Using traditional methods, it takes 11.5 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 22 students and observed that they had a mean of 11.7 hours with a standard deviation of 1.4. 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: 0.670

Step-by-step explanation:

Given that :

Population mean (μ) = 11.5

Sample size, n = 22

Sample mean, x = 11.7

Standard deviation, s = 1.4

The test statistic ;

Tstat = (x - μ) / (s/√n)

Tstat = (11.7 - 11.5) / (1.4/sqrt(22))

Tstat = 0.2 / 0.2984810

Tstat = 0.6700594

Tstat = 0.670 (3 decimal places )


Related Questions

1.6[7-4m]=30
2.[5+6a]-3=8

Answers

Answer:

(a,m=(-1499/1812, 1/2)

Step-by-step explanation:

hope this helps!

xy = -9
Linear
Or nonlinear

Answers

nonlinear because the x is being multiplied to the y, and it cannot be written in standard form, and when graphed it’s a hyperbola

Use the compound interest formula to compute the total amount accumulated and the interest earned.

$2000 for 4 years at 6% compound quartley

Answers

Answer:

100

Step-by-step explanation:

100

A sample of 173 students using Method 1 produces a testing average of 88. A sample of 127 students using Method 2 produces a testing average of 53.5. Assume the standard deviation is known to be 12.22 for Method 1 and 13.59 for Method 2. Determine the 95% confidence interval for the true difference between testing averages for students Method 2.

Answers

Answer:

43 < μ₁ - μ₂  < 49

Step-by-step explanation:

Sample 1:

Mean      x₁    =  88

Sample size    n₁  = 173

Sample standard deviation    s₁  =  12,22

Sample 2:

Mean      x₂    =  53,5

Sample size    n₂  = 127

Sample standard deviation    s₂  =  13,59

CI   95 %        α  =  5%    α = 0,05    α/2  = 0,025

We need to find:

(  x₁  -  x₂  ) - tα/2,v *√ (s₁²/n₁ ) + (s₂²/n₂) < μ₁ - μ₂  < (  x₁  -  x₂  ) + tα/2,v *√ (s₁²/n₁ ) + (s₂²/n₂)

v = degree of fredom    

v  = [ ( s₁²/n₁ + s₂²/n₂)² / (s₁²/n₁)² /n₁-1  + (s₂²/n₂)²/n₂-1

v =  [ (0,86 + 1,45 ) / 0,0043 +  0,017

v = 2,31 / 0,0213

v = 108

Then  t 0,025, 108  from t table is:  We will take v = 100

t = 1,984

Now

√ (s₁²/n₁ ) + (s₂²/n₂)  =  √ 0,86  + 1,43

√ 2,3   = 1,51

Then: CI:

(173 - 127 ) -  1,984*1,51    < μ₁ - μ₂  < ( 173 - 127 )  +  1,984*1,51

46 - 3  < μ₁ - μ₂  < 46 + 3

43 < μ₁ - μ₂  < 49

please help me please i really need help

Answers

Answer:

Step-by-step explanation: It you start by getting rid of the 1/2x+1/2x it makes x=x/1. X/1 is x so x=x. X can be anything!

0 = 1 ; no solution.

what is the simplest form of 153/8 - 11 1/5.

Answers

Answer:

[tex]7\frac{37}{40}[/tex]

Step-by-step explanation:

What is the distance between the points (-1,4) and (7,4)?

Answers

Answer:

8

Step-by-step explanation:

=(7−(−1))2+(4−4)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(8)2+(0)2‾‾‾‾‾‾‾‾‾‾√

=64+0‾‾‾‾‾‾√

=6‾√4

=8

How many solutions does the following equation have 74y - 8 -78y = -4y - 8

Answers

Answer:

a lot

Step-by-step explanation:

infinite solutions because they are equal to each other

Solve the following problems:
Given: AAFD, mZF=90°
AD = 14, mZD=30°
Find: Area of AAFD
F
D

Answers

Area of AAFD= 54centimeters squared

Please help!
A jar top is shaped like a circle. The circumference of the top is 20π centimeters.

Which measurement is closest to the area of the top in square centimeters?

