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levacccp [35]
2 years ago
6

In the general population, the mean IQ is 100 with a standard deviation of 15. Dr. Robbins wants to see if a class of statistics

students is significantly smarter than the population, so Dr. Robbins gives them an IQ test to get the average IQ of the students. To test the theory that Stats in Psych students are smarter than the general population, which hypothesis test is appropriate
Mathematics
1 answer:
Shalnov [3]2 years ago
7 0

From the information given, a right-tailed test using the z-distribution is appropriate.

At the null hypothesis, it is <u>tested if the class of statistics students is not significantly smarter than the general population</u>, that is, their mean IQ is of at most 100, hence:

H_0: \mu \leq 100

At the alternative hypothesis, it is <u>tested if they are significantly smarter</u>, that is, their mean IQ is greater than 100, hence:

H_1: \mu > 100

  • We are testing if the mean is <u>greater than a value</u>, hence it is a right-tailed test.
  • We have the <u>standard deviation for the population</u>, hence, the z-distribution is used.

A similar problem is given at brainly.com/question/23413408

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Enter an equation in standard form.<br> Slope is 5, and (1,8) is on the line.
Georgia [21]

Answer:

5x -y = -3

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=5x+3

In the point-slope form is y−8=5(x−1)

If you don't want to do the work or don't know how: use a slope calcultor there are tons on google and they are rlly helpful

4 0
3 years ago
What is the perimeter and area of the photo below? And please show me how you did it. I need it for a school math group, and I’m
adoni [48]

Answer:

Assuming the area is made up of a square and a semicircle.

<u>Perimeter</u>

The side length of the square = 18 ft

We can see 3 full side lengths plus one side length from which we need to subtract 12 ft (see attached diagram).

⇒ perimeter of the square = (3 x 18) + (18 - 12)

                                                          = 54 + 6

                                                          = 60 ft

Circumference of a circle = \pid (where d is the diameter)

⇒ arc length of the semicircle = 1/2 circumference

                                                  = 1/2 · \pi · 12

                                                  = 6\pi ft

Total perimeter = 60 + 6\pi = 78.8 ft (nearest tenth)

<u>Area</u>

Area of a square = s² (where s is the side length)

⇒ area of square = 18²

                             = 324 ft²

Diameter = 2r  ⇒  r = 1/2 diameter

Area of a circle = \pir²  (where r is the radius)

⇒ area of the semicircle = 1/2 · \pi · 6²

                                         = 18\pi ft²

Total area = 324 + 18\pi = 380.5 ft² (nearest tenth)

6 0
2 years ago
What is the following sum? 40 POINTS
7nadin3 [17]

Answer:

option 1

Step-by-step explanation:

cube root of 125 = 5

cube root of 27 = 3

5+3 = 8

now take x^10 =cube root of x^(3+3+3+1)

cube root of x^10 = x^(1+1+1)+*cube root of x

cube root of y^13 = cube root of y^(3+3+3+3+1)

= y^4*cube root of y

so answer is opt 1

4 0
2 years ago
The speed of train A is 6 mph slower than the speed of train B. Train A travels 190 miles in the same time it takes train B to t
Zanzabum

Answer:

train A=38mph train B=44mph

Step-by-step explanation:

Setting up a table:

         s            t           d

A     x            190/x    190

B    x+6      220/x+6  220

Train A was 6mph slower as shown in the table, so to make it easier, train a is identified as x, train b would be x+6

Their distances are put in their respective column.

You find time from distance divided by speed.

So time would be written as such.

Since you know they take the same amount of time, for the equation, you connect them with an equal sign. Cross multiply to something like:

190(x+6)=220x

190x+1140=220x

1140=30x

x=38

You plug this in and get the speed for train A as 38, and train B as 44.

Hope this helps ^^

5 0
3 years ago
Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true concerning these two va
Kazeer [188]

Hi, i'm Molly here to help you with your math problem.

Answer:

Your answer would be A because as I did the equation this answer was the most likely. The steps are attached. Unfortunately brainly is even complicated than the old one so Ill have to sadly paste it here. :)

I just did it in an equation form if that is fine with you!


g(x) = 4x - 5


        g(2) = (4 * 2) - 5


       = 8 -5  

       = 3


         g(-4) = (4 * -4) - 5


        = - 16 - 5


        = - 21


Heres a key that may help you while evaluating the equation I made for you:


PEMDAS Is the order in which qualities of an equation should be used from first to last


1. Parenthesis  

2. Equation

3. Multiplication

4. Division

5. Addition

6. Subtraction

5 0
3 years ago
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