The calibration of a scale is to be checked by weighing a 10

The calibration of a scale is to be checked by weighing a 10-kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with = 0.200kg. Let denote the true average weight reading on the scale.

e. If the sample size were only 10 rather than 25, how should the procedure of part (d) be
altered so that = 0.05?
f. Using the test of part (e), what would you conclude from the following sample data?
{9.981, 10.006, 9.857, 10.107, 9.888, 9.728, 10.439, 10.214, 10.190, 9.793}
g. Re-express the test procedure of part (b) in terms of the standardized test statistic Z =
(X_bar – 10)/(/sqrt(n)).

Solution