A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. Which of the following statement is true about this hypothesis test?
A. It is a two tailed test about a proportion.
B. It is a one tailed test about a mean.
C. It is a one tailed test about a proportion.
D. It is a two tailed test about a mean.
E. None of the above.

Answers

Answer 1

Answer:

A. It is a two tailed test about a proportion

Step-by-step explanation:

We are given;

Population proportion; p= 8% = 0.08

Sample size; n = 450

Defective ones in the sample = 27

Sample proportion; p^ = 27/450 = 0.06

Let's define the hypotheses.

Null Hypothesis; H0: p = 0.08

Alternative hypothesis;Ha: p ≠ 0.08

≠ is used for the alternative hypothesis because we can't really ascertain if the training was going to make things worse.

Thus, this is a two tailed hypothesis test about a proportion.


Related Questions

6/9×4/7 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST

Answers

Answer: 380952381 / 1000000000

Step-by-step explanation:

:)P.s. This simplifies to 8/21 .

Answer:

8/21

Step-by-step explanation:

the square root of the sum of twice a number and 3 is 6. find the number​

Answers

Answer in fraction form = 33/2

Answer in decimal form = 16.5

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

Work Shown:

n = some number

2n = twice that number

2n+3 = "sum of twice a number and 3"

[tex]\sqrt{2n+3}[/tex] = square root of the previous expression

The equation we need to solve is [tex]\sqrt{2n+3} = 6[/tex]

We'll follow PEMDAS in reverse, undoing each operation, to isolate n

[tex]\sqrt{2n+3} = 6\\\\\left(\sqrt{2n+3}\right)^2 = 6^2 \ \ \text{ ... square both sides}\\\\2n+3 = 36\\\\2n+3-3 = 36-3 \ \ \text{ ... subtract 3 from both sides}\\\\2n = 33\\\\\frac{2n}{2}=\frac{33}{2} \ \ \text{ ... divide both sides by 2}\\\\n = \frac{33}{2}\\\\n = 16.5[/tex]

Answer:

[tex]\frac{33}{2}[/tex]

Step-by-step explanation:

 In the problem, "The square root of the sum of twice a number and 3 is 6" can be converted to an equation that looks like this:

Let x be the number:

[tex]\sqrt{2x+3 = 6 }[/tex]

In order to solve the problem:

[tex]\sqrt{2x+3}^2=6^2[/tex]

By squaring both sides to remove the exponent:

[tex]{2x + 3 = 36}[/tex]

Simplify:

[tex]{2x+3-3=36-3}[/tex]

Subtract 3 from both sides:

[tex]{2x = 33 }[/tex]

Then Simplifying further:

[tex]\frac{2x}{2} = \frac{33}{2}[/tex]

Divide both sides by 2 to remove 2 from the x.

[tex]{x = \frac{33}{2} }[/tex]

Thus, meaning the answer is [tex]\frac{33}{2}[/tex]

Hope this helps you.

You invested $7000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $536, how much was invested at each rate?

Answers

Answer: $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.

Step-by-step explanation:

Let's break this down into simpler terms so you can understand.

You invested $7000 in a 7% and 8% account (always remember: the 'x' variable is always given to the biggest percentage)

Total of interest: 536 (this always goes at the end of the equation, after the equal sign)

Step 1: Let's set up the equation:

Here are how percents are written: (7% = 0.07, 8% = 0.08, other examples: 50% = 0.50)

0.08x + 0.07(7,000-x)=536

You're adding both because you want to see how much each account paid together.

Step 2: Distribute the 0.07 to everything in the parenthesis

0.08x + 0.07(7,000-x)=536

0.08x + 490 - 0.07x =536

Step 3: Combine like terms

0.08x + 490 - 0.07x =536

0.01x + 490 =536

Step 4: Continue combining like terms

0.01x + 490 =536

0.01x = 46

Step 5: Divide both sides by 0.01 to get the 'x' by itself

0.01x = 46

x = 4,600

This answer, x = 4,600, says to us that $4,600 was invested in the 8% account.

To find out how much was invested in the 7% account, just replace the x = 4,600 back into this part of the original equation: 7,000-x

7,000-x

7,000-4,600

2,400

So.. $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.

A school paid 31.50 for each calculator
If the school bought x calculators, how much did
they pay? Write an expression.

Answers

31.50(x) insert the amount of calculators that they have for X and then multiply to find the total amount that they payed

Akris has a Quilted Calfskin bag on their website for this season in the shape of a trapezoid. Ms. Johnson called the company to get the dimension to use as a project for her math students. Based on the dimensions below, what is the area of trapezoid shaped purse?

