Ask question

Ask question

All categories

VashaNatasha [74]

4 years ago

13

An accounting professor wants to know the average GPA of the students enrolled in her class. She looks up information on Blackbo

ard about the students enrolled in her class and computes the average GPA as 3.29.
a. State whether the following statement is true or false. The population is all students enrolled in the accounting class.
b. Does the value 3.29 represent the population parameter or the sample statistic?

1 answer:

olya-2409 [2.1K]4 years ago

6 0

Answer:

a) True

b) Parameter

Step-by-step explanation:

We are given the following in the question:

An accounting professor wants to know the average GPA of the students enrolled in her class.

Population:

It is defined as the collection of all variables of interest.
A sample of individuals of interest is drawn from a population.

For the given case

Individuals of interest:

Students enrolled in accounting class

Population of interest:

Students enrolled in accounting class

Characteristic of interest:

Average GPA of the students enrolled in her class.

a) The population is all students enrolled in the accounting class.

The given statement is true as it contains all the observation of all the individuals of interest.

b) The computed average GPA of all the students enrolled in the class is 3.29

Statistic is a descriptive measure that describes a sample where as a parameter is a measure that describes the population.

Since 3.29 is the average of all the students enrolled in her class that is the average GPA of population.

Thus, 3.29 is a parameter.

You might be interested in

Geometry . Cosines / sines. Find a and round to the nearest 10th

Lorico [155]

This is the good part of Trigonometry, actually measuring triangles. It's much better than all the identities around sine and cosine and the rest, which actually have more to do with circles than triangles.

This part of trig has a short menu:

Law of Cosines. Three ways to write it, one is $c^2 =a^2+b^2-2ab \cos C$

Law of Sines: $\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

Triangle angles: $A+B+C=180^\circ$

and two special cases of the Law of Cosines, the Pythagorean Theorem

$C=90^\circ, \quad \quad c^2=a^2+b^2$

and the Collinear Points Theorem:

$C=180^\circ, \quad \quad c^2=a^2+b^2 - 2 a b \cos 180^\circ = a^2+b^2+2ab=(a+b)^2$

$c = a+b$

Here we choose Triangle Angles followed by Law of Sines:

A = 180 - 105 -15 = 60 degrees

$\dfrac{a}{\sin 60^\circ}= \dfrac{2}{\sin 105^\circ}$

$a= \dfrac{2 \sin 60^\circ}{\sin 105^\circ} = 1.793...$

Answer: 1.8 cm

When I was a student we'd be expected to get $\sin 105^\circ$ exactly and get

$a = 3 \sqrt{2} - \sqrt 6$

But that was before online homework.

5 0

3 years ago

Fraction form please

pochemuha

Answer:

$\frac{108}{2}$ or $54$

Step-by-step explanation:

Use the volume, I'm guessing, formula, $v=l*w*h$

Convert $4\frac{1}{2}$ to an improper fraction using the rule:

$a\frac{b}{c}=\frac{ac+b}{c}$

$4\frac{1}{2}=\frac{4*2+1}{2}\\ \\\frac{9}{2}$

Multiply

$\frac{9}{2}*\frac{4}{1} *\frac{3}{1}$

Simplify

$\frac{9*4*3}{2*1*1}\\ \\\frac{108}{2}$

Simplify

$\frac{108}{2}=54$

Done.

6 0

3 years ago

Which of the following is the graph of y = sin(0.5x)?

Volgvan

Answer: On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.

Step-by-step explanation:

The function is y = sin(0.5*x)

We know that sin(0) = 0, so this graph must pass trough the point (0,0)

We know that the maximum of the sin(x) is 1, when x = pi/2. and the minimum is -1 when x = (3/2)*pi

but in our case the function is valuated in 0.5*x

then the maximum is when:

0.5*x = pi/2

x = pi/(2*0.5) = pi

and the minimum is when

0.5*x = (3/2)*pi

x = 3*pi

Now, knowing that sin(2*pi) = 0

The other 0 of the sin is when we have 0.5*x = 2*pi

x = 2*pi/0.5 = 4*pi

this means that in 4*pi we have one cycle, then in 8*pi we have tow cycles.

Then the correct option is:

"On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi."

3 0

4 years ago

A bag contains 5 balls: 3 blue, 1 red, and 1 yellow. You select a ball at random 4 times, replacing the ball after each selectio

serg [7]

Answer:

$P(X=3)$

And replacing we got:

$P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756$

Step-by-step explanation:

Let X the random variable of interest "number of times that we select a blue ball", on this case we now that:

$X \sim Binom(n=4, p=3/10)$

The probability is always the same since we replace the ball selected in each trial.

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X=3)$

And replacing we got:

$P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756$

6 0

3 years ago

Find the area of a circle with a diameter of 60 inches

allochka39001 [22]

2827.43 in² should be your answer.

8 0

3 years ago