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
storchak [24]
3 years ago
5

Suppose the parent population has an exponential distribution with a mean of 15 and standard deviation of 12. Use the Central Li

mit Theorem to describe the distribution of when drawing samples of size 30.
Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

Answer:

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population, we have that:

Mean = 15

Standard deviaiton = 12

Sample of 30

By the Central Limit Theorem

Mean 15

Standard deviation s = \frac{12}{\sqrt{30}} = 2.19

Approximately normal

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

You might be interested in
Whats 4.51 x 3.40 please answer!!!!!!!!!!!!!!!!¡!
svet-max [94.6K]
15.334 is the answer hope this helps
3 0
3 years ago
The price that a company charged for a basketball hoop is given by the equation 50-5x^2 where x is the number of hoops that are
Debora [2.8K]
Given:
Profit : 15,000,000
Cost: 30 per basketball hoop
production: 1 million hoops
price: 50 - 5x²

Profit = Sales - Cost
15,000,000 = sales - 30(1,000,000)
15,000,000 + 30,000,000 = sales
45,000,000 = sales

45,000,000 / 1,000,000 = 45 sales price.




3 0
2 years ago
Read 2 more answers
Can someone help me on this for 13 points
nignag [31]

Answer:

look at the picture i have sent

3 0
2 years ago
Read 2 more answers
HELP Sam measures the height of 7 different scoops of ice cream. The mean of the heights was 3.8 cm. Which of the following best
OLga [1]

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm. If all the scoops are evenly distributed, they would all be 3.8 cm tall.

<h3>How to find the mean value of a data set?</h3>

The mean value of the data set is the ratio of the sum of the data set's values to the number of values it has.

If the data set consists of values

x_1, x_2, ..., x_n

, then we get the mean value as:

\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm.

\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}

mean=\dfrac{(a+b+c+d+e+f+g)}{7}

Therefore, If all the scoops are evenly distributed, they would all be 3.8 cm tall.

Learn more about mean;

brainly.com/question/23008823

#SPJ2

8 0
2 years ago
Read 2 more answers
Help please help me out with this (old math)
shutvik [7]
6 7/12 I hope this helps ya out

6 0
2 years ago
Read 2 more answers
Other questions:
  • In a math game rob reads four statements about the number 51. He has to pick up the true statement to win the game. Which statem
    9·1 answer
  • Math To Do in Ready
    11·1 answer
  • Explain your work please
    10·1 answer
  • Dorian bought his dog 7.5 pounds of dog food in a week. He feeds his cat 3.75 pounds of food in a week. How many total pounds of
    15·1 answer
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    5·1 answer
  • Factorizar o descomponer en de FACTORES
    9·1 answer
  • Quick please. 50 points
    7·2 answers
  • Help please!! THANK YOU!
    5·1 answer
  • Simplify 13 &lt; z +5<br> Solve the inequality for z
    14·2 answers
  • The management of an electronics firm has determined that the profit the company earns is a function of thenumber of employees i
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!