Using traditional methods, it takes 8.1 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 8.2 hours with a standard deviation of 1.2. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.

Answers

Answer 1

Answer:

The value of the test statistic is 0.4.

Step-by-step explanation:

The value of the test statistic is given by:

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Using traditional methods, it takes 8.1 hours to receive a basic flying license.

This means that [tex]\mu = 8.1[/tex]

A researcher used the technique with 23 students and observed that they had a mean of 8.2 hours with a standard deviation of 1.2.

This means that [tex]n = 23, X = 8.2, \sigma = 1.2[/tex]

Find the value of the test statistic.

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{8.2 - 8.1}{\frac{1.2}{\sqrt{23}}}[/tex]

[tex]t = 0.4[/tex]

The value of the test statistic is 0.4.


Related Questions

What is the great common factor between 68 and 54?​

Answers

Answer:

2

Step-by-step explanation:

Two plus two equals what

Answers

Answer: 4 or fish

Step-by-step explanation:

Answer:

2 plus 2 is equal to 4

Step-by-step explanation:

2+2:4

Kevin is designing a cover for a comic book. He wants to have a rectangular grid with x ^ 2 - 3x - 10 squares in it, for some positive whole number x. What are the possible side lengths for the grid?

A. There are no possible whole number side lengths.
B. (x + 2) and (x - 5)
C. (x - 2) and (x + 5)
D. (x + 2) and (x + 5)

Answers

Answer:

(X+2) and (x-5)

Step-by-step explanation:

Troy and Lisa were shopping for school supplies. Troy bought 3 notebooks and 5 thumb drives for $20.25. Lisa bought 8 notebooks and 8 thumb drives for $38. Find the cost of each notebook and the cost of each thumb drive.

Answers

Answer:

Step-by-step explanation:

3n + 5d = 20.25

24n + 40d = 162

8n + 8d = 38

-24n - 24d = -114

24n + 40d = 162

-24n - 24d = -114

—————————

16d = 48

d = 3

A drive costs $3

3n + 5(3) = 20.25

n = 1.76

A notebook costs $1.75

Find the value of x. Explain your work please.
Concurrency of Angle Bisectors

Answers

Answer:

[tex]x+5=2x-1[/tex]

combine terms

subtract x from both sides and add 1 to both sides

[tex]6=x[/tex]

Answer is A


1. What is the range of frequencies a human ear can hear?

Answers

Answer:

Humans can detect sounds in a frequency range from about 20 Hz to 20 kHz.

(Human infants can actually hear frequencies slightly higher than 20 kHz, but lose some high-frequency sensitivity as they mature; the upper limit in average adults is often closer to 15–17 kHz.)

WILL MARK BRAINLYIST
put median or altitude for the first part

Answers

1: altitude
2: median
3: for the last selections I can see I would put CJB.

Extremely sorry if this is incorrect.

what is the difference between a quadratic function and a quadratic equation​

Answers

Answer:

The roots of a quadratic equation simply tell what values of x will make the equation true. A quadratic function is a function where the largest power for the variable is 2. ... A quadratic equation is given to you so that you can solve it for the variable. A quadratic function is given to you so that you can graph it.

• Quadratic function:
- general form: f(x) = ax² + bx + c
- vertex form: f(x) = a(x - h)² + k
- Quadratic function is given so that you can graph it.

• Quadratic equation:
- General form: ax² + bx + c = 0
- Vertex form: a(x - h)² + k
- It is given so that you can solve it for finding the variable x.


Hope it helps!

Mark is buying different nuts to make a mixed nut platter to serve at a party. He buys 1.2 kilograms of peanuts, 300 grams of almonds and 40 dekagrams of cashews. What is the total weight in grams of the nuts he purchased? Enter only the number. Do not include unit

Answers

Answer:

1900

Step-by-step explanation:

1 kg = 1000g

1.2kg = x

1 kgx = 1200 kg.g

1kg. 1kg

x = 1200 g

1 decagram = 10g

40 decagram = x

1 dg.x = 400 dg.g

1 dg. 1 dg

x = 400g

so the total= 1200g +300 + 400g=1900g

without the unit = 1900

3 cos 2x + Sinx = 1 for
0° ≤x ≤ 360​

Answers

Answer:

x = 41.81°, 138.19°, 210°, 330°

Explanation:

3cos(2x) + sin(x) = 1

subtract one from both sides

→ 3cos(2x) + sin(x) − 1 = 0

rewrite using trigonometry identities

→ 2 + sin(x) − 6sin²(x) = 0

solve x by substitution

f(x) = 2 + sin(x) − 6sin²(x)

= 2 + 4sin(x) - 3sin(x) − 6sin²(x)

