A professor is interested in comparing the characteristics of students who do and do not vote in elections. For a random sample of 114 students who claimed to have voted in the last presidential election, she found a mean CPA of 2.71 and a standard deviation of 0.64. For an independent sample of 123 students who did not vote, the mean CPA was 2.79 and the standard deviation was 0.56. Test at the 5% level of significance if the mean CPA of all students who vote is lower than the CPA of students who do not vote.

Answers

Answer 1

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote

Step-by-step explanation:

From the question we are told that

       The first sample size  is  [tex]n_1 =  114[/tex]

       The sample mean is  [tex]\= x_1 =  2.71[/tex]

       The standard deviation is  [tex]s_1 =  0.64[/tex]

      The second sample size is   [tex]n_2 =  123 [/tex]

      The sample mean is   [tex]\= x_2 =  2.79[/tex]

      The level of significance is  [tex]\alpha  =  0.05[/tex]

      The standard deviation is   [tex]s_2 =  0.56 [/tex]

The null hypothesis is  [tex]H_o  :  \mu_1 = \mu _2[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 <  \mu_2[/tex]

Generally the test hypothesis is mathematically represented as

      [tex]t =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2}  } }[/tex]

=> [tex]t =  \frac{2.71 - 2.79}{ \sqrt{ \frac{0.64^2 }{ 114} + \frac{0.56^2}{123}  } }[/tex]

=> [tex]t =  -1.01 [/tex]

Generally given that variance are not equal (the standard deviation  squared of both population are not equal ) the degree of freedom  is mathematically represented as

[tex]df  =  \frac{[\frac{s_1^2}{n_1 } + \frac{s_2^2}{n_2}  ]}{\frac{[\frac{s_1^2}{n_1}]^2 }{n_1 - 1} + \frac{[\frac{s_2^2}{n_2}]^2 }{n_2 - 1}}[/tex]

=>  [tex]df  =  \frac{[\frac{0.64^2}{114} + \frac{0.56^2}{123}  ]}{\frac{[\frac{0.64^2}{114}]^2 }{114 - 1} + \frac{[\frac{0.56^2}{123}]^2 }{123 - 1}}[/tex]

=>  [tex]df  =  225[/tex]

Generally from the t distribution table the the probability of  (t < -1.01) at a degree of freedom of [tex]df  =  225[/tex]is  

      [tex] p-value  = P(t <  -1.01 ) =  0.15679[/tex]

Generally the value obtained we see that  [tex]p-value  > \alpha[/tex] so

The decision rule is

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote


Related Questions


Helppppppp plzzzzzzzzzxzxzmfyfdtidt

Answers

Answer:

y=7

Step-by-step explanation:

Distribute: 9y-4y-4=31

Add like terms: 5y-4=31

Isolate: 5y=35

Divide each side by 5: y=7

ANSWER: y=7

Hope this helps

The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys

Answers

Answer:

The mean of the remaining 3 boys is 51.

Step-by-step explanation:

The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:

[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)

([tex]p_{10} = 58[/tex])

[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)

Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.

In addition, we know the following mean marks from statement:

[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)

([tex]p_{7} = 61[/tex])

[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)

[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)

Where:

[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.

[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.

By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:

[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]

[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]

[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]

[tex]3\cdot p_{3} = 153[/tex]

[tex]p_{3} = \frac{153}{3}[/tex]

[tex]p_{3} = 51[/tex]

The mean of the remaining 3 boys is 51.

Please help me everyone!
In Kennington, 25 legislators represent 500,000 people.
Kennington has 2,500,000 people. How much legislators do they need?
Please help, I repeat.

Answers

                                                  [tex]\huge\boxed{125.}[/tex]

[tex]\boxed{-------------------------------------}[/tex]

Explanation...

So, 25 legislators represents 500,000 people.

We are trying to find how much legislators you need to represent 2,500,000.

500,000*5=2,500,000.

25*5=125.

Therefore, your answer is 125.

[tex]\boxed{-------------------------------------}[/tex]

Hope i helped!

[tex]\huge\boxed{Thanks,Plip.}[/tex]

Answer: 125

In Kennington, 25 legislators represent 500,000 people.

Find how many times 500,000 go into 2,500,000 people.

2,500,000 ÷ 500,000 = 5

Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.

25 x 5 = 125.

Answer = 125.

Hope this helps you!

Sandra is making decorations for the school dance out of construction paper. Each decoration uses 223 2 2 3 sheets of paper. Sandra notices that she only has 1012 10 1 2 sheets left.

