Question: To ensure a safe workplace, it is important that workers not be asked to perform tasks, such as lifting, that exceed their capabilities. The following data on maximum weight of lift (in kg) for a frequency of 4 lifts per minute is from a random sample of males, age 18-30. Do the data suggest that the population mean maximum weight of lift exceeds 25 kg?

25.8 36.6 26.3 21.8 27.2 23.3 31.2 23.5

Calculate the mean (x-bar), and the standard deviation s of the data above.

State your assumption(s).

State the null and alternate hypotheses and define parameters.

Determine which test statistic applies, and calculate it.

Determine the critical value(s).

State your conclusion, in context.