A large bakery regularly takes samples of bread in order to ensure that its product meets quality specifications. Each loaf that is sampled is first weighed and weight records of 765 ‘standard’ sliced loaves have accumulated over the last few months. The Quality Control Manager would like these records analysed and has aggregated the data into the following frequency table. Weight Range Number of Loaves 780g below to 790g 34 790g below to 795g 80 795g below to 800g 111 800g below to 805g 162 805g below to 810g 161 810g below to 815g 120 815g below to 820g 70 820g below to 830g 27 (a) Analyse these figures and write a report to the Quality Control Manager. Your analysis should include measures of location and spread of the data. (b) Construct a 99% confidence interval for the mean number of loaves over the last few months.
A large bakery regularly takes samples of bread in order to ensure that its product
meets quality specifications. Each loaf that is sampled is first weighed and weight
records of 765 ‘standard’ sliced loaves have accumulated over the last few months.
The Quality Control Manager would like these records analysed and has aggregated
the data into the following frequency table.
Weight
780g below to 790g 34
790g below to 795g 80
795g below to 800g 111
800g below to 805g 162
805g below to 810g 161
810g below to 815g 120
815g below to 820g 70
820g below to 830g 27
(a) Analyse these figures and write a report to the Quality Control Manager. Your
analysis should include measures of location and spread of the data.
(b) Construct a 99% confidence interval for the mean number of loaves over the
last few months.
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