= −2sinx(3sinx −2) − (3sinx−2)

= (3sinx −2)(−2sinx−1)

= −(3sinx −2)(2sinx+1)

f(x) = 2 + sin(x) − 6sin²(x) = 0

= −(3sinx −2)(2sinx+1) = 0

(3sinx −2) = 0 (2sinx+1) = 0

→sinx = 2/3 →sinx = −1/2

x = 41.81°, 138.19° x = 210°, 330°

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

Math sucks helppppp pls

Answers

Answer:

B

Step-by-step explanation:

Perimeter of the composite shape = ½ of the circumference of a circle + perimeter of a rectangle - Length of the rectangle

= ½*2πr + 2(L + W) - L

Where,

r = 8

π = 3.14

L = 16

W = 12

Perimeter of the composite shape = ½(2*3.14*8) + 2(16 + 12) - 16

= 25.12 + 56 - 16

Perimeter of the composite figure = 65.12 inches

Area of the composite figure = ½(πr²) + L*W

= ½(3.14*8²) + 16*12

= 100.48 + 192

Area = 292.48 square inches

The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 800 voters in the town and found that 51% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 47%. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

hope this helps!!                        

mark me brainlist? this took a lil bit

a store charges 32% extra for credit items. if the cash price is $1100, what is the credit price?​

Answers

Answer:

$1452

Step-by-step explanation:

[tex]CP=1100*1.32=$1452[/tex]

#5 Mr. Awesome & Mrs. Amazing had their students count how many pencils they each had in their pencil boxes. The box plots display the data for both classes. NUMBER OF PENCILS Mc. Awesome's Class Mrs Amazing's Class 앵 0 1 2 3 10 12 13 14 4 15 16 17 18 19 20 Which statement is best supported by the information in the box plots? A) The data for Mr. Awesome's class is more symmetrical than the data for Mrs. Amazing's class. B) The interquartile range of the data for Mr. Awesome's class is less than the interquartile range of the data for Mrs. Amazing's class. The median number of the data for Mr. Awesome's class is less than the median number of the data for Mrs. Awesome's class. D) The range of the data for Mc Awesome's class is less than the range of the data for Mrs. Amazing's class. Amazno Mihemetics​

Answers

Bbsshhshshshdhdhdgdbdbbshdhd

Need help with a math question urgently

If 1

Answers

Answer:

Wheres the picture-

Step-by-step explanation:

A submarine is 84 feet below the surface of the water and descends 10 feet
deeper every minute. How many minutes will it take for the submarine to be
located 219 feet below the surface? Write and solve an equation,

Answers

Answer:

13.5

Step-by-step explanation:

219-84=135

10*13.5=135

so it would take 13.5 minutes to get to 219 since 84+135=219

(2x)⁴ = (2x)(2x)(2x)(2x)
(xy)⁷ =
(-ab)⁶ =

write in expanded form​

Answers

Step-by-step explanation:

(xy)(xy)(xy)(xy)(xy)(xy)(xy)

(-ab)(-ab)(-ab)(-ab)(-ab)(-ab)

pLeAsE HuRrY Lol what’s 1+1=

Answers

There are 2 answers to this question

First Answer:

1+1=2

Second Answer:

Window

Explanation:

1 goes on the top

1 goes on the bottom

The first - of the = goes on the side

The second - of the = goes on the other side

The + sign goes in the middle

Heres a picture example:

I hope this helps you have a good day/night/afternoon

Which statement about the graph of y
3x + 5 is correct?

A. The line passes through the ordered pair (3,0) and has a slope of 5.

B. The line passes through the ordered pair (0,5) and has a slope of 3.

С. The line passes through the ordered pair (5,20) and has a slope of 5/3

D. The line passes through the ordered pair (3, 14) and has a slope of 3/5

Answers

It is B as 5 is the y intercept in the equation. Checked with a graphing calculator. B is the answer

The correct statement for the equation of the line is the line passes through the ordered pair (0,5) and has a slope of 3.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Compare the given equation of the line y = 3x + 5 with the general equation.

y = mx + c

y = 3x + 5

The slope, m = 3

y-intercept = 5

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

4x-5y=18 determine the missing coordinate in the ordered pair (-2,?) so that it will satisfy the given equation

Answers

?= -5.2

Because plug in numbers
(x,y)
4(-2) - 5y = 18
Pemdas
-8 -5y = 18
Add 8 to both sides
-5y = 26
Divide -5 both sides
y = -5.2

Check:
4(-2) -5(-5.2) = 18
Pemdas
-8 -5(-5.2) = 18
Pemdas, two negatives make a positive
-8 +26 = 18
18 = 18

Perhaps

Imari went on a hike and recorded the number of each type of bird he saw. The circle graph shows the results of his count.