Answers

Answer:

parralelagram

Step-by-step explanation:

f x = 8 units, y = 2 units, and h = 14 units, find the area of the parallelogram shown above using decomposition. A. 168 square units B. 140 square units C. 84 square units D. 112 square units

Answers

Answer:

112

Step-by-step explanation:

The area of the parallelogram is A = 140 units²

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the area of the parallelogram be represented as A

Now , the value of A is

Let the height of the parallelogram be h = 14 units

And , base of the parallelogram b = x + y = 10 units

So , A = b x h

On simplifying , we get

The area of parallelogram A = 10 x 14 = 140 units²

Therefore , the value of A is 140 units²

Hence , the area of the parallelogram is 140 units²

To learn more about parallelogram click :

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HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLSS I BEFFF

Answers

6:$9
Multiply both by 2 (because 12/6=2)
And get 12:$18

3:7
Multiply both by 2 (because 14/7=2)
And get 6:14

6:3
Multiply both by 8 (48/6=8)
And get 48:24

Always label your units. Sorry I’m lazy



Write an equation that relates the number of peppers, n, and the

cost, C.

Answers

Complete Question:

The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the  cost, C.

Answer:

[tex]C = 0.45n[/tex]

Step-by-step explanation:

Given

[tex]5\ peppers = \$2.25[/tex]

Required

Determine the relationship between C and n

[tex]5\ peppers = \$2.25[/tex]

Divide both sides by 5, to get the cost of 1 pepper

[tex]\frac{5\ peppers}{5} = \frac{\$2.25}{5}[/tex]

[tex]1\ pepper = \frac{\$2.25}{5}[/tex]

[tex]1\ pepper = \$0.45[/tex]

Multiply both sides by n to get the cost of n pepper

[tex]n*1\ pepper = \$0.45*n[/tex]

[tex]n\ pepper = \$0.45n[/tex]

So, we have:

[tex]C = 0.45n[/tex]

Solve for x: 1/2x + 3 = 9​

Answers

Answer:

12

Step-by-step explanation:

Steps
1/2x+3=9
Subtract 3 from both sides
1/2x+3-3=9-3
Simplify
1/2x=6
Multiply Both sides by 2
2*1/2x=6*2
X=12

please help will mark as brainiest

Answers

The answer is 41% hope this helps

5

An athlete covers three consecutive miles by walking the first mile, running the second mile

and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as

ast as he runs. He takes ten minutes longer than he would do if he cycled the three miles,

How long does he take by walking, running and cycling?

ter your math answer

Answers

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As [tex]Time = \frac{Distance }{Speed}[/tex]

⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = [tex]\frac{1}{2x}[/tex]

Now,

Given that - he cycles one and a half times as  fast as he runs.

⇒Speed of cycling =  [tex]\frac{3}{2}[/tex] (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = [tex]\frac{1}{3x}[/tex]

Now,

Total time traveled = Time traveled by walking + running + cycling

                                = [tex]\frac{1}{x}[/tex] +  [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]

                                = [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]

If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = [tex]\frac{11}{6} x[/tex]

⇒[tex]x - \frac{11}{6} x = -10[/tex]

⇒[tex]-\frac{5}{6}x = -10[/tex]

⇒x = [tex]\frac{60}{5}[/tex] = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min

Janet, an experienced shipping clerk, can fill a certain order in 7 hours. Jim, a new clerk, needs 9 hours to do the same job.
Working together, how long will it take them to fill the order?

Answers

Answer:

zhdhsgscsisgege8djdhshsyw7273yeh3737eyd

The range of this function is {2, 4, 5, 6}
2
4
5
6
8
13
O True
O False

Answers

Answer:

True l True-----------------^~^

Please help me will give brainlyest.

Answers

Answer:

x=24

Step-by-step explanation:

I think that its just a degree sign tbh

but because pc is a radius and so is pd their opposite angles are equal to each other.

so angle d and angle c are congruent

then because a triangles angles add up to equal 180 we do

180=x+54+x+54+x and solve for x

step 1 combine like terms x+x+x=3x 54+54=108

180=3x+108

step 2 subtract each side by 108

3x=72

step 3 divide each side by 3

x=24

hope this helps (:

Answer:

x = 36

Step-by-step explanation:

BD is a diameter.

<BCD is an inscribed angle whose sides intersect the endpoints of a diameter. Therefore m<BCD = 90.

m<BCD = x + 54 = 90

x + 54 = 90

x = 36

Expand and simplify the following:
6x - 3(2x-1)

Answers

Answer:

3

Step-by-step explanation:

=6x-3(2x-1)

=6x-6x+3

=3 Answer

-30 < x/-4. Solve for x​

Answers

Answer:

-30 < x/-4

Above equation multiply by minus sign(-) so that sign of inequality is change from < to >

Above equation becomes

30 > x/4

30*4 > x

120 > x

Hence x is less than 120

What fraction of an hour is 4 minutes Simplest From​

Answers

Answer: 1/15

Step-by-step explanation:

An hour is 60 minutes.  Thus, simply do 60/4 to get 15, and that the fraction is 1/15.

