Mean hypothesis testing with t-distribution - Hypothesis Testing

Mean hypothesis testing with t-distribution

Lessons

Notes:
If σ\sigma is not known, then we cannot use the test statistic:
Z=xμσnZ=\frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}
We will instead use the test-statistic:
Z=xμsnZ=\frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}
So at the very least we must know the sample standard deviation, ss. Furthermore we will be using a t-distribution instead of our standard normal distribution to find our fail to reject region and our rejection region.
  • 3.
    “Redline motorcycles” is a company that fixes and tunes motorcycles. A sample of 75 of their motorcycles had an average of 135hp, and a standard deviation of 35hp. Test the following claims with a 99% confidence level:
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Mean hypothesis testing with t-distribution

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