Question

A can of Coke is supposed to contain, on the average, 16 ounces of soda with a standard deviation of 0.4 ounces. Suspecting fraud, you take a random sample of 50 cans and measure the amount of Coke in each. Your measurements show that the 50 cans had a means 15.9 ounces. What is the probability of a random sample of 50 cans having a mean of 15.9 ounces of soda or less?

Answer 1

is this the 1 you want help on?

Answer 2

yes

Answer 3

alright, lets see what we got...

Answer 4

what grade is this?

Answer 5

12th

Answer 6

alright thanks.

I believe we need to find the z score, and use a z table, do you have those

Answer 7

yes

Answer 8

rad, ok, calculate the z score then with the numbers they gave us

Answer 9

calculate 16+50+15.9=71.90

Answer 10

i was thinking this equation

\[z = \frac{ x-\upsilon }{ \sigma }\]

Answer 11

x = the mean of sample data set
u = the mean of ALL data
sigma = the standard deveiation

Answer 12

z=16-71.9/0.4

Answer 13

or is it 16-15.9/0.4

Answer 14

16-15.9/0.4 this one

Answer 15

wait, the 16 and 15.9 are backwards

its
(15.9-16)/0.4

Answer 16

-24.1

Answer 17

close, in math you have to do ( ) then divide

do this first:
(15.9-16)

Answer 18

(15.9-16)=-0.1

Answer 19

yep, then do

-0.1/0.4

Answer 20

sorry (15.9-16)/0.4=0.25

Answer 21

(15.9-16)/0.4=-0.25

Answer 22

good, now look on your z table and find the value for -0.25

Answer 23

I met -0.25

Answer 24

find the probability by taking you z score value of -0.25 and taking the numbers like this on the graph