Hope it helps <3 :)

Answer:

1/15

Step-by-step explanation:

1 hour = 60 minutes

[tex]\frac{4}{60}=\frac{1}{15}[/tex]

La escalera de un carro de bomberos
puede extenderse hasta una longitud
máxima de 30 m cuando se levanta a un
ángulo máximo de 70°; la base de la
escalera se coloca en el camión a 2 m,
sobre el suelo.
¿Qué altura podrá alcanzar la escalera?

Answers

Answer:

sorry I cant understand--

pleaseeeee help ill give brainliest answerrrrr

Answers

Answer:

A= 360

Step-by-step explanation:

360

As an estimation we are told 5 miles is 8 km.
Convert 45 miles to km.

Answers

Answer:

to get from 5 miles to 45 miles you multiply by 9 right so just times 8km by 9 which is 72 to get 45 miles into km.

Step-by-step explanation:

Answer:

72 km

Step-by-step explanation:

5m = 8km

÷5. ÷5

1m = 1.6km

×45. ×45

45m = 72km

13/16 - 1/4.¿ using 5th grade work

Answers

Answer:

[tex]\frac{9}{16}[/tex]

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

1/4x4=4/16 13/16-4/16=9/16

a veriable is definded as

Answers

Answer:

Its Basically A Type of pattern In an Equation that you solve.

for example, X=Y. It's Configured as  a pattern.

Step-by-step explanation:

Answer:

A variable is a unknown number or a unknown value.

Commonly used variables are x and y.

Have a nice day!

Hope this helps!

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50. Assume the distribution of hourly wages follows the normal probability dis- tribution. If we select a crew member at random, what is the probability the crew member earns: a. Between $20.50 and $24.00 per hour

Answers

Answer:

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50.

This means that [tex]\mu = 20.5, \sigma = 3.5[/tex]

a. Between $20.50 and $24.00 per hour

This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 20.5. So

X = 24

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 20.5}{3.5}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

X = 20.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20.5 - 20.5}{3.5}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

What is the value of x? 2x + 4 = 14

Answers

Answer:

5

Step-by-step explanation:

2x + 4 = 14    ( - 4 )

2x + 10           ( /2)

x= 5

the value of x is 5! please mark me as brainly.

what are the powers of 3 through 1000? AND DONT JUST SAY A FEW I NEED ALL OF THEM

Answers

Answer:

1, 3, 9, 27, 81, 243, 729

Step-by-step explanation:

The powers of 3 are:

[tex]3^0 = 1[/tex]

[tex]3^1 = 3[/tex]

[tex]3^2 = 9[/tex]

[tex]3^3 = 27[/tex]

[tex]3^4 = 81[/tex]

[tex]3^5 = 243[/tex]

[tex]3^6 = 729[/tex]

[tex]3^7 = 2187[/tex]

And so on...

So through 1000: 1, 3, 9, 27, 81, 243, 729

Which equation Is false?

Answers

Answer: #3

Step-by-step explanation:

Find the 3rd quartile of the date set:

72, 74, 76, 78, 82, 84, 87, 90, 91, 93, 99, 99, 100

Answer:

Answers

Answer:

101 102 108 156 1784 1267

The third quartile of the data set is 96.

Hope this helped! :)



The trip from Manhattan to Montauk Point is 120 miles by train or by car. A train makes the trip in 2 hours, while a car makes the trip in 2.5 hours. How much faster in miles per hour, is the average speed of the train than the average speed of the car?

Answers

Answer:

30mph faster

Step-by-step explanation:

first you must find how fast the train can go in 1 hour

that is 60mph, then multiply 60 and 2.5

60x2.5 = 150mph then,

150 - 120 =30mph

very sorry if this is wrong

The average speed of the train is 1.25 times the average speed of the car.

What is speed?

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

The excursion from Manhattan to Montauk Point is 120 miles via train or via vehicle. A train makes the outing in 2 hours, while a vehicle makes the excursion in 2.5 hours.

The average speed of the train is given as,

⇒ 120 / 2

⇒ 60 miles per hour

The average speed of the car is given as,

⇒ 120 / 2.5

⇒ 48 miles per hour

The ratio of the average speed of the train to the car will be given as,

⇒ 60/48

⇒ 1.25

The average speed of the train is 1.25 times the average speed of the car.

More about the speed link is given below.

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if 7y + 42 <14 then which among the following is true​

Answers

Answer:

[tex]y<-4[/tex]

Step-by-step explanation:

Given

[tex]7y + 42 <14[/tex]

Required

Determine the true statement

Options are not given; but, the question can still be attempted.

[tex]7y + 42 <14[/tex]

Collect Like Terms

[tex]7y < 14 -42[/tex]

[tex]7y < -28[/tex]

Divide through by 7

[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]

[tex]y<-4[/tex] -- This is true

Find the area occupied by a triangular window of length 45 cm and height 50
cm.

Answers

Answer:

In a triangular window there is length and breadth???

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