Reaction times are normally distributed with mean 100 seconds and standard deviation of 10 seconds. a)...

Reaction times are normally distributed with mean 100 seconds and standard deviation of 10 seconds.

a) What is the probability that a randomly chosen individual has reaction time of more than 45 seconds?

b) In a random sample of 36 individuals from the above population of reaction times, what is the probability that the sample mean reaction time is more than 45 seconds

Solutions

Expert Solution

X : reaction times.

X ~ N (100,10)

a).the probability that a randomly chosen individual has reaction time of more than 45 seconds is :-

[ in any blank cell of excel type =NORMSDIST(-5.5)]

b).sample size(n)= 36

the sample mean will follow normal distribution with:-

the probability that the sample mean reaction time is more than 45 seconds is:-

[ in any blank cell of excel type =NORMSDIST(-33)]

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orchestra answered 1 year ago

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