A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is ready for​ college-level mathematics. To achieve this​ goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 24.5 on the college entrance exam with a standard deviation of 3.3.
a) Do these results suggest that students who complete the core curriculum are ready for​ college-level mathematics? That​ is, are they scoring above 24 on the math portion of the​ exam?
b) State the appropriate null and alternative hypotheses.

Answers

Answer 1

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

They score is above 24 on the math portion of the​ exam

b)

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

Step-by-step explanation:

Step(i):-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

test statistic

[tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397[/tex]

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576[/tex]

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

They score is above 24 on the math portion of the​ exam

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at  0.05% level of significance

They score is below 24 on the math portion of the​ exam


Related Questions

Find the value of x.

Answers

Answer:

x = 61

Step-by-step explanation:

x and 29 are complementary angles  so they add to 90 degrees

x+29 = 90

Subtract 29 from each side

x+29-29 = 90-29

x = 61

Answer:

61 degrees = x

Step-by-step explanation:

Since angle measures x and 29 are complementary angles, subtract 29 from 90 degrees.

90 - 29 = 61 degrees is the value of x

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification: freshmen 83, sophomores 68, juniors 85, and seniors 64. The school superintendent is interested in determine whether there has been a significant change in the classification between last school year and this school year.

Deteremine the correct null hypothesis for this problem

Answers

Find the given attachment

PLEASE HELP me with the magic square

Answers

Fill in each slot in the square with variables a, b, c, d, and e, in order from left-to-right, top-to-bottom. In a magic square, the sums across rows, columns, and diagonals all add up to the same number called the magic sum.

The magic sum is -3.9, since "diagonal 2" (bottom left to top right) has all the information we need:

3 + (-1.3) + (-5.6) = -3.9

Use this to find the remaining elements

row 1:

a + b + (-5.6) = -3.9

row 2:

c + (-1.3) + d = -3.9

row 3:

3 + e + 0.02 = -3.9

column 1:

a + c + 3 = -3.9

column 2:

b + (-1.3) + e = -3.9

column 3:

(-5.6) + d + 0.02 = -3.9

diagonal 1 (top left to bottom right):

a + (-1.3) + 0.02 = -3.9

You will find

a = -2.62

b = 4.32

c = -4.28

d = 1.68

e = -6.92

BRAINLIEST this is a really hard question and i just cant figure it out, can someone please help me

What is 0 + 0 - 0 / 0 = 0 + 0 / 0
i cant figure it out lol

Answers

Answer:

so first, 0 can't be divisible

but whatever,

0 + 0=0

0-0=0

0/0=0 = 0+0=0/0=0

so the answer will stay the same, which is 0.

lol, hope that helps, dude/dudess.

Answer:

0

Step-by-step explanation:

because

0+0=0

0-0=0

0÷0=0

0×0=0

Add. Enter your answer in scientific notation.
2.25 x
108 +3.50 x 108 +2.25 x 108 =

Answers

Answer:

  8×10⁸

Step-by-step explanation:

2.25×10⁸ +3.50×10⁸ +2.25×10⁸ = (2.25 +3.50 +2.25)×10⁸ = 8×10⁸

__

Your calculator can do this for you and display the result in scientific notation.

If you make $ 18,720 a year what is your monthly wage ?

Answers

Answer:

1,560.00 per month

Answer:

1,560

18,720/12 months in a  year = 1,560 per month

hope this helps

Step-by-step explanation:

write an algebraic expression for 2 less than twice a n

Answers

Answer:

(2(an))-2

Step-by-step explanation:

What is the y-value when x equals - 12?
y = -200 - 6(x)
Enter the correct answer

Answers

Answer:

y = -6x - 200

Step-by-step explanation:

5lb 7oz -11oz need help quick​

Answers

Answer:

76 ounces

Step-by-step explanation:

I'm assuming you meant:

5lb+7oz-11oz=

16 ounces in a pound

5lb+7oz-11oz=

80+7-11=

87-11=

76 ounces

A cylindrical tank is half-full of oil. The cylinder has base radius of 100cm.The height of the cylinder is 250cm. 1 litre =1000cm cubed
How many litres of oil are in the tank? Round your answer to the nearest litre.

Answers

Answer:

Step-by-step explanation:

area of a cylinder=. V=πx r^2xh

so...

πx100^2x125=3926990.817 (the height is 125 because only half of it has oil)

3926990.817/1000=3927litres

What does X equal?? Please help me out!!

Answers

X = 80 + 20 = 100 degrees

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

x > 5

Step-by-step explanation:

Subtract 7 from both sides, like so:

x + 7 > 12

  - 7      - 7

________

x > 5

Jamie spent $12 dollars a day on food for 6 days. What was Jamie’s overall change in her bank account for food over the 6days?