Answers

Answer:

Step-by-step explanation:

CACA POOP

Answer:

464

Step-by-step explanation:

hwe

Jada's bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times.

Answers

If we know the diameter is 20inches we can find the circumference by multiplying 20 by pi, which is approximately 62.83 inches. This means that after one rotation the bike will travel 62.83 inches. To find the distance traveled we just multiply the circumference by 37 , which gives us about a total distance traveled of about 2324.78 inches

PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS ​

Answers

Look up decimal to percentage calculator and you can enter the decimals and get your answer because me entering all of them would be a pain

A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x. What is the value of y? 3 4 5 6

Answers

Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

You can check it by substituting. 2(3)+4=10      The answer is the measure of the right side, which is the same as the measure of the left side.

I hope this helps you!

Answer:

3

Step-by-step explanation:

A biker cycles 9 miles in 2/3 of an hour.
The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)

Answers

Answer:

this is for you RSM people.

1 hour=13.5

2 hours=27

3 hours=40.5

3.5 hours=47.25

Step-by-step explanation:

The constant variation of the biker is the speed of the biker, Hence, the constant variation is 13.5 mph

Giveb the Parameters :

Distance biked = 9 miles Time taken = 2/3 hours

Recall :

Speed = distance / time

Speed = 9 ÷ 2/3

Speed = 9 × 3/2

Speed = 27/2 = 13.5 miles per hour.

Therefore, the constant variation is 13.5 mph.

Learn more : https://brainly.com/question/18796573

Simplify (4.5)(5)(−2).

Group of answer choices

45

4.5

−4.5

−45

Answers

Answer: -45

Steps: 4.5 × 5 × -2 = -45

Plz mark brainliest:)

There are 5 chairs to every 2 tables in class. Which ratio is equivalent to 5:22
35:14
15:12
10:6
40:18

Answers

Answer:if your meaning 5:2 the answer would be 35:14

Step-by-step explanation:

You simply would have the find the equal to it so by multiplying both by 7 would make it equal. 7 × 5 is 35 and 7 × 2 is 14

2(x-3)=x-5+x plz help

Answers

Answer:

x is undefined

Step-by-step explanation:

Simplify the expression, we get

2x-6=2x-5

This will not work

There are no solutions

write an equation and use it to find the value of x will mark brainiest​

Answers

Answer:

equation: (12x+19) + (22x-9) = 180

x= 5

Step-by-step explanation:

the equation was made by the fact that the angles would add up to equal 180 degrees since the line made by them is straight

(12x+19) + (22x-9) = 180 is the same as 12x + 19 + 22x - 9 = 180

add like terms: 34x + 10 = 180

subtract 10 from both sides: 34x = 170

divide both sides by 34 to find x: x = 5

Answer:

12x+19+22x-9=180

Step-by-step explanation:

its a supplementary angles:

meaning two angles adds up to 180

therefore,

12x+19+22x-9=180

-------------------------------

to find the value of x:

12x+19+22x-9=180

12x + 22x = 180 - 19 + 9

34x = 170

x = 170 / 34

x = 5

Sammy wants to buy a new mattress priced at $419. He enters into an agreement to pay $26 a month for 24 months. How much will the finance charge be for this purchase?

Answers

If Sammy pays a monthly installment of $ 27 for 24 months, then the total amount paid by Sammy is 24 * $ 27 = $ 648. Now, since the

Enter an equation in standard form to model the linear situation.

A barrel of oil was filled at a constant rate of 6.7 gal/min. The barrel had 12 gallons before filling began.

Answers

Answer:

jdfjafdsds

Step-by-step explanation:

3 ÷ 6/7 i really need help! i will give you brainliest pls HELP​

Answers

Answer:

7/2

Step-by-step explanation:

---------------------------------------------------------

3.5

---------------------------------------------------------

Which unit rate corresponded to the proportional relationship shown in the graph?​

Answers

Answer: the speed of worm graph is bigger which gives you more space to figure out the way of the speed

Step-by-step explanation:

the graph is a picture designed to express words, particularly the connection between two or more quantities. You can see the graph . A simple graph usually shows the relationship between two numbers or measurements in the form of a grid.

Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)

Answers

Answer:

alternate interior angles

Step-by-step explanation:

I know for sure that this is one of the answers to your question sorry i didnt get to help more

Answer:

alternate interior angles

Step-by-step explanation:

Samantha has 4 1/2 gallons of lemonade for her daughter’s birthday party. Each gallon of lemonade contains 1.5 grams of fat. How many grams of fat are contained in all the lemonade Samantha has for the party?

