1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dedylja [7]
3 years ago
10

A particular fruit's weights are normally distributed, with a mean of 239 grams and a standard deviation of 23 grams. If you pic

k 25 fruits at random, then 10% of the time, their mean weight will be greater than how many grams
Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

z=1.28

And if we solve for a we got

a=239 +1.28*4.6=244.89

So the value of height that separates the bottom 90% of data from the top 10% is 244.89.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(239,23)  

Where \mu=239 and \sigma=23

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we are interested on a value a such that:

P(\bar X>a)=0.10   (a)

P(\bar X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.90 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P(\bar X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.28

And if we solve for a we got

a=239 +1.28*4.6=244.89

So the value of height that separates the bottom 90% of data from the top 10% is 244.89.  

You might be interested in
If 2 variables have a negative correlation, then the slope of the line of best fit will be ______.
Lana71 [14]
Negative, because Correlation and slope have the same direction (Sxy will be negative)
5 0
3 years ago
Find the y-intercept of the line on the graph.
BARSIC [14]
It's a little hard to see, but I'm almost positive the y intercept is -1.
 
Remember, the y intercept is wherever the line intercepts in the y axis 0.

Good luck my man.
5 0
3 years ago
Read 2 more answers
What is the area of rectangle ABCD?<br> A)12<br> B)14<br> C)16<br> D)18
blagie [28]

Answer:12

Step-by-step explanation:

4 by 3

so 4x3=12

4 0
2 years ago
Read 2 more answers
If Cecilia had $90 could she buy 6 Cds​
kaheart [24]

Answer:

it depends how much the cds cost.

5 0
3 years ago
Read 2 more answers
10 points please help and marked brainlyist
kherson [118]

Answer:

A.

Sample 1 mean: 6.375

Sample 2 mean: 6.375

Sample 3 mean: 6.625

B.

Range of sample means: 0.25

C.

The first and last boxes should be checked, as they are true.

Step-by-step explanation:

To calculate the mean you must add all of the numbers together and then divide the sum by the quantity of numbers. Ex: 3+7+8+3+7+9+6+8 = 51.

51/8 = 6.375.

6 0
1 year ago
Other questions:
  • A train travels at a constant speed of 75 Mi/h. The function f(x) =75x gives the distance that the train travels in x hours grap
    7·1 answer
  • Solve by factoring<br> p² + 16p +64 = 0<br> i like highkey don’t know how to do this
    14·2 answers
  • Write a slope intercept form of the equation of each line
    13·1 answer
  • The average yield of the standard variety off soybeans per acre on a farm in a region is 48.8 bushels per acre, with a standard
    13·1 answer
  • Kathy designed a square patio. She made the sides of the patio 15 feet. What is the area of the patio?
    11·1 answer
  • theband is selling 50 hats for a fundraiser. Each hat is being sold for $12. The hats cost a total of $400. If they sell all of
    9·1 answer
  • Please help ASAP 30 points
    13·1 answer
  • MULTIPLE CHOICE QUESTION
    9·1 answer
  • Here is the problem
    14·2 answers
  • Is the sequence 4, 8, 12, 16, 20, ... a geometric sequence? If it is a geometric sequence, what is the common ratio?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!