10) Boxes of cereal are labeled as containing 14 ounces. Following are the weights of a sample for 12 boxes. Assume that the population is normally distributed. 14.02 14.15 13.97 14.11 14.12 14.10 14.02 13.97 14.05 14.04 14.11 14.12 a) Find the sample variance. Sk 0.0038 b) Construct a 98% confidence interval for the population standard deviation. Use formula & table (make sure to note which table was used and what the inputs were). Round to 2 decimal places. c) The goal of the quality control manager is for the population standard deviation of the weights to be less than 0.1. Based on the confidence interval, is it reasonable to believe that the goal has been met? (remember: to support "less than 0.1" all values in the interval need to be less than 0.1)

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10) Boxes of cereal are labeled as containing 14 ounces. Following are the weights of a sample for
12 boxes. Assume that the population is normally distributed.
14.02
14.15
13.97
14.11
14.12
14.10
14.02
13.97
14.05
14.04
14.11
14.12
a) Find the sample variance.
Sk
0.0038
b) Construct a 98% confidence interval for the population standard deviation. Use
formula & table (make sure to note which table was used and what the inputs were).
Round to 2 decimal places.
c) The goal of the quality control manager is for the population standard deviation of the
weights to be less than 0.1. Based on the confidence interval, is it reasonable to believe
that the goal has been met? (remember: to support "less than 0.1" all values in the
interval need to be less than 0.1)
Transcribed Image Text:10) Boxes of cereal are labeled as containing 14 ounces. Following are the weights of a sample for 12 boxes. Assume that the population is normally distributed. 14.02 14.15 13.97 14.11 14.12 14.10 14.02 13.97 14.05 14.04 14.11 14.12 a) Find the sample variance. Sk 0.0038 b) Construct a 98% confidence interval for the population standard deviation. Use formula & table (make sure to note which table was used and what the inputs were). Round to 2 decimal places. c) The goal of the quality control manager is for the population standard deviation of the weights to be less than 0.1. Based on the confidence interval, is it reasonable to believe that the goal has been met? (remember: to support "less than 0.1" all values in the interval need to be less than 0.1)
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