Asoccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 inch.

(a) determine the minimum sample size required to construct a 99% confidence interval for the population mean. assume the population standard deviation is 0.25 inch.
(b) repeat part (a) using a population standard deviation of 0.3 inch.
(c) which standard deviation requires a larger sample size

Step-by-step explanation:

Given that a soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 inch.

a) sigma = 0.25

Since population std dev is known we can use Z critical value i.e. 2.58

Hence when sigma =0.25

we get n should be atleast = 41.6025 or 42

b) when sigma = 0.3 we get

n >59.390=60

c) Big std deviation requires larger sample size.

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!