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It is desired to check the calibration of a scale by weighing a standard 10-gram weight 100 times. Let μ be the population mean reading on the scale, so that the scale is in calibration if μ = 10 and out of calibration if μ ≠ 10. A test is made of the hypotheses H0 : μ = 10 versus H1 : μ ≠ 10. Which of the three conclusions is best if H0 is rejected?

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Complete question :

It is desired to check the calibration of a scale by weighing a standard 10 g weight 100 times. Let µ be the population mean reading on the scale, so that the scale is in calibration if µ = 10. A test is made of the hypotheses H0:µ = 10 versus H1:µ ≠ 10. Consider three possible conclusions: (i) The scale is in calibration, (ii) The scale is out of calibration, (iii) The scale might be in calibration.

Which of the three conclusions is best ifH0 is rejected?

Answer:

The scale is out of calibration

Step-by-step explanation:

The null hypothesis ; H0

H0 : μ = 10 ; if this hold true, then the scale is in calibration

Alternative hypothesis ; H1

H1 : μ ≠ 10 ; if this holds true, then the scale is out of calibration

If the Null hypothesis, H0 is rejected, it means that, there is significant evidence to support the alternative hypothesis ; that the scale is out of calibration.

Hence, the best conclusion is that, the scale is out of calibration.

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