Question

The calibration of a scale is to be checked by weighing a 11 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 σ = 0.200 kg. Let μ denote the true average weight reading on the scale.

(a)What hypotheses should be tested?

(b)With the sample mean itself as the test statistic, what is the P-value when x = 10.82?(Round your answer to four decimal places.)

(c)What would you conclude at significance level 0.01?

(d)For a test with α = 0.01,what is the probability that recalibration is judged unnecessary when in fact μ = 11.1?(Round your answer to four decimal places.)

(e)For a test with α = 0.01,what is the probability that recalibration is judged unnecessary when in fact μ = 10.9? (Round your answer to four decimal places.)

Answer 1