a) State null and alternative hypothesis b) Test Statistics  c) Critical value  d) Conclusion

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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The alkaline batteries of a toy car were designed to last 30 hours, on average. However lots of customers complained that the batteries were lasting less than 30 hours. You decided to randomly sample 38 of the batteries. The mean of the sample was 29.3 hours, and the sample standard deviation of 2.8 hours. Is there sufficient evidence to support the claim that the mean battery life is less than 30? Perform a hypothesis test at the 5% significance level using the p-value approach.
a) State null and alternative hypothesis
b) Test Statistics 
c) Critical value 

d) Conclusion 

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