A weight is manufactured with the intention of weighing 1 kilogram. An engineer is interested in whether or not the weight is as advertised. Five measurements are taken, and the weight above 1 kg is recorded in micrograms:

105       95         -10        92         110

a. Is a one-tailed or two-tailed test appropriate?

b. Estimate the standard deviation (use the small sample version, called SD+ in the slides).

c. Calculate the test-statistic, assuming that the null hypothesis is that the weight weighs 1 kilogram.

d. What range is the p-value in? 0%-1%, 10%-20%, 20%-50%, 2%-10%?

 

Table 1. A short t-table. Degrees of freedom 10% 5% 1% 1 3.08 6.31 31.82 1.89 2.92 6.96 3 1.64 2.35 4.54 4 1.53 2.13 3.75 1.48 2.02 3.36