Answers

Answer: 6.75

Step-by-step explanation:

1/2 gallons = 0.75 grams

1 gallons = 1.5 grams

2 gallons = 3 grams

4 gallons = 6 grams

6 + 0.75 = 6.75

I hope this helped!

Can somebody please help me with this math problem

Answers

Answer:

According to the question 25% of the students wore jackets.

Thus 25% of 12 wore jackets

The number of students can be found easily by multipling 12 with 25//100

12*25/100

12*1/4

12/4

thus, 3 students

Therefore, option 3 is correct

Solve the system of equations: y=x^2, y=x+6

A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)

Answers

The answer is C. (-2,4), (3,9)

There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If a person can eat 2 pounds, how many people are necessary to eat all of the waffles?

Answers

Answer: 112 people.

Step-by-step explanation:

Answer:

You would need 112.5 people to eat all the stacks of pancakes.

Step-by-step explanation:

45 times 5 = 225

and then 225 divided by 2 is 112.5

Hope this helps!

Good question lol

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places. .9588 c. With

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Population Mean wage (m) = $24.57

a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

The Null hypothesis : μ = 24.57

1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

Alternative hypothesis : μ ≠ 24.57

1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.

Sample size (n) = 30

Sample mean (Sm) = 23.89

Population standard deviation (σ) = 2.40

Obtaining Z:

Z = (Sm - m) / σ/√n

Z = (23.89 - 24.57) / 2.40/√30

Z = - 0.68 / 0.4381780

Z = - 1.5518805

Using the online p value calculator from Zscore

P value = 0.121142

= 0.1211

231km 118m - 485km 829m in the smallest unit

Answers

Answer:

Uhhhhhh

Step-by-step explanation:

ABUNDA LA CACA BDHDHENSNGAGVD

Answer:

hard

Step-by-step explanation:

PLEASE ANSWER IMMEDIATELY!!!

Answers

Answer:

C.

Step-by-step explanation:

Point lines A and B are pointed in the same each direction.

Point line straight C and G.

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Answer:

B and C

Step-by-step explanation:

Both do not intersect AB and are not parralel to AB.

Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?

Answers

Answer:

8 - 2i

Step-by-step explanation:

Just add the real parts together and then add the imaginary parts together

5 + 3 = 8

-4i + 2i = -2i

8 - 2i

Answer:

8-2i

Step-by-step explanation:

what is the midpoint of the line segment (-6,3) (-10,7)

Answers

Answer:

(-8,5)

Step-by-step explanation:

its what comes in between the two

Solve for the variable : 5y+6=3(y+4)

Answers

Answer:

y = 5

Step-by-step explanation:

Answer:

Y=3

Step-by-step explanation:

You would want to multiply y and 4 by 3.

5y+6=3(y+4)

×3 ×3

5y+6=3y+12

Now you want to have y by itself. You can first subtract 6 for starters.

5y+6=3y+12

-6 -6

5y=3y+6

5y=3y+6

-3y -3y

2y=6

Now you would want to divide.

2y=6

÷2 ÷2

y=3

You're answer would be y=3.

Which sets of angles listed are complementary in this diagram?

Answers

ANSWER: second option
EXPLANATION: always remember that complementary angles are angles that add up to 90 degrees...
Hope this helped you out

The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.

From the given figure we need to identify the complementary angles.

What are complementary angles?

In geometry, complementary angles are defined as two angles whose sum is 90 degrees.

By complementary angles concept:

From the figure, ∠AEG+∠CEG=90°

∠AEF+∠FED=90°

The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.

To learn more about the complementary angles visit:

https://brainly.com/question/15592900.

#SPJ5

Please select the word from the list that best fits the definition

energy obtained from heat within the earth

Answers

Answer:

geothermal

Step-by-step explanation:

energy obtained from heat within the earth-geothermal

The word geothermal best fits the definition.

Personal Finance: Cost of a Car The suggested list price of a new car is $24,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $300 over cost for the car?

Answers

Answer: $20,700

Step-by-step explanation:

Given that :

List price of car = $24,000

Dealer's cost = 85% of the list price of the car

Dealer acceptance cost = $300 over the cost

Hence, total amount to be paid :

Dealer's cost + dealer's acceptance cost

Dealer's cost = (0.85 * $24,000) = $21,400

Hence, Total cost :

$20,400 + $300 = $20,700

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