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
Margarita [4]
4 years ago
13

s the statement below true or​ false? The distribution of the sample​ mean, x overbar​, will be normally distributed if the samp

le is obtained from a population that is normally​ distributed, regardless of the sample size.
Mathematics
1 answer:
Soloha48 [4]4 years ago
8 0

Answer:

True

Step-by-step explanation:

Assume the following

Mean is represented by μ

Standard deviation by σ

Sample mean by x

Sample Size by n

Given that all possible values of a random variable calculated from a sample of size n with a population mean and standard deviation μ and σ, respectively, it's known that the sampling distribution of the sample mean x is its probability distribution.

Having said that, assume that a simple random sample of size n is drawn from a large population with mean μ and standard deviation σ, as stated above.

The sampling distribution of x will be distributed normally as long as the random variable is normally​ distributed.

You might be interested in
Hayden lives in Jefferson City, MO, which has a population of 48, 838. He says Kansas City's population is about
ladessa [460]

Answer:

the awser is d if you round it up

Step-by-step explanation:

8 0
3 years ago
Choose the inequality shown by this diagram
Slav-nsk [51]

Answer:

C: -2<x≤7

Step-by-step explanation:

  • -2<x, as there is an open circle on -2
  • x≤7 as there is a closed circle on 7
  • Put them together, -2<x≤7
3 0
3 years ago
A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th
OlgaM077 [116]

Answer:

Interval [16.34 , 21.43]

Step-by-step explanation:

First step. <u>Calculate the mean</u>

\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666

Second step. <u>Calculate the standard deviation</u>

\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}

\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}

\sigma=\sqrt{17.815}=4.22

As the number of data is less than 30, we must use the t-table to find the interval of confidence.

We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).  

We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

\bar X \pm t\frac{\sigma}{\sqrt n}

where n is the number of observations.

The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43

6 0
3 years ago
How do I solve 6/2 + 8/3
Xelga [282]

Answer:

The solved given fractional expression is \frac{17}{3}

Therefore the given fractional expression becomes

\frac{6}{2}+\frac{8}{3}=\frac{17}{3}

Step-by-step explanation:

Given fractional expression  is  \frac{6}{2}+\frac{8}{3}

To solve the given fractional expression as below :

\frac{6}{2}+\frac{8}{3}

=3+\frac{8}{3}

 =\frac{3\times 3+8}{3}

( here taking the term 3 as LCM )

=\frac{9+8}{3}  ( by adding the sums here )

=\frac{17}{3}

\frac{6}{2}+\frac{8}{3}=\frac{17}{3}

Therefore the solved  given fractional expression  is  \frac{17}{3}

Therefore the  given  fractional  expression becomes  

\frac{6}{2}+\frac{8}{3}=\frac{17}{3}

The solved  given fractional expression  is  \frac{6}{2}+\frac{8}{3}=\frac{17}{3}

7 0
3 years ago
What is the answer to question 1 written as an ordered pair? (5, $5.25)
shusha [124]
11.25,5 maybe I dunno
7 0
4 years ago
Read 2 more answers
Other questions:
  • The density of pure solid copper is 8.94 g/mL. What volume does 5 kg of copper occupy. Please help
    10·1 answer
  • O eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? First Equati
    6·1 answer
  • The height of a diver above the water is given by the quadratic function h(t)= -5t^2+5t+10, with t in seconds and h(t) meters. W
    13·1 answer
  • Which best describes the constant difference for the
    12·1 answer
  • Y=-2(x+1)^2
    11·1 answer
  • . A factory produces 32 tables in an 8-hour day. Calculate how many
    15·1 answer
  • Jocelyn is going to the amusement park, where she has to pay a set price of admission
    13·1 answer
  • A gas tank in a car has a capacity of
    12·1 answer
  • What is it the following a perfect square A49 B121 C75 D64​
    6·1 answer
  • Given that X = 5 cm and Y = 18 cm, work out BAC rounded to 3 SF.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!