4. You collected data from a normally distributed random process. Your computed sample mean is 12 using 15 measurements, but you know the population standard deviation exactly and it is 1.25. Define a prediction interval that you are 80% sure will encompass the next sample. NOTE: Since you have the population standard deviation, you need to find a "z" value instead of a "t" value on this problem.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4. You collected data from a normally distributed random process. Your computed sample mean is 12 using
15 measurements, but you know the population standard deviation exactly and it is 1.25. Define a
prediction interval that you are 80% sure will encompass the next sample. NOTE: Since you have the
population standard deviation, you need to find a "z" value instead of a "t" value on this problem.
5. You have made 7 measurements of the length of a bolt using a ruler as shown in the table. You think
that you might have made one or more bad measurements. Apply Chauvenet's criterion to eliminate any
"bad" data point(s) and calculate a mean and sample standard deviation that excludes those values.
Reading Measured Value (cm)
12.1
11.7
12.5
14.2
11.8.
12.3
11.3
1
2
3
4
5
6
7
Transcribed Image Text:4. You collected data from a normally distributed random process. Your computed sample mean is 12 using 15 measurements, but you know the population standard deviation exactly and it is 1.25. Define a prediction interval that you are 80% sure will encompass the next sample. NOTE: Since you have the population standard deviation, you need to find a "z" value instead of a "t" value on this problem. 5. You have made 7 measurements of the length of a bolt using a ruler as shown in the table. You think that you might have made one or more bad measurements. Apply Chauvenet's criterion to eliminate any "bad" data point(s) and calculate a mean and sample standard deviation that excludes those values. Reading Measured Value (cm) 12.1 11.7 12.5 14.2 11.8. 12.3 11.3 1 2 3 4 5 6 7
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