The quality control department of John Deere measured the length of 100 bolts randomly selected from...

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Statistics

The quality control department of John Deere measured the lengthof 100 bolts randomly selected from a specified order. The meanlength was found to be 9.75 cm, and the standard deviation was 0.01cm. if the bolt lengths are normally distributed, find:
a) The percentage of bolts shorter than 9.74 cm
b) The percentage of bolts longer than 9.78 cm
c) The percentage of bolts that meet the length specification of9.75 +/- 0.02 cm
d) The percentage of bolts that are longer than the nominallength o f9.75 cm
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4.0 Ratings (754 Votes)

Let x The length of boltGiven that x is normally distributed withMean SD Sample size n 100A we want to calculate percentage of bolts shorter than 974 cmie By using Z score we can calcute itWhere For x 974 ie we want to calculate See Answer

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