SAT scores: The College Board reports that in 2009, the mean score on the math SAT was 582 and the population standard deviation was =σ120. A random sample of 20 students who took the test in 2010 had a mean score of 515. Following is a dotplot of the 20 scores. (a) Are the assumptions for a hypothesis test satisfied? Explain. (b) If appropriate, perform a hypothesis test to investigate whether the mean score in 2010 differs from the mean score in 2009. Assume the population standard deviation is =σ120. What can you conclude? Use the =α0.10 level of significance and the critical value method.

Answers

Answer 1

Answer:

we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.

Step-by-step explanation:

H0 : μ = 582

H1 : μ < 582

Test statistic :

T = (xbar - μ) ÷ σ/√n

Xbar = 515 ; n = 20 ; σ = 120

T = (515 - 582) ÷ 120/√20

T = -67 / 26.832815

T = 2.50

Pvalue at t score = 2.50 ; df = 19 is 0.0187

At α = 0.0187

Pvalue > α ; Hence, we fail to reject the Null

Hence, we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.


Related Questions

Write 44 as a product of primes. Use index notation

Answers

Answer: 44 = 2 x 22, 2 is prime. 22 = 2 x 11, 2 and 11 are prime. So, writing 44 as a product of primes is: 2 x 2 x 11, or 2^2 x 11.

Answer:

2 x 2 x 11 or 2^2 x 11

Prime factorization: 44 = 2 x 2 x 11, which can also be written 2² x 11.26

Pls help! College Math!

Answers

Answer:

13+5 = 18

2-(5+4) = -7

3(2-13) +2(4) = -25

a = -9/2

Step-by-step explanation:

[tex]\int\limits^3_0 {(a f(x) + g(x))} \, dx = 0[/tex]

a(2) + (5+4) = 0

2a = -9

a = -9/2

What are the solutions to 2(x+1^2)=18

Answers

Answer:

2( x + 1) = 18

2x + 2 = 18

2x = 16

x = 16/2 = 8

In the year 2009, a company made $5.4 million in profit. For each consecutive year after that, their profit increased by 11%. How much would the company's profit be in the year 2012, to the nearest tenth of a million dollars?​

Answers

Answer:

Hi Grif05!

Your answer is 7.1 million.

To be exact , 7182000

Step-by-step explanation:

The distance between 2009 and 2012 is 3 years so we multiply.

11x3=33.

Now we must find 33% of 5.4 million.

33 % of 5.4 million is 1782000.

33% of 5400000 = 1782000

We then add 33% of 5.4 million to itself.

We get an answer of 7182000.

Hope this helps! Tell me if I'm wrong please :)

sum of -4/5 and -5/12. please answer.​

Answers

Answer:

[tex]- 1 \frac{13}{60} [/tex]

Step-by-step explanation:

[tex] - \frac{4}{5} + - \frac{5}{12} \\ \frac{ - 48 - 25}{60} \\ \frac{ - 73}{60} \\ = - 1 \frac{13}{60} [/tex]

Hope this helps you.

Can I have the brainliest please?

is this correct help please

Answers

Answer:

I would think it would be 4 because dont you add the 2 sides?

Step-by-step explanation:

What is the volume of a rectangular prism with length equal to 13,width equal to 6 and height equal to 4

Answers

Given:

Length of the rectangular prism = 13 units.

Width of the rectangular prism = 6 units.

Height of the rectangular prism = 4 units.

To find:

The volume of the rectangular prism.

Solution:

We know that the volume of the rectangular prism is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth or width and h is the height of the rectangular prism.

Putting [tex]l=13,b=6,h=4[/tex] in the above formula, we get

[tex]V=13\times 6\times 4[/tex]

[tex]V=312[/tex]

Therefore, the volume of the given rectangular prism is 312 cubic units.

Pls help meeeeeeeeee

Answers

Answer:

3692.64 inches cubed.

Step-by-step explanation:

round this answer to the nearest tenth and that is your answer!

Find the Mode of the following set of data. (Round to the nearest whole number.)

1, 1, 3, 0, 7, 2, 0, 3, 1, 6, 8, 1

Answers

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mode is the number which occurs most frequently in the data set.

In this question, 1 appears the most frequently meaning that the correct mode is is 1.

write an algebraic expression for each verbal expression. the sum of B and 21

Answers

Answer:

B + 21

or

21 + B

Step-by-step explanation:

The sum of B and 21

The sum of : means to add B and 21

The algebraic expression would be: B + 21  or 21 + B (depending on how you/your teacher wishes it to be written)

Answer:

21 + b

Step-by-step explanation:

The answer to this expression is the sum of b and 21. The answer is 21 + b.

Good luck ^^

Calculate the answer to the appropriate number of significant figures. (do not convert to scientific notation) 6.47 x 64.5

Answers

Answer:

[tex]6.47 \times 64.5 \\ = 417.315[/tex]

the answer is 417.375!!! happpppy

What is the perimeter of the triangle?
units

Answers

Answer:

need more info in order to answer

Consider the following vectors in component form.
→u=⟨3.2,2.5⟩
→v=⟨−6.3,−5.9⟩
→w=⟨−0.2,0.9⟩
→z=⟨11,−3⟩
Represent each of the following resultant vectors in component form. (Each answer should be in the form "< #, #>".) →u+→v=
→v+→w=  
→u+→z=
→w+→z+→u=​

Answers

Answer:

Cartesian Coordinate System

• Also called

rectangular coordinate

system

• x- and y- axes intersect

at the origin

• Points are labeled (x,y)

Polar Coordinate System

– Origin and reference

line are noted

– Point is distance r from

the origin in the

direction of angle θ,

ccw from reference

line

– Points are labeled (r,θ)

Cartesian to Polar Coordinates

• r is the hypotenuse and θ

an angle

θ must be ccw from

positive x axis for these

equations to be vali

Step-by-step explanation:

Which expression is equivalent to 3m-1+m ?

