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Sam C.

Elementary Statistics a Step by Step Approach

6 days, 5 hours ago

In this problem, we are given the mean as 60 and the population standard deviation. Sigma has given us 20 point also we are given in as the sample size of 100 point. Next, we want to find the probability that the sample average is over 64 minutes. That is, b x, greater than 64 point. This can be written as 1 minus p x, less than equal to 64 point. Converting it into standard normal variable is z, less than 64 minus the mean which is 60 divided by the sample. Standard deviation will be sigma by root n, 11 minus p, z, less than equal to 4 upon sigmas 20 upon route in us, 10 or 1 minus probability of z less than equal to 2. This comes as .02275. Next, we want to find the probability of its being less than 55 point. This is simply converting into standard coordinate z. This can be thought of as equal also because that is a contemns distribution. This is 55 minus the mean which is 60. The sample standard deviation will be sigma by root 2 or p z less than equal to minus 2.5. This comes as 0.00 siwo point. That'S all!

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