Suppose that
42% of students of a high school play video games at least once a month. The computer programming club takes an SRS of
30
students from the population of
792
students at the school and finds that
40
%
of students sampled play video games at least once a month. The club plans to take more samples like this.
Let
p
^
p
^

p, with, hat, on top represent the proportion of a sample of
30
3030 students who play video games at least once a month.
What are the mean and standard deviation of the sampling distribution of
p
^
p
^

p, with, hat, on top?

may i see the picture? it would a lot, xox

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.