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# (Solved): 6. To assess the accuracy of a laboratory scale, a standard weight known to weigh 10 grams is weighe ...

6. To assess the accuracy of a laboratory scale, a standard weight known to weigh 10 grams is weighed repeatedly. The scale readings are normally distributed with unknown mean (this mean is 10 grams if the scale has no bias). The standard deviation of the scale readings is known to be 0.01 gram. The weight is weighed five times.The following R output summarises the results. summary (scales)Min. 1st Qu. Median Mean 3rd Qu. Max.9.995 10.000 10.010 10.010 10.020 10.020(a) Carry out a hypothesis test to determine whether the average of the scale readings is 10 g.(b) Calculate a 95% Confidence Interval for the true mean of the weight as measured by the scale and interpret the interval.(c) Do your results from parts (a) and (b) agree? Explain.

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