Question

A data set of 27 male African elephants shows that their weights are normally distributed, and have an average weight of 111 kg, with a 95% confidence interval of (104, 119). I was asked to find an appropriate hypothesis test for this data set, and do the calculations and interpret the data, but if I feel that there are no natural hypothesis testing to carry out, then I should state why not. I personally feel there is no natural hypothesis test to do on this data because the average weight is normally distributed, and no outliers, despite the sample size being only 27, I feel that 111 kg is a reasonable weight for baby elephants. Please let me know if my answer is correct, if not please explain to me how to arrive to the right answer, thank you.

Answer 1

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Answer

We can use one sample t test here. Because it is given that the data follows a Normal distribution and Population variance is unknown. Still if n < 30 , we can use t test only when Normality assumption along with population variance unknown should hold. Both these assumptions hold here.

But what we really what to test here is missing. That is claimed population mean or Hypothesized mean is missing. Still I am ready to help you... Please read the below hand written images....

Dear If you are asked that If you feel there is no natural hypothesis testing. Then you can argue that here we can't carry out a hypothesis test because Hypothesis is not given... What we need to test here is not given , But yet I assumed a general value for claim and Interpret the test. Hope this will help you...