Determine the p-value (round to 4 decimal places). Sketch the graph, shade the region corresponding to p-value and label the test statistic. b. Is there sufficient evidence at the 5% significance level to support the principal’s claim?
The manufacturer of a particular brand of tires claims they average less than 50,000 miles before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 8,000 miles. A survey of tire owners was conducted. From the 29 tires surveyed, the mean lifespan was 47000 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim?
a. Determine the p-value (round to 4 decimal places). Sketch the graph, shade the region corresponding to p-value and label the test statistic.
b. Is there sufficient evidence at the 5% significance level to support the principal’s claim? The correct conclusion would be:
1. There is enough evidence to conclude that the tires do not last fewer miles than claimed
2. There is enough evidence to conclude that the tires last fewer miles than claimed
3. There is not enough evidence to conclude that the tires do not last fewer miles than claimed
4. There is not enough evidence to conclude that the tires last fewer miles than claimed
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