2. a random sample of 100 observations from a normally distributed population possesses a mean equal to 83.2 and a standard deviation equal to 6.4. (1) find a 95% confidence interval for .

95% confidence interval would be (81.95,84.45).

Step-by-step explanation:

Since we have given that

n = 100

mean = 83.2

Standard deviation = 6.4

So, At 95% confidence interval, z = 1.96

so, interval would be

Hence, 95% confidence interval would be (81.95,84.45).

ok

step-by-step explanation:

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph