At a high school with over 500 students, a counselor wants to estimate the mean number of hours per week that students at the school spend in community service activities. The counselor will survey 20 students in the Environmental Club at the school. The mean number of hours for the 20 students will be used to estimate the population mean. Which of the following conditions for inference have not been met?

1. The data are collected using a random sampling method.
2. The sample size is large enough to assume normality of the distribution of sample means.
3. The sample size is less than 10 percent of the population size.

Answers

Answer 1

Complete option:

The sample size is less than 10 percent of the population size. A. II onlyB. III onlyC. II and III onlyD. I, II, and III

Answer:

D.) I, II, and III

Step-by-step explanation:

The sample are not well randomly selected as the samples were only selected from a single source, the environmental club in the school.

Similarly only 20 samples were chosen, these 20 samples are not enough to assume normality as the minimum number of samples required to assume normality according to the Central limit theorem is 30 samples or more.

10% of the population size is :

Population size = 5000

0.10 * 5000 = 500 samples

Hence, sample size used is less than 10% of population size.


Related Questions

How do u convert kilometres into minutes
Example 0.8kilometer what till ut b in minutes woukd u times by 70

Answers

Answer:

It is not possible

Step-by-step explanation:

Given

0.8km

Required

Convert to minutes

In conversion, only units of the same metric can be converted.

i.e.

You can convert meters to miles (they both measure distance)

You can convert seconds to hours (they both measure time)

You can convert kilogram to pounds (they both measure weight)

But in the given question, you attempt to convert from distance to time.

This is not possible, because time and distance are different measurements

-3 < 5 true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:

true?

Step-by-step explanation:

if f(x) = 2x+6 and g(x) = x(3) , what is (g0f)(0)

Answers

Answer:

(g0f)= (2x0+6 x 0x3)= 8x3= 24

Step-by-step explanation:

I'm not sure

:) sorry

Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. How much was the commission?

Answers

Answer:

3.67

Step-by-step explanation:

Because, 9% is literally just 9/100

and when you multiply that by 245 then you get 3.67

find the missing side of each triangle using the pythagorean theorem

Answers

Answer:

x=5

Step-by-step explanation:

The pythagorean theorem stats a^2+b^2=c^2. We are already given the values of the two legs of the triangle so we need to solve for the length of the hypotenuse (the longest part of the triangle). To do so, you put in 3 and 4 as a and b so you get 3^2+4^2=c^2. After squaring both numbers you get 16+9=c^2. Then you add 16 and 9 to get 25=c^2. To get rid of the power of 2, we square root both sides to get rid of the exponent. Since 25 is a perfect square, you get c=5 which means that the x value eqals 5.

Which equation has a slope of –2 and passes through the point (5, 0)?
A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10

Answers

Answer:

D. y = –2x + 10  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].  

Since [tex]m[/tex] represents the slope, substitute -2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:

[tex]y - 0 = -2(x-5)\\y = -2(x-5)[/tex]

2) Expand the right side of the equation to find the answer:

[tex]y = -2(x-5)\\y = -2x+10[/tex]

So, option D is correct.

The effect of the time of day a science class is taught on test scores is being
studied in an experiment. Which of these is most likely to be an extraneous
factor that could also affect test scores?
A. Student clothing
B. Color of the school hallways
C. Principal of the school
D. Length of class period

Answers

Answer:D

Step-by-step explanation:

The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

What is a test analysis?

A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.

Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.

The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.

Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

To know more about a test analysis follow

https://brainly.com/question/22516544

#SPJ2

A random sample of 388 married couples found that 294 had two or more personality preferences in common. In another random sample of 566 married couples, it was found that only 38 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.

Answers

Solution :

Given :

[tex]$n_1=388$[/tex] , [tex]$x_1 = 294, \ n_2 = 566, \ x_2 = 38$[/tex]

Sample proportion, [tex]$(\hat p_1)=\frac{x_1}{n_1}$[/tex]

                                        [tex]$=\frac{294}{388}$[/tex]

                                       = 0.7577

Sample proportion, [tex]$(\hat p_2)=\frac{x_2}{n_2}$[/tex]

                                        [tex]$=\frac{38}{566}$[/tex]

                                       = 0.0671

For 95 % CI, z = 1.96

The confidence interval for the population proportion,

[tex]$p_1-p_2=(\hat p_1-\hat p_2)\pm z \left\{\sqrt{\frac{\hat p_1 \times (1- \hat p_1)}{n_1}+\frac{\hat p_2 \times (1- \hat p_2)}{n_2}}\right\}$[/tex]

           [tex]$=(0.7577-0.0671)\pm 1.96 \left\{\sqrt{\frac{0.7577 \times (1- 0.7577)}{388}+\frac{0.0671 \times (1- 0.0671)}{566}}\right\}$[/tex]

[tex]$=0.6906 \pm 1.96 \times \left 0.0241$[/tex]

= [tex]$0.6906 \pm 0.0472 $[/tex]

Lower limit : 0.6906 - 0.0472 = 0.6434

Upper limit : 0.6906 + 0.0472 = 0.7378

x2 - 3|x - 2| - 4x = - 6
Solve for x

Answers

Answer:

if that is x^2 -3|x-2|-4x=-6, then this should be the answer other wise it would be a biiiit diffrent

Step-by-step explanation:

Simplify :
4a(6) + 3a

1. 24 a2 + 3 a
2. 13 a
3. 27 a
4. 27 a2

Answers

Answer:

Hi! The answer to your question is 3. 27a

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

3

Step-by-step explanation:

Bodmas brakets first

Take out Common factor

Multiple

Calculate the exact value of cos(a−b) given that sin a=12/13 with π/2

Answers

Answer:

Step-by-step explanation:

[tex]sin ~a=\frac{12}{13} ,\frac{\pi}{2} <a<\pi\\a ~is~in~2nd~quadrant.\\sin~b=\frac{3}{5} ,0<b<\frac{\pi}{2} \\b~is~in~1st~quadrant.\\cos~b=\sqrt{1-sin ^2b} \\=\sqrt{1-(\frac{3}{5} )^2} \\=\sqrt{\frac{25-9}{25} } \\=\sqrt{\frac{16}{25} } \\=\frac{4}{5} ,\\cos~a=-\sqrt{1-sin^2 a} \\=-\sqrt{1-(\frac{12}{13} )^2} \\=-\sqrt{\frac{169-144}{169} } \\=-\sqrt{\frac{25}{169} } \\=-\frac{5}{13} \\cos(a-b)=cos~acos~b+sin~a sin~b\\=\frac{-5}{13}* \frac{4}{5} +\frac{12}{13}* \frac{3}{5} \\=?[/tex]

i neeed help and quick its due at 3:15

Answers

Answer:

it c

Step-by-step explanation:

a. find the area

b. find the perimeter​

Answers

Answer:

Area= 4y^2 + 14y + 12

Perimeter = 10y + 16

Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

Perimeter of a rectangle = 2 × (a +b)

= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

4b + 8c + 12 – 8b – 2c + 6.

Answers

The answer to the question is -4b+6c+18

Plz help me well mark brainliest If Correct

Answers

You would have to begin at (2,4) to reach (5,6)

this as well, pleasee!!!

Answers

The inner circle circumference is 18 and the outer is 4

Answer:

the big one has a circumstance of 2*pi*9=56.52

the small one 2*pi*7=43.96

difference = 12.56= 4pi

A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth. Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

44

CAN SOMEONE PLEASE ANSWER THIS QUICKLY I DONT GOT TIME​

Answers

Answer:

6) 5(1/3)

7) 5(1/3)

8) 3(3/5) or 18/5

because answer were cut off

Answer:

7) 5 [tex]\frac{1}{3} \\[/tex]

8) 5 [tex]\frac{1}{3}[/tex]