Answers

Answer:

The answer is 4m-1

Step-by-step explanation:

Answer:

2 + m -1 + m

Step-by-step explanation:

Please can I have help on this

Answers

Answer:

64

Step-by-step explanation:

16/2

= 8

8 x 8 x (pie)

64(pie)

Answer:

From the diagram, the radius of the circle is 8cm therefore the area is

A =

[tex]a \: = \pi {r}^{2} [/tex]

= 201.1 cm^2

Select the graph for the solution of the open sentence. Click until the correct graph appears.

|x| < 1

Answers

The right answer is the second graph aka the one on the right

Answer:

|x| < 1x < 1 and x > - 1

The solution is:

- 1 < x < 1

The correct graph is the third one

(thicker segment between points -1 and 1 with open dots)

what its 600+600 pls help​

Answers

Answer:

1200 hope this helps you;)

Answer:

1200 lol

Step-by-step explanation:

What is the answer please help me no links I will report because it’s not ok

Answers

Answer: 150 minutes

Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.

Answers

Convert both mixed numbers to improper fractions since they do not have a similar denominator.

2 7/10 becomes 27/10
1 1/4 becomes 5/4

Now you need to find the least common denominator that 10 and 4 go into which is 20.

Multiply the top and bottom by the number it takes to make the denominator in each fraction 20

27/10 becomes 54/20 because you multiply the 10 and 27 by 2.

5/4 becomes 25/20 because you multiply the 4 and 5 by 5.

Now you can subtract the two fractions:

54/20 - 25/20 = 29/20

29/20 can be reduced to 1 9/10 which is how much farther he must go.

plz help will give crown

Answers

Answer: I would have to say 1/21

Step-by-step explanation: Because since there is only 2 aces i believe that drawing one is quite out of the ordinary.

1/21

Explanation:

I think it’s 1/21 but I’m not 100% sure

Of 220 seventh-grade students, 25% earn the Community Service Award. How many students earn the award?

Answers

Answer:

55 students

Step-by-step explanation:

all you do is 220*.25 and you get the answer

what is the median of this set of data?

Answers

Answer:

39

Step-by-step explanation:

Answer:

Its 39

Step-by-step explanation:

consider this data set.
18, 11, 4, 9, 2, 3, 5
which box plot displays the data shown?

Answers

Answer:

d

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

What is the value of the second quartile

Answers

Answer:

the value is 20 out of 100

Step-by-step explanation:

$10,000 is invested at 0.75% annual interest for 2 years.
a. Simple Interest b. Compound Interest

Answers

Answer:

The simple interest is 10,150.00 The compound interest is $10,150.56

Step-by-step explanation:

12. Which of these is not a characteristic (property) of a polygon?
A. A closed shape
B. Parallel faces
C. Made of straight lines
D. Two-dimensional

Answers

B. Parallel faces

Not all sides need to be parallel and a polygon has only 1 face unless cut

An article reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 110 times per second for 300 seconds, for a total of 33000 measurements. Find a 95% confidence interval for the population correlation rho. Round the answers to four decimal places.

Answers

Answer:

95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Step-by-step explanation:

Given the data in the question;

correlation coefficient y between output and time under a load of 588 N was −0.9515

so first we determine the quantity W.

we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])

we substitute -0.9515 for r

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])

W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )

W = [tex]\frac{1}{2}[/tex]( -3.6948975 )

W = - 1.8474

So the quantity W is normally distributed with  standard deviation given by;

σ[tex]_w[/tex] = 1 / √(n - 3)

given that n is 33,000, we substitute

σ[tex]_w[/tex] = 1 / √(33,000 - 3)

σ[tex]_w[/tex] = 1 / √32997  

σ[tex]_w[/tex] = 0.0055

Now, at 95% confidence interval, μ[tex]_w[/tex] will be;

⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )

⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078

⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366

So to obtain 95% confidence interval for p, we use the following equation;

we transform the inequality

p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]

we substitute

[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]

[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]

[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]

[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]

-0.9525 < [tex]p[/tex] < -0.9505

Therefore,  95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Find the product. Simplify.
(8 – 6b)(5 – 36) =
Someone help me pls!!

Answers

Answer:

-62

Step-by-step explanation:

(8 – 6b)(5 – 36)

(8 – 6b)(-31)

-248 + 186

-62

Pls help me pls it’s

Answers

Q) What percentage of sudents who passed the test completed the review sheet

A)

19/27*100

=70.37%

Nearest 10th of a percent

=70%

Write 53 minutes to 4 hours as a ratio.

Answers

Answer:

The minutes wouldn't it be hours?

Step-by-step explanation:

Answer:

53:240

Step-by-step explanation:

Turn the hours into minutes since the minutes can't change to hours.

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