You are considering relaxing your control requirements that determine what is acceptable quality; you have been...

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You are considering relaxing your control requirements thatdetermine what is acceptable quality; you have been using a 99.0%confidence interval but want to begin using a 97.5% confidenceinterval.
Your team has collected the following data from 4 samples of 7observations each. The calculated standard deviation is 13.981.
Sample 1 Sample 2 Sample 3 Sample 4
Obs 1 392.2 415.1 413.6 399.7
Obs 2 392.3 408.1 394.9 402.3
Obs 3 405.4 428.6 410.1 400.6
Obs 4 410.3 398.2 410.8 427.6
Obs 5 423.3 403.3 423.2 385.8
Obs 6 413.9 421.1 402.7 431.0
Obs 7 426.7 433.5 385.8 405.9
What is the UCL for the mean given the new confidence intervalof 97.5%? (Keep one decimal point in your answer)

Answer & Explanation Solved by verified expert

3.7 Ratings (455 Votes)

Following table highlights average values of each sample consisting of 4 samples Average value of each sample Sum of 7 observations 7 Sample 1 Sample 2 Sample 3 Sample 4 See Answer

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	Sample 1	Sample 2	Sample 3	Sample 4
Obs 1	392.2	415.1	413.6	399.7
Obs 2	392.3	408.1	394.9	402.3
Obs 3	405.4	428.6	410.1	400.6
Obs 4	410.3	398.2	410.8	427.6
Obs 5	423.3	403.3	423.2	385.8
Obs 6	413.9	421.1	402.7	431.0
Obs 7	426.7	433.5	385.8	405.9