Asieduwaa Ltd is developing a low calorie lager for the European market with a mean designed calorie count of 43 calories per 100 ml. The new product development team are having problems with the production process and have collected two independent random samples to assess whether the target calorie count is being met (assume the population variables are normally distributed): A B 49.7 39.4 45.9 46.5 37.7 36.2 40.6 46.7 34.8 36.5 51.4 45.4 34.3 38.2 63.1 44.1 41.2 58.7 41.4 47.1 41.1 59.7 45.2 34.5 40.5 43.5 31.9 37.8 41.9 39.7 39.8 41.1 54 33.6 47.8 35.8 26.3 44.6 31.7 38.4 45.1 26.1 47.9 30.7 (a) Construct a point estimate for the calorie count. (b) Construct a 95% confidence interval for the calorie count for A and B. (c) Is it likely that the target average number of calories is being achieved?
Asieduwaa Ltd is developing a low calorie lager for the European market with a
A B
49.7 39.4
45.9 46.5
37.7 36.2
40.6 46.7
34.8 36.5
51.4 45.4
34.3 38.2
63.1 44.1
41.2 58.7
41.4 47.1
41.1 59.7
45.2 34.5
40.5 43.5
31.9 37.8
41.9 39.7
39.8 41.1
54 33.6
47.8 35.8
26.3 44.6
31.7 38.4
45.1 26.1
47.9 30.7
(a) Construct a point estimate for the calorie count.
(b) Construct a 95% confidence interval for the calorie count for A and B.
(c) Is it likely that the target average number of calories is being achieved?
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