A team of scientists are conducting research on the effect of word fonts used in road signs on accident rates. Across the population, there is an average of μ = 40 accidents per year due to unclear road sign fonts, with a standard deviation of σ = 10. The distribution is approximately normal. The team believes that certain fonts are difficult to read and may cause accidents, and it wants to implement a change to road sign fonts nationwide. The team is recommending a new font to replace the old fonts in road signs. After a series of studies, the team finds that the new font decreases accidents. However, the effect size is rather small (d = - 0.2). If the change to road sign fonts is implemented and there truly is an effect, it is expected that the new average rate of accidents will be: μ = 38 (i.e., hypothesized mean of the treatment group). In other words, this change should decrease accidents by 2, on average. [50 points total]

A.) Because implementing such large-scale changes is very costly, the government wants to be sure that the investment will be impactful. For a hypothesis test, they want the α-level to be small to minimize error. It is decided that α = 0.01, and a one-tailed test will be used. [50 points]

-What type of error is minimized by setting a stricter (smaller) α-level?

-With a one-tailed hypothesis test at α = 0.01, use the unit normal table to find the zscore that marks the critical region.

B.) A sample of n = 100 people are selected to go through a road trial with new fonts in the road signs. Again, the treatment is expected to decrease accidents by 2 on average. If the researchers use a one-tailed hypothesis test with α = 0.01, what is the power of the hypothesis test? [10 points]

C.)An external consultant is worried that there may not be enough power to detect such a small effect with such a small sample size. The consultant recommends that the researchers select a sample of n = 400 people instead. With this new sample size, and assuming a one-tailed hypothesis test with α = 0.01 again, what is the power of the hypothesis test?

D.)Based on your answers in 3(b) and 3(c), calculate the probability of making a Type II error in both cases and explain what the values mean.

E.) Explain how sample size influences power. Discuss what this means in terms of the conclusions you might make in hypothesis testing. (You can use your answers in 3(b) and 3(c) as an example.)

Answers

Answer 1

Answer:

Step-by-step explanation:

You should start by


Related Questions

Which expression means the same as subtract 3 from 7 and then multiply by 4

Answers

7-3x4 subtract 3 from 7 means you need to take 3 out of 7 (7-3) then you need to multiply that by 4! Hope this helped!

There are 5 fourth-grade classes at Lincoln School. The table below shows the number of students in each class. Which is the median number of students per class?
23
24
25
26

Answers

24 students per class

Suppose that 30% of all students who have to buy a textbook for Statistics want a new copy (the successes!), while the rest 70% want a used copy. Consider randomly selecting 15 buyers. (a) Find the mean and standard deviation for the number who want to buy a new copy of the book Mean = 15*.3 Standard deviation = sqrt(15*.3*.7) (b) Is that probability that the number of buyers who want new copies is more than two standard deviations away from the mean value? Probability= 1-.984757474+.004747562 (c) The bookstore has 13 new copies and 13 used copies in stock. If 15 people come in one by one to buy this textbook, what is the probability that all 15 will get the type of book they want from current stock? Probability= .999999483-.0352676 Hint: Consider X: the number of buyers who want a new copy. For what values of X will all 15 buyers get what they want? (d) Suppose that new copies cost $134 and used copies cost $67. Assume that the bookstore has currently 15 new copies and 15 used copies. What is the expected total revenue from the sale of the next 15 copies? Expected Revenue=

Answers

Step-by-step explanation:

a.

mean = E(X)

= no = 15 x 0.3

= 4.5

Standard deviation

= √np(1-p)

= √15x0.3x0.7

= √3.15

= 1.775

B.

Probability of number of buyers who want new copy

P(x>mean+2sd)

= P(x>4.5+2(1.775))

P(x>8.05)

= 1-(0.984757474+0.004747562)

= 0.01049

= 0.0105

C.

