6 pts This Quiz:25 pts Acconding to a social media bgtae spent on a certain soci

Question

6 pts This Quiz:25 pts Acconding to a social media bgtae spent on a certain social neng webue has a mean of 17 noemally Gsbued and that the standand deviaton s t Asume hat time spent on the socal Round to three decinal ptaces as needed) (FReound to mvee decimal places as needed) e. If you select a random sample of 100 sessions, what is the probabeny ihat the sampke mean is between 16.5 and 175 Rournd to thee decmal places as needed ) d, Expan lhe dierence in the res 0f (a) and [C than in (aj As me standard errovaues become move concentrated around the mean Therelore. the probabeliny thar ne sample mean wil l regon thar inckdes the pouatio Enter your answer in each of the answer boxes 5 6 7 8

Explanation / Answer

a)

b)

c)

d)

less ; decreases

for normal distribution z score =(X-)/ here mean=       = 17.000 std deviation   == 7 sample size       =n= 25 std error=x=/n= 1.4000 probability = P(16.5<X<17.5) = P(-0.3571<Z<0.3571)= 0.6395-0.3605= 0.2790

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