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PROBLEM 1: Conduct a one-tailed hypothesis test given the information below. A certain brand of fluorescent light tube was advertised as having an effective life span before burning out of 4000 hours. A random sample of 84 bulbs was burned out with a mean illumination life span of 1870 hours and with a sample standard deviation of 90 hours. With a 0.05 level of significance, is the sample mean less than the advertised mean?

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