a sample of 50 observations is selected the sample mean is 3 a sample of 50 obse

Question

a sample of 50 observations is selected the sample mean is 3 a sample of 50 observations is selected the sample mean is 3 a sample of 50 observations is selected the sample mean is 3 a sample of 50 observations is selected the sample mean is 3 ttps//newconnect.mheducat ml apters 8-11 Help Seve & Majesty Video Production Inc wants the mean length of its advertisements to be 30 seconds ollows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 16 ads Majesty a. What can we say about the shape of the distribution of the sample mean time? b.What is the standard error of the mean time 0

Explanation / Answer

(note: PLEASE revert for the note written on top of question as it is not clear regarding sample size of 50)

a) normal

b)std error=std deviaiton/(n)1/2 =2/(16)1/2 =0.5

c)

P(X>31.25)=P(Z>(31.25-30)/0.5)=P(Z>2.5)=0.62%

d)

P(X>28.25)=P(Z>-3.5)=99.98%
e)

P(28.25<X<31.25)=P(-3.5<Z<2.5)=99.36%

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