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6-step hypothesis testing

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25 randomly selected tires from a tire company has the actual tread life:

40000 40100 38400 39170 36470 41360 37980 40060 38810 40370 39860 39280 41210 38660 38960 41780 39680 36240 38000 41120 39480 35160 42270 41320 39860

The company claims that this particular tire has a tread life of 40000 miles. Is this accurate or inaccurate? Show all 6 steps of the hypothesis test.

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Solution Summary

This solution involves showing steps of a hypothesis test from randomly selected tires.

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25 randomly selected tires from a tire company has the actuel tread life:

40000 40100 38400 39170 36470 41360 37980 40060 38810 40370 39860 39280 41210 38660 38960 41780 39680 36240 38000 41120 39480 35160 42270 41320 39860
the company claims that this particular tire has a tread life of 40000 miles. Is this ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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