5 The Jenkins Tire Company plans to warranty its new mountai

5. The Jenkins Tire Company plans to warranty its new mountain bike tire for 12 months. However, the mean lifetime of the tires is at least 18 months under normal operations. It will put the warranty in place unless the sample data strongly suggest that the mean lifetime of the tires is less than 18 months. The company plans to test this statistically using a random sample of tires. The test will be conducted using a = 0.03. If the population mean is actually 16.5 months, determine the probability the hypothesis test will lead to incorrectly failing to reject the null hypothesis. Assume that the population standard deviation is known to be 2.4 months and the sample size is 60.

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