Tesla claims that the average minimum time it takes for its Model 3 to go from 0 to 60mph is 3.1 seconds. Consumer Reports wants to test Tesla’s claim, so they test drive a random sample of 24 Tesla Model 3 cars and they record how quickly these cars go from 0 to 60mph. The sample has a mean of 3.6 seconds and a standard deviation of 1.1 seconds. At α=0.05 is there enough evidence to support Tesla’s claim? Complete parts (a) through (d) below. Assume the population is normally distributed. a) Identify the claim and state the null and alternative hypotheses. b) Obtain the P-value. c) Decide whether to reject or fail to reject the null hypothesis. d) Interpret the decision in the context of the original claim. Make sure to explain how you got your answers and include any formulas you use.
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