Σ13 (15Cx) x (0.3^x)(0.7)^15-x

= 0.9647

D. (4.5*237)+(15-4.5)*67

= 616.5+703.5

= $1320

Expected revenue from sale of next 15 copies is $1320

Please help ASAP 15 points

Answers

Alternate interior angles - <4 & <6

Vertical angles - <5 & <7

Alternate exterior angles - <1 &<7

Supplementary angles - <6 & <7

Corresponding angles - <8 & <4

Consecutive interior angles - <3 & <6

Marcia has 412 flowers for centerpieces she uses 8 flowers for each center how many center pieces can she make

Answers

Answer:

5l.5

Step-by-step explanation: 412 divieded into 8 is 51 or 51.5

Answer:

51

Step-by-step explanation:

To find how many centerpieces she can make, divide 412 by 8, since she has 412 flowers and uses 8 for each one:

412/8

= 51.5

Since centerpieces can only be whole numbers in the real world, this has to be rounded down to 51.

So, she can make 51 centerpieces.

12 points ik its not alot but i need help please.The table shows the prices of some breakfast items at a restaurant. Sara ordered 2 eggs, a slice of bacon, and a glass of orange juice for breakfast. The sales tax for the order was $0.48. She paid for her breakfast with a $10 bill.

Item Price
One egg $1.69
Slice of bacon $1.49
Glass of orange juice $1.09
How much change should Sara receive from a $10 bill? pls show work

Answers

Answer:

The change should Sara receive from the $10 bill is $3.56.

Step-by-step explanation:

Given:

The table shows the prices of some breakfast items at a restaurant.

Item                                      Price

One egg                               $1.69

Slice of bacon                      $1.49

Glass of orange juice          

$1.09

Sara ordered 2 eggs, a slice of bacon, and  a glass of orange juice for breakfast.

The sales tax for the order was $0.48.

She paid for her breakfast with a  $10 bill.

Now, to find the change should Sara receive from the $10 bill.

Bill for the Sara's breakfast:

2 eggs =

A slice of bacon = $1.49.

A glass of orange = $1.09.

The sales tax = $0.48.

Total bill =

Sara paid for the breakfast bill = $10.

Now, to get the change Sara should receive we subtract the amount of bill from the money Sara paid for the bill:

Therefore, the change should Sara receive from the $10 bill is $3.56.

Answer:

Her change would be 3 dollars and 56 cents

Step-by-step explanation:

1.69 times 2 because she ordered 2 eggs

1.49 for the bacon

1.09 for the orange juice

0.48 for the sales tax

add them all up

it would equal 6.44

then subtract 6.44 from 10 which would equal 3.56


A circle has a diameter of 22 cm. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

[tex]\boxed {\tt 69.08 \ centimeters}[/tex]

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

[tex]c= \pi d[/tex]

where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.

[tex]d= 22 \ cm[/tex]

[tex]c= \pi* 22 \ cm[/tex]

We also know we are using 3.14 for pi. Substitute it in for pi.

[tex]c= 3.14 * 22 \ cm[/tex]

Multiply.

[tex]c=69.08 \ cm[/tex]

The circumference of the circle is 69.08 centimeters.

Answer:

Circumference = 69.08 cm

Step-by-step explanation:

Diameter = 22

Radius = 22/2

= 11

Circumference = 2πr

= 2 × 3.14 × 11

= 69.08 cm

Hoping it helps

Please follow me

Drag the numbers to order them from least to greatest.
0.7
-4.5
0.3
-0.5
2.3

Answers

Answer:

-4.5 -0.5 0.3 0.7 2.3

Step-by-step explanation:

A projectile is launched upward with a velocity of 256 feet per second from the top of a 35-foot structure. What is the maximum height attained by the projectile?

Answers

Answer:

  1059 ft

Step-by-step explanation:

For problems like these, we assume the acceleration due to gravity is -32 ft/s², so the velocity will decrease to zero in time t, where ...

  0 = 256 -32t

  32t = 256

  t = (256 ft/s)/(32 ft/s² ) = 8 s

Since velocity is linearly decreasing from 256 ft/s to 0, its average value of 128 ft/s will serve to tell us the height attained.

Height attained is ...

  35 ft + (128 ft/s)(8 s) = 35 ft + 1024 ft = 1059 ft

The maximum height attained by the projectile is 1059 feet.

a student provided the following solution an equation.what mistake did the student make?

Answers

Answer:

Where are the students answers.

