8. The lengths of bolts produced in a certain factory may be taken to be normally distributed. The bolts are checked on two 'go-no go' gauges so that those shorter than 2.983 in. or longer than 3.021 in. are rejected as 'too-short' or 'too-long' respectively. A random sample of N 300 bolts is checked. If they have mean length 3-007 in. and standard deviation 0-011 in, what values would you expect for n₁, the number of "too-short' bolts and n₂, the number of 'too-long' bolts? A sample of N for this sample we find n, 600 bolts from another factory is also checked. If 20 and ₂ 15, find estimates for the mean and standard deviation of the length of these bolts, 1 = 1

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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8. The lengths of bolts produced in a certain factory may be taken to be
normally distributed. The bolts are checked on two 'go-no go' gauges
so that those shorter than 2-983 in. or longer than 3-021 in. are rejected
as 'too-short' or 'too-long' respectively.
A random sample of N
300 bolts is checked. If they have mean
length 3-007 in. and standard deviation 0-011 in., what values would
you expect for n₁, the number of 'too-short' bolts and n₂, the number of
'too-long' bolts?
=
1
A sample of N = 600 bolts from another factory is also checked. If
for this sample we find n₁
20 and ₂
15, find estimates for the
mean and standard deviation of the length of these bolts.
Transcribed Image Text:8. The lengths of bolts produced in a certain factory may be taken to be normally distributed. The bolts are checked on two 'go-no go' gauges so that those shorter than 2-983 in. or longer than 3-021 in. are rejected as 'too-short' or 'too-long' respectively. A random sample of N 300 bolts is checked. If they have mean length 3-007 in. and standard deviation 0-011 in., what values would you expect for n₁, the number of 'too-short' bolts and n₂, the number of 'too-long' bolts? = 1 A sample of N = 600 bolts from another factory is also checked. If for this sample we find n₁ 20 and ₂ 15, find estimates for the mean and standard deviation of the length of these bolts.
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