Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

Statistics The diameters of grapefruits in a certain orchard are normally distributed with a mean of 7.30 inches and a standard deviation of 0.80 inches. Show all work. (A) What percentage of the grapefruits in this orchard have diameters less than 6.7 inches? (B) What percentage of the grapefruits in this orchard are larger than 7.20 inches? What I have wrote out mean=m=7.30 Standard deviation=s=0.80 (A) what % have diameters less than 6.7 (B) what %are larger than 7.20

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer

SIGN UP FOR FREE
A is asking: P(X<6.7)
B is asking P(X>7.2)
z = (6.7 - mean)/sd

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

6.7-7.30/0.80
good, thats our z score for A
we get a negative and we know that it wants the value of everything to the left of it
.5 - zvalue
zvalue will probably be called a Pvalue later in the book
-0.75
yep
Can we use the bell curve ?
we are .
yes, mathtalk that is what they are all made of (im in statistics-the book says elementary statistics- my first class of it0
somebody show how to proceed here
please
so 0.5000-0.2734(from the table)=
its alot to wrap up form previous posts ... but in a nutshell, you get a zscore and look that up in a table to get a value
then work it into the question to find an answer
.2734 is good, so that should do it for A
B is trickier in that it wants values all to the right of z
same concept, but we have to adjust our thinking a little to accomodate for it
don't we do 0.5000-0.2734?
yes
A is the result of .5 - .2734
for the first one? right.
yep
oh ok, then i have 0.2266
good
so then I write it like this right? P(x<6.7)=0.23
B needs some care taken to it.|dw:1320180861380:dw|
A asks for a % so we gotta rewrite .2266 as 22.66%
*100 .2266*100=22.66%
that looks good to me
ok, on to the second one!
are you still here?
im here
lets figure the z score to get started
ok, I have been having loading problems, so I thought it was me.
ok
P(x>7.2)
wait I am trying to figure it.
z = (7.2-7.3)/.8 .... same process, different numbers
x-mean/stan dev. 7.20-7.30/0.80
-01/0.80 -0.125/0.80 -0.15625
got some typos in there... but your on the right track -.1/.8 = -.125
7.2 - 7.3 = -.1 -.1/.8 = -1/8 = -.125
and then: -0.125/0.80 =-0.15625
no, there is no need to divide it again by .8
ok, i see it. ok next step.
\[z=\frac{x-\bar x}{\sigma}\] \[z=\frac{7.20-7.30}{0.80}\] \[z=\frac{-0.10}{0.80}=-0.125\]
id go with the z=.13 value, but a better result would be that since this is exactly in between .12 and .13 to take the average of the values as well
lets go with -0.13
lets :)
now I go find it in the table.
yep, we need the value for this z to calculate with
0.0517
thats what i got in my table as well
so do we take 0.5000+0.0517?
we do, and you understand why right?
because it is greater, and because it is a positive number
close enough, with more practice it should become better to see it :)
lol, I'm a begginer.
one way to think of it is to get the value to the left and subtract it from the total value under the curve; the total is 1
1 - (value to the left of z) = (value to the right of z)
because the problem is a greater than, so you have to add the left side of the bell with the amount that is greater than the half.
yep, that is a very good way to view it. good job ;)
well thanks for the medal! (medals).
and remember its asking for %
so we get 0.5517
which makes it a 55.17%
good
Ok, I have 2 more questions I need help with, and as I am learning maybe i can do most of the work. So here we go to another question, if your p for it.
im good for it .... :)

Not the answer you are looking for?

Search for more explanations.

Ask your own question