9) 3 [tex]\frac{3}{5}[/tex]

hope it is right, just use your calculator

[need math help] Study buddies part #2

Answers

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

[tex]\displaystyle \text{Displacement}=\int_a^bv(t)\, dt[/tex]

Where v(t) is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

[tex]\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt[/tex]

To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

[tex]\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt[/tex]

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

[tex]\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}[/tex]

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

[tex]\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}[/tex]

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

[tex]\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}[/tex]

However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

[tex]\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}[/tex]

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

[tex]\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt[/tex]

In other words, all of our values are now positive. We will utilize the same strategy:

[tex]\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt[/tex]

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

[tex]\displaystyle \text{Distance} =5.6+1.5+2.4=9.5[/tex]

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

what will happen if joe Biden raises tax rate like what
effect will that have on the economy

Answers

the economy goes down and it will be bad

Sally owns 145 shares of stock in a property management company. The current price of the stock is $42.17 per share. If the price of the stock decreases to $35.94 in the next month, how much did the value of Sally's shares decrease over the month?
○ $903.35
○ $947.68
○ $925.78
○ $968.55​

Answers

Mostly the answer is $925.78

Please check it more

Answer:

903.35

Step-by-step explanation:

sorry if im wrong

(hope this helps can i plz have brainlist :D hehe)

can someone please help me

Answers

Answer:

B

Step-by-step explanation:

minimum = 1

first quartile = 12

median = 6

third quartile = 16

maximum = 19

There are 5 yellow pens 6 blue pens 9 green pens she picks 1 at random and does not replace it then she picks another pen

Answers

What’s the question here?

Question 5 of 10
Which system of inequalities is graphed below?
5
O A. y

Answers

Answer:

you did not send the graph-_-

Step-by-step explanation:

Need help with linear function

Answers

Answer:

y = 1/2x + 2

Step-by-step explanation:

The correct choice is the first one

The drawing below shows a side view of a picture frame on Mary's desk support 16 4.2 which of the following is the closest to the length of the frame support

Answers

Answer:

17 cm

Step-by-step explanation:

Math STAAR Readiness 8 grade Quiz: The drawing below shows a side view of a picture frame on Mary’s desk.  Closest to the length of the frame support.

Answer:

17 or D

Step-by-step explanation:

a^2+b^2=c^2

4.2^2+16^2=c^2

17.64+25.6=c^2

c^2=273.64

c=√273.64

c=16.5 which can be rounded up to 17 or D

and I am reviewing for the math staar.

PLEASE ANSWER ASAP !!! 90 POINTS AND BRAINLIEST!!!!!!!
( -5) + (+8) =
(+5) + (+4) =
( -3) + (+1) =
( -8) + ( -7) =
( -6) + (+3) =

Answers

Answer:

-5+8=-3

5+4=9

-3+1=-2

-8+-7=-15

-6+3=-3

Answer:

( -5) + (+8) = 3

(+5) + (+4) = 9

( -3) + (+1) = - 2

( -8) + ( -7) = - 15

( -6) + (+3) = 7

y-step explanation:

hope this helps!! and is it right? and make me brainliest pleaseee

Simplify and write answer in standard form.

Answers

Step-by-step explanation:

2x^3 - 10x^2 + 8x -3

hope this helps

Jason bought 12 new CDs to add to his
collection. The next day, his baby
brother went into his room and
scratched half of his CDs. He now only
has 56 working CDs left. How many
CDs did Jason start with?

Answers

Answer:

He had origanlly had 68 altogether

Step-by-step explanation:

Because if u count the scrateched ones which was 6 is now 62 then add the other six because there was 12 and his brother scrateched half which is basically 12 / 2 = 6 so if u add the six is 68

What Im basically saying is 56 + 12 = 68

433.54 in terms of pi​

Answers

Answer:

138.0700636942675[tex]\pi[/tex]

Step-by-step explanation:

7.5667004391


Is the answer


433.54 x π/180.
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