Imari saw 42 sparrows.

How many birds did he count in all?



Enter your answer in the box.

Answers

Step-by-step explanation:

step 1. 42 represents 35% of the birds.

step 2. 42/.35 = all of the birds counted.

step 3. 42/.35 = 120.

step 4. There are 120 total.

Answer:

120

Step-by-step explanation:

What expression simplifies to 2i ? help asap lots of points

Answers

Answer:

Step-by-step explanation:

First, consider the following expression.

(6x + 8) + (4x + 2)

To simplify this expression, you combine the like terms, 6x and 4x. These are like terms because they have the same variable with the same exponents. Similarly, 8 and 2 are like terms because they are both constants, with no variables.

(6x + 8) + (4x + 2) = 10x + 10

The absolute value of the complex number, 2i, is 2. We can put the complex number, 2i, in the form a + bi by letting a = 0.

Which of the following points have a distance of five units between them? Select all that apply 

A.)(-2,5) and (3,7)
B.)(10,5) and (7,9)
C.)(1,10) and (6,5)
D.)(-4,-8) and (-4,-5)
E.)(2,-5) and (6,-8)

Answers

Answer:

C. (1, 10) and (6, 5)

Step-by-step explanation:

To find the point with a distance of 5 units.

Let the points be x and y.

x = x1 and x2

y = y1 and y2

x2 - x1 = 5 units

y2 - y1 = 5 units.

A quick look at the options, we can tell that the correct option is C.

From points (1, 10) and (6, 5)

x1 = 1, x2 = 6, y1 = 10 and y2 = 5

Substituting into the equation above, we have;

x2 - x1 = 6 - 1 = 5 units

y2 - y1 = 5 - 10 = -5 units.

Therefore, option C with points (1,10) and (6,5) have a distance of five units between them.

solve 3e = -27 show work
this one i dont understand how to do​

Answers

Answer:

-9

Step-by-step explanation:

This would be -27/3 = -9



F= 200 lbs, d = 10 ft, How much work is performed?

Answers

Answer:

Step-by-step explanation:

Work = (force) x (distance)

= (200 lb) x (10 ft)  =  2,000 ft-lbs .

Raina picks 20 flowers
1/4 are roses 2/5
are daisies
How many flowes are lilies?

Answers

Answer:

7 of the flowers were lilies.

Step-by-step explanation:

8 daises and 5 roses were picked. 8 + 5 = 13    20 - 13 = 7

7 of the flowers were lilies

Which is the inverse of the function f (x) = 1/4x + 1/2

Answers

Answer:

f⁻¹(x) = 4x - 2

Step-by-step explanation:

To find the inverse of a function, switch the places of x and y (or f(x)).

f(x) = 1/4x + 1/2 → y = 1/4x + 1/2

Switch the variables.

x = 1/4y + 1/2

Now you want to convert the equation back into y = mx + b form.

x = 1/4y + 1/2

Subtract 1/2 from both sides.

x - 1/2 = 1/4y

Now, you want to isolate y further by dividing both sides by 1/4 (or multiplying by 4).

4(x - 1/2) = y

Distribute the 4.

4x - 2 = y → y = 4x - 2 → f⁻¹(x) = 4x - 2

This is the inverse of your given function.

( 0) + ( -8) + (+4) =

( 0) + ( -3) + ( -4) =

Answers

Answer:

1. -4

2. -7

(don't quote the 0)

Answer:

1) -4

2) -7

Step-by-step explanation:

1) 0 + (-8) + 4 =

0 - 8 + 4 =

-8 + 4 =

= -4

2) 0 + (-3) + (-4) =

0 - 3 - 4 =

= -7

James was putting the table cloth back on the table after dinner. The table is 25 inches long and 10 inches wide. If the table cloth hangs 5 inches off each side, what is the area of the table cloth?

Answers

Answer:

3000

Step-by-step explanation:

Answer:  700 square inches

===============================================================

Explanation:

The dimension 25 bumps up to 25+5+5 = 35 since we add two copies of 5 onto it. This is done to account for the portions that hang off the edge.

Similarly, the 10 inch dimension bumps up to 10+5+5 = 20 inches.

The table cloth is 35 inches by 20 inches to give an area of 35*20 = 700 square inches.

Side note: 700 square inches is approximately equal to 4.861 square feet (divide by 144 to convert from square inches to square feet).


solve
y+ 5- y + 4 = ​

Answers

Answer:

9

Step-by-step explanation:

its 9 lol

Answer:

9

Step-by-step explanation:

Solve:

y-y= 0y or 0

5+4= 9

Hope this helps!

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