Step-by-step explanation:

Find the distance benveen the points A (13, 2) and B (7, 10).
The distance between the two points is ?

Answers

A = (13, 2)
B = (7, 10)

the distance between point A and point B is 10

The product of y and 2

Answers

Answer:

2y

From: iOE your friend

*Be awesome Be you*

Are the lines Y= -X +5 and 2X + 2y=6 perpendicular?

Answers

Answer:

no

Step-by-step explanation:

What is the difference between the exact simple interest and the ordinary simple interest on a 200-day loan of 5,000 at 12%

Answers

Answer:

  4.56

Step-by-step explanation:

"Ordinary" interest will be more than "exact" interest because the number of days in a year is a smaller value. The difference will be ...

  Io = Prt = 5000(0.12)(200/360) = 333.33

  Ie = Prt = 5000(0.12)(200/365) = 328.77

The difference is ...

  333.33 -328.77 = 4.56 . . . the difference in interest values

_____

Additional comment

The question asks for the difference between exact and ordinary interest, so the result is technically negative:

  328.77 -333.33 = -4.56

Darlene earned 6.75 interest in her savings account for a 15-month period. What was the average amount of interest Darlene earned on her savings account per month?

Answers

12345 nicccccccccccccceeeeeeeeeee

Which characteristics do Jupiter and Saturn share? Check all that apply.
A.) Mostly made of gas
B.)Have few moons
C.) Same size as earth
D.) They have rings
E.) They have thick atmospheres

Answers

Answer:

correct is A, D, and E

hope it help! please make me a brainliest!

Answer:

A.) Mostly made of gas

D.) They have rings

E.) They have thick atmospheres

Step-by-step explanation:

please help

The Maxwell family goes out for
dinner, and the price of the meal is
$60. The sales tax on the meal is 7%,
and they also want to leave a 15% tip.
What is the total cost of the meal?

Answers

$75 :) you just had to add the normal price and tip

sales tax = $60x0.07=$4.20

$60-$4.20=$55.80

tip = $60x0.15=$9

overall, $55.80+$9=64.80$ - total cost

not sure, but i think that's the way you do it

Write the equation of the line passing through the points (-7,7) and (7,1).

Answers

Answer and work down below. Let me know if you have questions

What is 9/10 divided by 5/10

Answers

Answer:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{5}{10}[/tex] = 1.8 / [tex]\frac{9}{5}[/tex] (or 1 [tex]\frac{4}{5}[/tex])

Step-by-step explanation:

when you convert these fractions to decimals, you get 0.9 and 0.5. then multiply them. the answer is 1.8 as a decimal, 9/5 as a fraction, or 1 4/5 as a mixed number.

Answer:

ur mom ;),its 1.8, just delete it i swear :D

The width of a rectangle is 1.9 feet. The perimeter is 7.4 feet. What is the length?

Answers

Answer:

1.8 feet

Step-by-step explanation:

This is the answer because:

Perimeter = L + W + L + W

1) Since we know the width of the rectangle is 1.9 feet, let's add 1.9 + 1.9 which is 3.8

2) Now, we know the total perimeter is 7.4, therefore, subtract 7.4 - 3.8 which is 3.6

3) Next, divide 3.6/2 which is 1.8

4) Finally, you can check your work by adding 1.8 + 1.8 + 1.9 + 1.9 which equals 7.4

Hope this helps!

Which number is less than 8.350
A8.503
B8.305
C8.530
D8.355

Answers

Answer:

b

Step-by-step explanation:

It is answer b 8.305

0.007 0.07 0.7 7 what’s next

Answers

Answer:

77

Step-by-step explanation:

Because your slowly moving up a place

PLEASE HELPP
What is the value of m?

13m+3−56m=−15

m=−36
m=−27
m = 27
m = 36

Answers

Answer:

m = 18/43.

Step-by-step explanation:

13m + 3 − 56m = −15

13m - 56m = -15 - 3

- 43m = -18

m = 18/43.

Answer: plz mark me as brainiest

i took the test and its 36

Why did I get this question wrong?

