You want to test the claim that the average age of students at Gorka College is greater than the average age of students at Yapoah College. You take a simple random sample of 53 people from Gorka and compute an average age of 21.2 (years) and a standard deviation of 1.1. Then you take a simple random sample of 46 students from Yapoah College and compute an average age of 20.7 and a standard deviation of 1.2.
Compute the t-statistic for testing the alternative hypothesis that the average age of Gorka students is greater than the average age of Yapoah students (set things up so that t is positive).
What are the degrees of freedom (using the conservative method)?
What is the P-value?
Is there significant evidence at the 0.05 level to support the hypothesis that the average age of Gorka students is higher than for Yapoah?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 > μ2

Given :

x1 = 21.1 ; n1 = 53 ; s1 = 1.1

x2 = 20.7 ; n2 = 46 ; s2 = 1.2

The test statistic :

(x1 - x2) / √[(s1²/n1 + s2²/n2)]

(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]

0.4 / 0.2326682

Test statistic = 1.719

The degree of freedom using the conservative method :

Comparing :

Degree of freedom = n - 1

Degree of freedom 1 = 53 - 1 = 52

Degree of freedom 2 = 46 - 1 = 45

Smaller degree of freedom is chosen ;

The Pvalue from Test statistic, using df = 45

Pvalue = 0.0462

Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.


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Answer:

Option C.

Step-by-step explanation:

what is a bank statement​

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Step-by-step explanation:

a printed record of the balance in a bank account and the amounts that have been paid into it and withdrawn from it, issued periodically to the holder of the account.

4x = -12? dgdgdgdgdgdg

Answers

Answer:

-3

Step-by-step explanation:

X=-12/4

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hope it helps

Answer:

-3

Step-by-step explanation:

4x= -12

4x/4 = -12/4

x = -3

Movie critics claim that 68% of adults and 79% of teenagers would recommend seeing the newest action movie. Suppose random samples of 43 adults and 52 teenagers are selected. Let p hat Subscript Upper A and p hat Subscript Upper T be the sample proportions of adult and teenage moviegoers, respectively, who would recommend this movie.

Which of the following is the mean of the sampling distribution of p hat Subscript Upper A Baseline minus p hat Subscript Upper T?
–0.11
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Answers

Answer: -11

Step-by-step explanation:

Answer:

–0.11

Step-by-step explanation:

edge 2023

In which of the following drawings is DE parallel to AC?

Answers

Answer:

its option D because the lines are not even close to crossing.

Step-by-step explanation:

hope this helps :)

find the value of x to the nearest tenth
a. -4.4
b. 7.5
c. 1.9
d. 3.5

Answers

Answer:

B

it is b because 7,5 is nearest

The answer is B. 7.5

This is because to find x you can do the tangent of 62 and create the equation tan62=x/4

Next you need to multiply both sides by 4.

When you do this you get an answer of 7.5

Please I need help asap, I will mark the best answer as Brainliest and give 20 points. I really need this if Im going to be able to study

Answers

Answer: The new point might be is 47,8 by applying the rule to both x and y

Step-by-step explanation:

smallest to biggest pls

Answers

Step-by-step explanation:

45.399,45.454,45.545,45.933

x( 3x - 2y + 4z)x = -2, y = 4, and z = -3

Answers

Chick hhhfrtughgfghhgtyhhg

Pencils cost x cents and erasers cost y cents each. Mary buys 7 pencils and 3 erasers. Write down the total cost in cents, in terms of x and y.

Answers

Answer:

7x + 3y.

Step-by-step explanation:

7 pencils cost 7x cents and 3 erasures cost 3y cents.

Assume for a paired-samples t test: N= 17, Mdifference = 467.72, s = 264.50. What is the effect size statistic?

Answers

Answer:

bbbbbhbbvcgccfggfgggggggggihh

circle o has diameter ab and chord ac. calculate the measure of cab id bc = 62⁰​

Answers

Answer:

sin62 =0.883

Step-by-step explanation:

0.883=1/0.836=1.133

The measure of ∠CAB is 31⁰​.

Given that,

Circle O has diameter AB and chord AC.

We have to determine,

The measure of ∠CAB if BC is 62⁰​.

According to the question,

The measurement of the required angle by using circle properties following all the steps given below.

The measure of the BC is 62 degrees.

