SOLUTION: To test the hypothesis H₀:μ=100 against H₁:μ>100, a statistics practitioner randomly sampled 100 observations and found the sample mean =106 and the sample standard deviation

Question 1183216: To test the hypothesis H₀:μ=100 against H₁:μ>100, a statistics practitioner randomly sampled 100 observations and found the sample mean =106 and the sample standard deviation S=35. Assume a significance level of 1%. Calculate the test statistic
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

The statistic to use is , with degree of freedom .
==> , to 4 d.p.
==> . This is also the p-value for the test.
Since p-value = 0.0448 > 0.01 (the significance level), we don't reject the null hypothesis, and conclude that the population mean is still 100.
(Probabilities were obtained from https://stattrek.com/online-calculator/t-distribution.aspx)
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