31.4 cm²
62.8 cm²
314 cm²
1,256 cm²

Answers

Answer: The answer is 1,256 cm

Answer:

1,256 cm²

Step-by-step explanation:

HELP PLSSSSS :((((((

Answers

Hope it help youuuuuuuuu <3

I need help with this question please.​

Answers

Answer:

A

Step-by-step explanation:

Daniel has 6 erasers. He gives one to PJ. and he gives one to Ken.
He keeps the rest. What fraction of his erasers did he give away?​

Answers

Answer:

2/6 a.k.a 1/3

Step-by-step explanation:

Who names a child P.J?

Which fact is related to 12 = 3 = 4?
I need help

Answers

Answer:

factors

Step-by-step explanation:

Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel. An
American roulette wheel has 38 numbered slots - half of the slots from 1 to 36 are red and the other half are
black. Slots 0 and 00 are both green.
Suppose that a player bets $1 on the color red. If the ball lands in a red slot, the player gets their initial $1 back
plus a payout of $1. If the ball doesn't land in a red slot, they lose their $1 bet. Let X = the player's net gain
from a $1 bet on a the color red. Here is the probability distribution of X:
Win
Lose
X = net gain $1
-$1
18
P(X)
20
38
38
Calculate the mean of X.
You may round your answer to the nearest thousandth.
E(X) =
dollars

Answers

Answer: -0.053

Step-by-step explanation:

1•(18/38) + -1 •(20/18) = -0.053

• =multiply or times

Help please

What is the answer I’m struggling

Answers

I believe the answer is x=120

Answer:

x equal 120 I did this question

A library has five copies of a certain textbook on reserve of which two copies (1 and 2) are hardcover books and the other three (3, 4, and 5) are softcover books. A student examines these books in random order, stopping only when a softcover book has been selected. One possible outcome is 5, and another is 213. (Enter your answers as a comma-separated list. Enter Ø for the empty set.)

Required:
a. List the outcomes in S
b. Let A denote the event that exactly one book must be examined. What outcomes are in A?
c. Let B be the event that book 5 is the one selected. What outcomes are in B?
d. Let C be the event that book 1 is not examined. What outcomes are in C?

Answers

Answer and Step-by-step explanation:

(a) Since the student have to stop when he gets to w softcover book, then the sample space should always stop at either 3 or 4 or 5. If the students examines the books randomly and stops at a softcover book, here are the possible ways he could carry this out,

S = {3, 4, 5, 13, 14, 15, 23, 24, 25, 123, 124, 125, 213, 214, 215}

2. Since only one book is to be examined then the student must check only one softcover book and end the examining. To do this, either he examines just 3 or 4 or 5. Therefore,

A = {3, 4, 5}

3. We need to pick the possibilities from the sample space that shows that the examining ended at book 5. Therefore,

B = {5, 15, 25, 125, 215}

4. We need to pick possibilities from the sample space that shows that book 1 was not examined. Therefore,

C = {3, 4, 5, 23, 24, 25}

a college says it admits only people with sat scores among the top 10%. how high an sat score does it take to be g

Answers

Full question:

Suppose SAT scores among students are normally distributed with a mean of 500 and a standard deviation of 100.

If a college says it admits only people with sat scores among the top 10%. how high a sat score does it take to be eligible?

Answer and explanation:

To find where SAT score of student falls in the test given mean and standard deviation of scores, we can calculate: x-500/100 where x is number of SAT score of students

A sat score in the top 10% region would have a score better than 90% of other SAT scores. Therefore 0.90 has a z score of 1.28

We use algebra to find the score to be eligible thus:

1.28=x-500/100

x-500=128

x=128+500

x=628

Therefore to be eligible, a student needs to score at least 628, and be in the top 10% of scores

Which of the following is a linear function?
0 x= 1/3x=y - 3
Oy = x^3 + 2
Oy = 6x^2
Oy = 2/3х

Answers

It should be the last option. With linear functions, you should be graphing a straight line.

The linear functions are 1/3x=y-3 and y=2/3x. Therefore, options A and D are the correct answer.

What is a linear function?

A linear function is a function that represents a straight line on the coordinate plane. The highest power of the variable is one.

Given are some equation, from the options, we need to identify which is a linear function.

1/3x=y-3 is the linear function in two variables.

y=x³ is the cubic function.

y=6x² is the quadratic function.

y=2/3x is the linear function in one variable.

Therefore, the linear functions are 1/3x=y-3 and y=2/3x.

