All categories

2 years ago

If population function x has mean M(x)=2 and M(x²)=8, find its standard deviation

Mathematics

1 answer:

sasho [114]2 years ago

6 0

The standard deviation of the population function is 2

<h3>How to determine the standard deviation?</h3>

The given parameters are:

M(x) = 2

M(x²)=8

The standard deviation is calculated using:

$\sigma = \sqrt{M(x^2) - (M(x))^2$

Substitute known values

$\sigma = \sqrt{8 - 2^2$

Evaluate the expression

$\sigma = 2$

Hence, the standard deviation of the population function is 2

Read more about standard deviation at:

brainly.com/question/15858152

#SPJ1

You might be interested in

WHATS THREE FOURTHS TIMES FIVE SEVENTHS?

schepotkina [342]

3/4 * 5/7 = 15/28 or 0.5357

8 0

4 years ago

Read 2 more answers

Tina wants to save money for school. Tina invests $1,100 in an account that pays an interest rate of 7.25%. How many years will

svlad2 [7]

The amount of Tina money can be expressed in an exponent function like this:
an= $1100(1.0725)^n
The variable an represent the total money and variable n is the years needed to achieve that amount.

Then, the time needed for the money to reach $6,600 would be:

an= $1100(1.0725)^n
$6,600= $1100(1.0725)^n
$1,100(6)= $1100(1.0725)^n
6= (1.0725)^n
n= log1.075 6
n= 24.78

7 0

4 years ago

How do I solve this word problem?

OleMash [197]

The answer is A, or 13 because .03 + .03 = .06 and .32-.06=.26.0.26/.02 =13.

7 0

3 years ago

Simplify and solve each equation for the x

Olegator [25]

Answer:

19y - 7y = 1 + 4(x+2x)

y = 1/12 + x

x = y - 1/12

I hope this helps!

8 0

3 years ago

26. Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics

hjlf

The test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

<h3>What are null hypotheses and alternative hypotheses?</h3>

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics course.

Then they are given a post-test once the professor has concluded lecturing on the material.

Pre-test and post-test scores for 4 students in an elementary statistics class are given below.

Then we have

$\mu _d = \mu _{post} - \mu _{pre}$

Then the null hypotheses and alternative hypotheses will be

H₀: $\mu _d = 0$

Hₐ: $\mu _d > 0$

Then the test statistic will be

$\rm \overline{x} _d = \dfrac{\Sigma x_d}{n} = \dfrac{15+12+10+1}{4}\\\\\overline{x} _d = 9.5$

Then

$\rm S_d = 6.02$

The test statistic value is given by

$\rm t = \dfrac{\overline{x} _d }{\dfrac{S_d}{\sqrtn}} \\\\t = \dfrac{9.5}{\dfrac{6.02}{\sqrt4}}\\\\t = 3.16$

Since this is a right-tailed test, so the critical value is given by

$\rm t_{n-1}(\alpha ) = t_3 (0.05) = 2.353$

Since the test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

Hence, we can conclude that $\mu _d > 0$ that is test scores have improved.

More about the null hypotheses and alternative hypotheses link is given below.

brainly.com/question/9504281

#SPJ1

7 0

2 years ago

If population function x has mean M(x)=2 and M(x²)=8, find its standard deviation​

If population function x has mean M(x)=2 and M(x²)=8, find its standard deviation