If the circle has diameter AB and chord AC,

Then,

By the property of the circle,

[tex]\rm m\angle CAB = \dfrac{1}{2} \times BC \\[/tex]

Substitute the value of the BC in the equation,

[tex]m\angle CAB = \dfrac{1}{2} \times BC \\\\ m\angle CAB = \dfrac{1}{2} \times 62 \\\\ m\angle CAB = 31 \ degree \\\\[/tex]

Hence, The measure of ∠CAB is 31⁰​.

For more details refer to the link given below.

https://brainly.com/question/1319201

Activity 1
1. How much space in the room will a cabinet occupy if it is 1.5 m long, 0.34 m wide and 2.5 m high?
2. A box is 2,5 dm long and 5pm high it's volume is 62.5 dm. How wide it is?
3.Alberto made a cubical box 3cm on a side. What is the capacity of the box?

Answers

Step-by-step explanation:

my answer is in the image above

find height of cylinder given surface area and radius

Answers

Answer:

h = A/2πr - r

That's the formula. Hopefully it's understandable because I don't know any other way of typing it. You can always search it up and it'll show you. :)

What are the domain and range of the function represented by the set of ordered pairs? {(-7,1),(-3,2), (0, -2), (5,-5)}​

Answers

Answer:

domain:  {-7, -3, 0, 5}

range:  {-5, -2, 1, 2}

Step-by-step explanation:

The domain of this set of ordered pairs is the set of input values (x-coordinates):  {-7, -3, 0, 5}, and the range is that of output values (y-coordinates):  {1, 2, -2, -5} or {-5, -2, 1, 2}.

How do I do this question?

Answers

Answer:

3rd Option

Step-by-step explanation:

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} [/tex]

[tex] = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} [/tex]

[tex] = 9 \sqrt{2} (ans)[/tex]

Does anyone know how to solve this?

Answers

9514 1404 393

Answer:

zeros: {-2, -1, 7}P(x) = (x +2)(x +1)(x -7)

Step-by-step explanation:

Descarte's rule of signs tells you there is 1 positive real root. The rational root theorem tells you any real roots are factors of ±14, so will be ±1, ±2, ±7, or ±14.

We note that the sum of all coefficients is negative, so +1 is not a root.

We note that the sum of coefficients of odd-degree terms is 1-19 = -18, and the sum of coefficients of even-dgree terms is -4-14 = -18. These are the same value, indicating that -1 is a root. The corresponding factor is (x +1).

The result of dividing the factor (x+1) from the polynomial using synthetic division is shown in the first attachment. The coefficients found mean the quotient is ...

  Q(x) = x^2 -5x -14

Factoring this using any method you like gives ...

  Q(x) = (x +2)(x -7)

This means the full set of zeros is {-2, -1, +7} and the factorization is ...

  P(x) = (x +2)(x +1)(x -7)

_____

Additional comment

My personal favorite method of finding the zeros is to let a graphing calculator show them to me. That result is shown in the second attachment.

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Answers

Answer:

Factors of 27

Step-by-step explanation:

Thus; in considering factors ,we find the numbers in which can go into the number without any remainder.

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pls help pls help pls help

Answers

Answer:

Step-by-step explanation:

A square + B square

Answers

Soln: Formula for a²+b² can be given by two types.

(i). a²+b² = (a+b)² - 2ab

= a²+2ab+b²-2ab

= a²+b²

=> LHS = RHS

Therefore, hence proved!

(ii). a²+b² = (a-b)² + 2ab

= a²-2ab+b²+2ab

=> LHS = RHS

Therefore, hence proved!

Hence, a²+b² = (a+b)² - 2ab

'OR'

a²+b² = (a-b)² + 2ab

Thank you. ☺️

hope it helps

806000 words typed in 12 hours how many words can type in 1 minute ?

Answers

Answer:It depends on how fast you write.

Step-by-step explanation:If you're a professional typist, you can probably type 75 words per minute, and maybe even more.

Answer:

1,119.44 wpm

Step-by-step explanation:

806,000 words in 12 hours; divide each value by 12 to get number of words per 60 minutes

17,166.67 word in 60 minutes; divide each value by 60 to get number of words per minute

1,119.44 words in 1 minute

Translate this phrase into an algebraic jahauahahshshshshshshshshshshhs

Answers

Answer:

Step-by-step explanation:

Jdshdcjecjjwdjwddhwedhwedwedwehwdhw?

i think?

The function is f(x) is shown on the graph.


What is f(0)
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Answers

Answer:

12 only

Step-by-step explanation:

The function is given on the graph.

What is f(0)?

This is the value of y when x = 0.

