A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 165g of protein in each package. A sample of n = 15 packages are taken, and the amounts of protein measured (in grams) are: 162.5, 157.1, 158.6, 157.5, 162.7, 166.2, 167.0, 158.2, 157.8, 159.0, 158.5, 158.5, 155.5, 156.1, 161.4. (a) Estimate the true mean of protein in a package. (b) Find a 95% confidence interval for the true mean of protein in a package. (c) You go to the shops to buy one of these prepackaged meals. Calculate an interval which contains (with 95% probability) the amount of protein in your package.
A consumer group is investigating a producer of diet meals to examine if its prepackaged meals
actually contain the advertised 165g of protein in each package. A sample of n = 15 packages
are taken, and the amounts of protein measured (in grams) are:
162.5, 157.1, 158.6, 157.5, 162.7, 166.2, 167.0, 158.2, 157.8, 159.0, 158.5, 158.5, 155.5,
156.1, 161.4.
(a) Estimate the true
(b) Find a 95% confidence interval for the true mean of protein in a package.
(c) You go to the shops to buy one of these prepackaged meals. Calculate an interval
which contains (with 95% probability) the amount of protein in your package.
(d) Based on the results of this sample, we wish to commission a larger study to
estimate the true mean of protein in a package. If we want a 95%
total width at most 1g, what
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