Answers

You set up was almost accurate. Remember the arc length formula:

If f'(y) is continuous on the interval [a,b], then the length of the curve x = f(y), a ≤ y ≤ b should be;

L = ∫ᵇ ₐ √1 + [f'(y)]^2 * dy

We have to find the length of the curve given x = √y - 2y, and 1 ≤ y ≤ 4. You can tell your limits would be 1 to 4, and you are right on that part. But f'(y) would be rather...

f'(y) = 1/(2√y) - 2

So the integral would be:

∫⁴₁ √1 + (1/(2√y) - 2)² dy

Using a calculator we would receive the solution 5.832. Their is a definite curve, as represented below;

Answer:

s = ∫₁⁴ √(1 + (1/(2√y) − 2)²) dy

s = 5.8319

Step-by-step explanation:

Arc length is:

s = ∫ ds

s = ∫ √(1 + (dx/dy)²) dy

Find dx/dy:

x = √y − 2y

dx/dy = 1/(2√y) − 2

Substitute:

s = ∫₁⁴ √(1 + (1/(2√y) − 2)²) dy

Evaluate with a calculator:

s = 5.8319

9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of
20%. Find
1) the cost price of the article
2)the selling price of the article​

Answers

Answer:

The cost price of the article was Nu 1,000

The original selling price was Nu 1,120

The second selling price was Nu 1,200

Step-by-step explanation:

System of Equations

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

[tex]x-y=0.12y[/tex]

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

[tex]x+80-y=0.2y[/tex]

Let's put both equations together to form a system of equations:

[tex]x-y=0.12y[/tex]

[tex]x+80-y=0.2y[/tex]

Operating on both equations:

[tex]x=1.12y[/tex]

[tex]x=1.2y-80[/tex]

Equating both equations, we have an equation with only y's:

[tex]1.12y=1.2y-80[/tex]

Subtracting 1.2y on each side:

[tex]1.12y-1.2y=-80[/tex]

Operating:

[tex]-0.08y=-80[/tex]

Solving:

[tex]\displaystyle y=\frac{-80}{-0.08}=1,000[/tex]

a)

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

Practice using a table to determine key features of the graph of a continuous function. A 2-column table with 6 rows. The first column is labeled x with entries negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 9, negative 8, negative 7, 0, 19, 56. What is the x-intercept of the continuous function shown in the table? (0, –8) (0, 2) (–8, 0) (2, 0)

Answers

Answer:

2,0

Step-by-step explanation:

Answer:

the answer too this answer is 2.0

Step-by-step explanation:

I just did it on edge i got it right.

An animator is drawing a scene in which a ladybug moves around three mushrooms. The figure shows
the starting position of the ladybug. The animator rotates the ladybug 180° around mushroom A, then
180° around mushroom B, and finally 180° around mushroom C. What are the final coordinates of the
Ladybug?

What are the final coordinates of the ladybug?

Answers

Answer:

(-1, 4)

Step-by-step explanation:

Original position of the ladybug → (-1, 4)

Animator rotates the ladybug 180° around the mushroom A.

Coordinates of the new position of the ladybug → (-5, -4)

Now this point is rotated by 180° around the mushroom B,

Coordinates of the new position → (0, 3)

Point (0, 3) has been rotated again by 180° about the mushroom C,

Coordinates of the new position → (-1, 4)

Therefore, ladybug will come back to its original position after these transformations at (-1, 4).

Need help ASAP Need help ASAP Need help ASAP Need help ASAP Need help ASAP

Answers

Answer:

sia lagoa dak ja jswek surang jawaek see surang

Answer:

the range is four

14 for the second answer

Step-by-step explanation:

A school has 415 third graders and 338 second graders. How many more third
graders are there than second graders?

Answers

Answer:

75

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Just do simple subtraction 415-338=77

Find the measures of the following angles.

Answers

Answer:

1: 36° 2: 122° 3: 122° 4: 38°

Step-by-step explanation:

First start out by getting 2 and 3. so 58+angle 3 has to sum to 180° since they are supplementary and are a straight line. So 180-58=122. Angle 2 is the same since theyre vertical. then since a triangle has 180° total, you subtract from 180 to find the final angle measurement.

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