Mean hypothesis testing with t-distribution
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- Hypothesis Testing Mean Claims without Knowing σ
A gravel company has been known in the past to overload their trucks. The load capacity is 2500lbs of gravel for one of their standard trucks. A total of 41 trucks were sampled and had an average load of 2550lbs, with a standard deviation of 150lbs. With a significance level of α=0.01 can it be said that this company overloads their trucks? - "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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Topic Notes
If σ is not known, then we cannot use the test statistic:
Z=nσx−μ
We will instead use the test-statistic:
Z=nsx−μ
So at the very least we must know the sample standard deviation, s.
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.
Z=nσx−μ
We will instead use the test-statistic:
Z=nsx−μ
So at the very least we must know the sample standard deviation, s.
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