Question

The calibration of a scale is to be checked by weighing a 11 kg test specimen...

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.

(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.)

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Answer #1

Given the sample size and sample mean , population standard deviation .

Here . Since the population standard deviation is not known, we use t-distribution.

The hypotheses are

The test statistic is

The p-value is

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