Answers

Answer:

-72

Step-by-step explanation:

12 * 6 = 72

Jaime spent 72 dollars for the 12 days

It went down because the money was spent

-72

The mean temperature for the first 7 days in January was 4 °C.
The temperature on the 8th day was 4 °C.
What is the mean temperature for the first 8 days in January?

Answers

Answer:

4 degrees Celsius

Step-by-step explanation:

Since the mean is (total/amount), we can remake this to get That mean*amount=total. For the first 7 days, 4*7=28 for our total, and add that to the 8th day to get 32 for our total. 32/8=4 for our mean for the first 8 days of january

Answer:

Answer:

4 degrees Celsius

Step-by-step explanation:

Since the mean is (total/amount), we can remake this to get That mean*amount=total. For the first 7 days, 4*7=28 for our total, and add that to the 8th day to get 32 for our total. 32/8=4 for our mean for the first 8 days of january

Sherri hikes on the Pacific Coast trail. She plans to hike 3.72 miles. If she hikes at an average speed of 1.2 miles per hour, how long will she hike?

Answers

Answer:

3.1 hours

Step-by-step explanation:

Average Speed=Distance Traveled ÷ Time Taken

Sherri plans to hike 3.72 miles  at an average speed of 1.2 miles per hour.

Average Speed=1.2 miles per hour.Distance =3.72 miles

Therefore:

1.2 miles per hour=3.72 miles ÷ Time

1.2 miles per hour X Time=3.72 miles

Time = 3.72 ÷ 1.2 hours

Time taken by Sherri=3.1 hours

Sherri will hike for 3.1 hours.

A student used f(x) = 5.00(1.012)* to show how the balance in a savings account will
increase over time. What does the 5.00 represent?

Answers

Answer:

  the initial balance

Step-by-step explanation:

5.00 is the value of f(0). It is the balance before any time has elapsed, the initial balance.

If you were to roll a six-sided number cube 60 times, about how many times would you expect the number cube to land on a 1?

Answers

Answer:

10

Step-by-step explanation:

Probability is the likeliness of happening of an event.

Probability of any event A can be be defined by

no. of time event A happens/ total no. all possible  event that can occur

___________________________________

In the problem

probability of occurrence of 1 on rolling a cube is needed.

A cube has six sides with one written on one sides and rest has 2,3,4,5,6.

No of times 1 can occur on rolling the dice once will be = 1

Since there six sides and and each has different number (1,2,3,4,5,6)

There is chance that each of the number can come.

Thus, total no possible outcome = 6

Probability of occurrence of 1 = No of times 1 occurs on rolling the dice /total no possible outcome    = 1/6

_____________________________________________

If dice is rolled 1 time there is 1/6 chance that 1 will be the outcome.

If dice is rolled 1*60 time then there is 1/6*60= 10 chance that 1 will be the outcome

Thus , If you were to roll a six-sided number cube 60 times, about 10  times it is  expected that  the number cube to land on a 1.

Answer:

20

Step-by-step explanation:

find the slope of the line passing through the points (6,9) and (6, -1)

Answers

Answer:

Undefined

Step-by-step explanation:

M=undefined

Slope = y2-y1 /x2- x1

=9 -(-1). / 6-6

= 10/0 = infinity ; undefined

nora spend 1/4 of her pocket money on choclate ,1/8 pizz at end she had 40 dollar left how much did she have at the begging

Answers

Answer:

$64

Step-by-step explanation:

1/4 + 1/8=3/8

8/8-3/8=5/8

8/8 x 40 x8/5

=$64

Answer:

64

Step-by-step explanation:

1/4 = 2/8

2/8 + 1/8 = 3/8

5/8 = 40

div by 5 = 8

1/8 = 8

she had 64 dollars to start with

what is the number that has the same value as l6l

Answers

Answer:6

Step-by-step explanation: Moving two bars to the edge of 6 will result in 6.

How to solve #2 if you don’t know any of the side lengths?? (We’re learning about Pythagorean Theorem)

Answers

Answer:

Applying Pythagorean theorem in right triangle with c is longest side and a, b are the other sides:

=> c^2 = a^2 + b^2

=> a^2 = c^2 - b^2

=> b^2 = c^2 - a^2

Hope this helps!

