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manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years,...

manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years, and standard deviation of 2.3 years. If you randomly purchase 8 items, what is the probability that their mean life will be longer than 6 years?

Math   Statistics-And-Probability   
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Answer #1

sample size (n)= 8 < 30..but the sample is from a normal population..so we can say that the sample mean will follow a normal distribution with:-

the probability that their mean life will be longer than 6 years is :-

[ in any blank cell of excel type =NORMSDIST(-2.9513) ]

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.

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