To learn more about the linear functions visit:

brainly.com/question/21107621.

#SPJ7

Complete the table of values for y=3-2x​

Answers

Answer:

1) y = -1

2) y = 3

3) y = 5

4) y = 9

Step-by-step explanation:

1) when x = -2

y = 2x + 3

y = 2(-2) +3

y = -1

2) when x = 0

y = 2x + 3

y = 2(0) +3

y = 3

3) when x = 1

y = 2x + 3

y = 2(1) +3

y = 5

4) when x = 3

y = 2x + 3

y = 2(3) +3

y = 9

Simplify. Express your answer using a single exponent.
(2m3)4

Answers

Answer:

16m^12

Step-by-step explanation

Please answer this ASAP only right answers A.) 5 B.) 8 C.) 14 D.) 9

Answers

Answer: The answer is 9

Step-by-step explanation: 9 is the number and thats what median means.

Answer:

D.) 9

Step-by-step explanation:

The box and whisker plot gives you the answer about the median. It's mainly just the middle line of the box.

What are the correct justifications, listed in proper order?

Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
Double Angle Identity, Simplify, Double Angle Identity, Quotient Identity for Tangent
Double Angle Identity, Simplify, Quotient Identity for Tangent, Double Angle Identity
Double Angle Identity, Quotient Identity for Tangent, Double Angle Identity, Simplify

Answers

Answer: A

Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity

Step-by-step explanation:

Answer:

it's a

Step-by-step explanation:

I need help on this question

Answers

I think the answer is 16

Solve: -3x+8+5x = -4

Answers

Answer:

X=-6

If satisfied, please mark brainliest

Step-by-step explanation:

-3x+8+5x=-4

Subtract 8 from both sides and add

2x=-12

X=-6

Step 1: Simplify both sides of the equation.

−3x+8+5x=−4

(−3x+5x)+(8)=−4(Combine Like Terms)

2x+8=−4

2x+8=−4

Step 2: Subtract 8 from both sides.

2x+8−8=−4−8

2x=−12

Step 3: Divide both sides by 2.

2x

2

=

−12

2

x=−6

If you eat 5 grapes per minute for 8 minutes, how many grapes will you eat?

Answers

Answer:

40 Grapes

Step-by-step explanation:

5x8=40

Answer:

40 grapes

Step-by-step explanation:

5 x 8

or

repeated addition, 5+5+5+5+5+5+5+5

Please help I’m so close to passing math

Answers

Answer:

See below.

Step-by-step explanation:

The unit rate is the cost per thing. You just divide the cost by the amount:

$7.38/18 ounces = $0.41/1 ounce

$15.39/27 ounces = $0.57/1 ounce

Therefore, $7.38 for 18 ounces is the better option.

SUPER EASY MATH! WILL MARK BRAINLIEST!Given the vectors in component form:

r = ⟨8, 4⟩

s = ⟨–3, –4⟩

t = ⟨–5, 1⟩

Perform the operations.

5r – 3s + 8t

What is the magnitude and direction angle of the resultant vector?

A. 10.8, θ = 56.3°
B. 18.4, θ = 119.4°
C. 41.0, θ = 77.3°
D. 97.6, θ = 24.2°

Answers

9514 1404 393

Answer:

  C.  41.0, θ = 77.3°

Step-by-step explanation:

The sum is ...

  5(8, 4) -3(-3, -4) +8(-5, 1) = (5·8-3(-3)+8(-5), 5·4-3(-4)+8·1)

  = (40+9-40, 20+12+8) = (9, 40)

The magnitude is ...

  √(9² +40²) = √1681 = 41

The angle is ...

  arctan(40/9) ≈ 77.3°

The resultant magnitude and direction is 41∠77.3°.

Answer:

41.0, θ = 77.3°

This is the answer Edge 2020

Pelito
A traffic helicopter ascends 167 meters more
than 2 times its original height. This is 1027
meters above the ground. What is the original
height, h, of the helicopter?
Math:
original height

Answers

300m + 160m= h

Or you could also write it as h-160m=300.

I need help I will give Brainliest

Answers

Answer:

[tex] 129° + (x + 19) ° = 180° \: (angles \: on \: a \: straight \: line) \\ x = 180° - (129° + 19°) \\ x = 32°[/tex]

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