:)

Answer:

c² = a² + b²

a² = c² - b²

b² = c² - a²

a cartographer used a scale of 1 inch :300 meters for the heights of different mountains if the actual height of one of those mountains is 3700 meters high. what is the height on the map?​

Answers

Answer:

[tex]12\frac{1}{3}[/tex] inches

Step-by-step explanation:

So to go from 300 to 3700 you have to multiply by [tex]12\frac{1}{3}[/tex]

b. David and Andrew are traveling to a Mathematics conference. David travels 110 miles in the same time that Andrew travels 140 miles. Andrew travels 15 miles per hour faster than David. Find the average rate of each person.

Answers

Answer:

Its 14 and 19

Step-by-step explanation:

Answer:

b. About 15 miles

Step-by-step explanation:

got it right on edge

The table below represents the equation: y = 1.5x – 2 A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 6.5, negative 2, blank, blank. Y = 1.5 (negative 3) minus 2. y = 1.5 (0) minus 2. If you completed this table, would each input have exactly one output?

Answers

Answer:

yes, each input would have exactly one output if you completed this table.

Step-by-step explanation:

Yes, there is only one output for each input. The table's linear equation provides exactly one value of y for each value of x.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

What is the linear equation?

The general equation of a line is y = mx + c

where m is the slope of the line and c is the intercept.

A linear equation is defined as an equation in which the highest power of the variable is always one.

The table's linear equation provides exactly one value of y for each value of x.

Yes, there is only one output for each input.

Learn more about the linear equation here:

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What is the median of the following numbers?
8,10,8,5,4,7,5,10,8

Answers

Answer:

the answer is 4

Step-by-step explanation:

Answer:

the median is 7

Step-by-step explanation:

to find the median you need to find the highest number in value and then find the lowest number in value. The median is the middle value.

The amplitude of y= – sin is
b 0
C2
d 1

Answers

Answer:

  d.  1

Step-by-step explanation:

The amplitude of such a function is the magnitude of the coefficient of the sine function.

  |-1| = 1 . . . . the amplitude . . . matches choice D

Rearrange the equation so q is the independent variable.

9q-4=3r-6

r = __

Answers

Answer:r=3q+2/3

Step-by-step explanation:

Step 1: Flip the equation.

3r-6=9q-4

Step 2: Add 6 to both sides.

3r-6+6=9q-4+6

3r=9q+2

Step 3: Divide both sides by 3.

3r/3=9q+2/3

r=3q+2/3

Hopefully it’s right

Rearranging the equation, so q is the independent variable as r=(9q+2)/3.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 9q-4=3r-6.

Now, 9q-4+6=3r

3r=9q+2

r=(9q+2)/3

Therefore, rearranging the equation, so q is the independent variable as r=(9q+2)/3.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Batman, who is having a slow year for crime, has resorted to saving cats from very tall buildings. Our fearless 6 foot tall hero is 40 feet from the the Petsmart building the cat was trying to break in to, in order to get his paws on the pumpkin spice cat nip. Batman sights the top of the building at a 30° angle, how high is the building?

Answers

Answer:

29.094 feet tall

Step-by-step explanation:

tan(30) = [tex]\frac{x}{40}[/tex]

so tan is opposite over adjacent which means that we should be able to solve for the opposite as we have the angle (30) and the distance from Batman to to building, which is (40 feet), with these numbers you will do, tan(30) = [tex]\frac{x}{40}[/tex] and from that you will solve for x, and from x you add the 6 foot of batmans height

What is the volume, in cubic cm, of a rectangular prism with a height of 19cm, a
width of 16cm, and a length of 8cm?

Answers

Answer: 2432

19 x 16 x 8 = 2432

Answer: 2,432 cm³

Step-by-step explanation: To find the volume of a rectangular prism or a prism whose base is a rectangle, we use the formula below.

Volume = length × width × height

Since the rectangular prism has a length of 8 centimeters, a width of 16 centimeters, and a height of 19 centimeters,

we can plug this information into the formula to get

(8 cm)(16 cm)(19 cm).

This gives us 2,432 cm³.

So the volume is 2,432 cm³.

Which statement is true? Question 10 options: A) |13| = – 13 B) – |13| = 13 C) |–13| = 13 D) – |–13| = 13

Answers

Answer:

The answer is C

Step-by-step explanation:

Every negative or positive number in the modulus while be positive at the end

The true statement is C) |–13| = 13, indicating that the absolute value of -13 is 13, representing the distance of -13 from zero on the number line.

How to Solve Absolute Value Equations?

The true statement is: C) |–13| = 13, as explained below.

The expression |–13| represents the absolute value of -13, which is the distance of -13 from zero on the number line, always resulting in a non-negative value.

|–13| = 13, because the absolute value of -13 is 13, meaning it is 13 units away from zero on the number line. So, the correct option is C) |–13| = 13.

Learn more about Absolute Value on:

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