per hour. (a)Atα=.05 in a left-tailed test, would a sample of 16(n)randomly chosen hours with mean of 510(x-bar) and a standarddeviation of 50(s)Null Hypothesis:it can handle an average of 530 bags perhourAlternativeHypothesis: it can handlean average less than 530 bags perhourThe test statistic isgiven byThe critical value of 't'at 0.05, the level of significance is 1.753Since the criticalvalue of |t| is less than the critical value of 't' so we acceptthe null hypothesis and conclude that itcanhandle an average of 530 bags per hour.b) Since the samplesize is less than 30 soasssumption of the normal populationis doubtfulAlso the we don't the value of thepopulationstandard deviation.

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