Looking at the horizontal axis, when x = 0, the vertical axis is at y = 12, and at no other point the horizontal axis is at x = 0, which means that the correct answer is given by:

12 only

You buy a family-size box of laundry detergent that contains 40 cups. , how many loads of wash can you do?

SEE IMAGE BELOW

Answers

Answer:

30 loads

Step-by-step explanation:

You simply divide 40 by 1 1/3 which gives you 30 meaning you can wash 30 loads.

Answer:

30

Step-by-step explanation:

To solve this, you want to do 40÷[tex]1\frac{1}{3}[/tex], or [tex]\frac{40}{1}[/tex]÷[tex]\frac{4}{3}[/tex], which is the same as  [tex]\frac{40}{1}[/tex]×[tex]\frac{3}{4}[/tex].

This can be solved to [tex]\frac{120}{4}[/tex] and simplifies to 30.

**This content involves writing expressions from worded questions and operations with fractions, which you may wish to revise. I'm always happy to help!

Patty's dog weighs 48 ounces. How many pounds does Patty's dog weigh?

Answers

Answer:

If Patty's dog weighs 48 ounces, and we convert ounces to pounds, our answer is 3. Patty's dog weighs 3 pounds

Step-by-step explanation:


Help find average rate of change

Answers

Problem 2

Answer:   Average rate of change = 4

==========================================================

Explanation:

When we have an interval [a,b], the average rate of change over this interval is given by the formula

[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]

You probably can notice that we have something that looks eerily similar to the slope formula. That's because average rates of change are basically the same as the slope of the straight line through the endpoints of the interval. The f(b)-f(a) is the change in y of f(x) outputs. The b-a down below is the change of x values when going from x = a to x = b.

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

Let's evaluate the function at x = 1

f(x) = x^2+1

f(1) = 1^2+1

f(1) = 2

Repeat for x = 3

f(x) = x^2+1

f(3) = 3^2+1

f(3) = 10

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

We have enough info to evaluate the original formula I mentioned earlier

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(3)-f(1)}{3-1}\\\\m = \frac{10-2}{3-1}\\\\m = \frac{8}{2}\\\\m = 4\\\\[/tex]

The average rate of change on this interval is 4

This is the same as saying the slope of the line through (1,2) and (3,10) is m = 4

See the graph below.

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Task #3 Mariam’s Job
Date Completed:

Mariam makes $50 a week.
a) Show this relationship in a graph below.


b) What is the unit rate of the line in the equation?

c) What is the connection between the unit rate and the amount of money Mariam makes per week?

d) Write the equation for this relationship.

e) Is this a proportional relationship? Justify your answer.

Answers

Answer:

a

Step-by-step explanation:

The distance between the complex numbers z1 = 7 – 2i and z2 = 3 - 3i is ________

Answers

Answer:

sqrt(17)

Step-by-step explanation:

the distance is

|(7-2i) - (3-3i)| = |4 + i|

remember, the absolute value of a complex number is

|a+bi| = sqrt(a²+b²)

in our case

sqrt(4² + 1²) = sqrt(16+1) = sqrt(17)

Help me plz i can't figure this out

Answers

Answer:

C

Step-by-step explanation:

For C the y axis changes, add 5 to -3 and you get 2. Therefore 5 units away!

Hope this helps, good luck! :)

∑_(n=1)^∞▒〖( 1/2 )〗^2n

Answers

Answer:

The series converges to [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

It seems to be this series:

[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n}$[/tex]

We have

[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n} = \sum_{n=1}^{\infty} \left(\dfrac{1}{4} \right)^{n}$[/tex]

Using the Root test we can see that this series converges once

[tex]$ \lim_{n \to \infty} \sqrt[n]{|a_n|} < 1 \implies \sum_{n=1}^{\infty} a_n \text{ is convergent}$[/tex]

Then, [tex]$\lim_{n \to \infty} \sqrt[n]{\left(\dfrac{1}{4} \right)^{n}} = \lim_{n \to \infty} \dfrac{1}{4} = \dfrac{1}{4} < 1$[/tex]

The series is convergent.

Once the series is geometric, the first term is [tex]\dfrac{1}{4}[/tex] and the ratio is also [tex]\dfrac{1}{4}[/tex] in this case.

The sum of infinite geometric series is [tex]S = \dfrac{a_1}{1-r}[/tex] such that [tex]r < 1[/tex]

[tex]\therefore S = \dfrac{\frac{1}{4} }{1-\frac{1}{4}} = \dfrac{1}{3}[/tex]

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