Question
In: Statistics and Probability
An interval estimate for the average distance car tyres lasted during their "lifetime" was reported to...
An interval estimate for the average distance car tyres lasted during their "lifetime" was reported to be 34578 kilometres to 38512 kilometres. This interval estimate was based on a sample of 46 tyres. The variance of the lifetime was determined from previous studies to be 48512333 km squared. What level of confidence can be attributed to this interval estimate? State your answer as a percentage, correct to the nearest whole number.
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Expert Solution
Answer:-
Given that:-
An interval estimate for the average distance car tyres lasted during their "lifetime" was reported to be 34578 kilometres to 38512 kilometres. This interval estimate was based on a sample of 46 tyres. The variance of the lifetime was determined from previous studies to be 48512333 km squared. What level of confidence can be attributed to this interval estimate?
Let 
be the mean and S be the standard deviation
Let Z be the critical normal distribution value for the given
confidence interval 
36545+1026.9494Z=38512
Z=1.9154
The area above Z = P(Z>1.9154)=0.0274
2(0.0274) = 0.054
1-0.054=0.946
This is a 94% confidence interval 95% approximately.
orchestra answered 2 years agoRelated Solutions
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21,885.00
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32,360.00
23,730.00
22,035.00
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84
80
73
89
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89
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52
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