Which of the following properly describe slope? Check all that apply.

A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is

seraphim [82]

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

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397$

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576$

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

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

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

6 0

2 years ago

A car wash attendant counted the number of cars washed and the total amount of money earned. The company charged the same price

Bogdan [553]

The answer is m(n)= 11n
If you take the different of the money from 21 cars and 25 cars, you get 44 and since 21 and 25 is only a difference of 4, you’ll divide the 44 earned by the 4 cars washed to get $11 per car and then just make sure to use the correct variables

7 0

2 years ago

Determine the equation of the circle graphed below .

Volgvan

Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

3 0

2 years ago

WHAT IS THE TOTAL SURFACE AREA??

Advocard [28]

Answer:

210

Step-by-step explanation:

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5 0

2 years ago

Read 2 more answers

Eli walked 12 feet down the hall of his house to get to the door. He conti in a straight line out the door and across the yard t

EastWind [94]

Answer:

a. Check the diagram

b. He walked 58 feet

c. He is 18 feet far away from the house

Step-by-step explanation:

a. Eli started inside the house an walked 12 feet (blue arrow), after that he keep walking until the mailbox for 32 feet (green arrow) and after that he came back until the dog 14 feet (red arrow).

b. For calculating how far has he walked we need to take into acount all the travel so we add all the arrows:

12ft + 32ft + 14ft =58ft

He walked 58 feet.

c. The distance from the dog to the house is determine by the substraction between the distance to the mailbox with the distance he walked to the dog then:

32ft - 14ft = 18ft.

He is 18 feet far away from the house.

6 0

3 years ago