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26. A machine fills boxes of cereal in a factory. The average weight of cereal in...
A machine fills boxes of cereal in a factory. The average weight of cereal in a...
A machine fills boxes of cereal in a factory. The average weight of cereal in a random sample of 17 boxes is calculated to be 350 grams and the sample standard deviation is calculated to be 8 grams. Weights of cereal per box are known to follow a normal distribution. We calculate a 90% confidence interval for the true mean weight of cereal per box. The margin of error for the appropriate confidence interval is:
A random sample of 100 boxes of cereal had a sample mean weight of 396 grams....
A random sample of 100 boxes of cereal had a sample mean weight of 396 grams. The standard deviation is known to be 5 grams. The upper end of the confidence interval for the mean is 405.8 grams. True or False?
Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights,...
Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 12 boxes. It is reasonable to assume that the population is approximately normal. 13.03 14.98 13.12 13.13 13.11 13.03 13.16 14.98 13.06 13.05 13.12 13.13 2. Sand data Part: 0/2 WS Part 1 of 2 (a) Construct a 95% confidence interval for the mean weight. Round the answers to at least three decimal places. A 95% confidence interval...
A machine fills cereal boxes. Each box is to contain 525 grams. The machine is considered to be w...
A machine fills cereal boxes. Each box is to contain 525 grams. The machine is considered to be working properly if in a production run the machine fill value is 525 grams. To check it the machine is working properly each day, a sample of the boxes (size n=12 boxes) of that day's production is selected. The way the machine works is that it is very unlikely to under fill by much, so the main concern is that the machine...
A quality control process for boxes of cereal production measures the weight of a box of...
A quality control process for boxes of cereal production measures the weight of a box of cereal. The population standard deviation is known to be .0911 ounces. In order to achieve a 96% confidence with a margin of error of .02 ounces, how many boxes of cereal should be sampled? Report your answer as a whole number. Answer: n = boxes
Boxes of cereal are labeled as containing 14 ounces. Find the 95% confidence interval for population...
Boxes of cereal are labeled as containing 14 ounces. Find the 95% confidence interval for population variance of the weight in boxes if a sample of 12 boxes has a standard deviation of .06 oz. (please show work of calculation)
A packaging system fills boxes to an average weight of 19 ounces with a standard deviation...
A packaging system fills boxes to an average weight of 19 ounces with a standard deviation of 0.4 ounce. It is reasonable to assume that the weights are normally distributed. Calculate the 1st, 2nd, and 3rd quartiles of the box weight. (You may find it useful to reference the z table. Round "z" value to 3 decimal places and final answers to 2 decimal places.)
A packaging system fills boxes to an average weight of 15 ounces with a standard deviation...
A packaging system fills boxes to an average weight of 15 ounces with a standard deviation of 0.7 ounce. It is reasonable to assume that the weights are normally distributed. Calculate the 1st, 2nd, and 3rd quartiles of the box weight. (You may find it useful to reference the z table. Round " value to 3 decimal places and final answers to 2 decimal places.) 1st quartile 2nd quartile 3rd quartile
A machine that is programmed to package 5.60 pounds of cereal is being tested for its...
A machine that is programmed to package 5.60 pounds of cereal is being tested for its accuracy. In a sample of 100 cereal boxes, the sample mean filling weight is calculated as 5.69 pounds. The population standard deviation is known to be 0.09 pound. [You may find it useful to reference the z table.] a-1. Identify the relevant parameter of interest for these quantitative data. The parameter of interest is the proportion filling weight of all cereal packages. The parameter...
4. A factory manager collected a sample of 10 packets of 3-in-1 coffee and the weights...
4. A factory manager collected a sample of 10 packets of 3-in-1 coffee and the weights (in grams) of each packet are recorded as follow: 25 23 26 28 24 21 26 24 25 27 Calculate (i) the mean weight of a packet of 3-in-1 coffee. [2 marks] (ii) the sample standard deviation of the data collected. [4 marks] (iii) find a 90% confidence interval for the weights of the 3-in-1 coffee. [4 marks]
Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 12 boxes. It is reasonable to assume that the population is approximately normal. 13.03 14.98 13.12 13.13 13.11 13.03 13.16 14.98 13.06 13.05 13.12 13.13 2. Sand data Part: 0/2 WS Part 1 of 2 (a) Construct a 95% confidence interval for the mean weight. Round the answers to at least three decimal places. A 95% confidence interval...
A packaging system fills boxes to an average weight of 15 ounces with a standard deviation of 0.7 ounce. It is reasonable to assume that the weights are normally distributed. Calculate the 1st, 2nd, and 3rd quartiles of the box weight. (You may find it useful to reference the z table. Round " value to 3 decimal places and final answers to 2 decimal places.) 1st quartile 2nd quartile 3rd quartile
4. A factory manager collected a sample of 10 packets of 3-in-1 coffee and the weights (in grams) of each packet are recorded as follow: 25 23 26 28 24 21 26 24 25 27 Calculate (i) the mean weight of a packet of 3-in-1 coffee. [2 marks] (ii) the sample standard deviation of the data collected. [4 marks] (iii) find a 90% confidence interval for the weights of the 3-in-1 coffee. [4 marks]
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