The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.01 mm.

Required:
What are the null and alternative hypotheses?

Answers

Answer 1

Answer:

The null hypothesis is [tex]H_0: \mu = 4.1[/tex]

The alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]

Step-by-step explanation:

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters

This means that the null hypothesis is that the diameter has the supposed value, that is, [tex]H_0: \mu = 4.1[/tex]

If the spindle is either too small or too large, the motor will not work properly.  The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.

Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]


Related Questions

2. The rectangles below are similar. Solve for the AREA of the larger rectangle. *

Answers

Where are the rectangles I can’t seem them

4) Jenna works at Chirping Chicken. On Superbowl Sunday, she fries 3,708 wings and boxes them for
delivery so that each box has 20 wings inside. What is the maximum number of full boxes she can
pack?
A 180
B 185
C 186
D 189

Answers

Answer:

B = 185

Step-by-step explanation:

You must divide 3,708 by 20.

3,708 divided by 20 = 185.4 = 185.

Answer:

B

Step-by-step explanation:

3,708/20=185.4

You obviously can't cut of the fries and wings- so u can't keep the .4 so the answer is 185

PLEASEI BEG U ALL PLEASE 26 POINTSPLEASE JUST HELP ME ON THIS I DONT HAVEMUCH TIMELEFT

Answers

Answer:

a) 14

b) 7/45

Step-by-step explanation:

a) 12 are male and studied chemistry

b) There are 14 male Biologists and 90 in total which is 14/90 which = 7/45

(I'm not 100% sure but if I'm wrong I'm very sorry)

I read the question wrong 3 times I'm blind

2. Which of the following makes the equation
true? B/4=16

Answers

Answer:

64

Step-by-step explanation:

64/4=16

Plz need helppp Quick !!!!!!!

Answers

Step-by-step explanation:

A.  1 cup of blue rate for 3/5 cup of red paint

B. 1 cup of flour for 2.5 muffins

C. r = d/t = 420 miles/7 hours = 60 miles per hour.

D. 48/3 = $16 for every hour

E. $15/6 = $2.5 for every hot dog

There are 20 more dogs at the pet store than cats. If there are 7 cats, which equation can be used to find the number of dogs, d, at the pet store?

Answers

Answer:

if d=dogs and c=cats then c+20=d

Step-by-step explanation:

Answer:

20 + 7 = 27 dogs

Step-by-step explanation:

If there are 20 more dogs than there are cats, you add the number of cats with how many more dogs. 20 + 7 = 27 dogs.

Which linear inequality is represented by the graph?
Oys 2x + 4
Oyszx+ 3
O yz {x + 3
O y 2x + 3

Answers

i’m sorry but where is the graph?

The linear inequality that represents the graph is: [tex]y \le \frac 23x + \frac 15[/tex]

The line of the inequality passes through the points:

(0,0.2) and (3,2.2)

So, the slope of the line is:

[tex]m = \frac{2.2 - 0.2}{3 - 0}[/tex]

[tex]m = \frac{2}{3 }[/tex]

The equation is then calculated as:

[tex]y =mx + c[/tex]

Where c represents the value of y, when x = 0.

So, we have:

[tex]y =\frac 23x + 0.2[/tex]

Rewrite as:

[tex]y =\frac 23x + \frac 15[/tex]

The down region is shaded, and the line is a closed line.

So, the inequality is:

[tex]y \le \frac 23x + \frac 15[/tex]

Read more about inequalities at:

https://brainly.com/question/9774970

What is the solution to the equation below? Round your answer to two
decimal places.
ex = 0.6
O A. x= -0.51
B. x = 1.82
C. X = -0.22
D. x= 3.98
SUBMIT

Answers

Answer:

A._____________________

The value of x is -0.22.

What is Logarithm?

The power to which a number must be increased in order to obtain another number is known as a logarithm.

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

Given:

[tex]e^x[/tex] = 0.6

Now, taking log on both side

x log e= log 0.6

x= -0.22184874961

Hence, the value of x is -0.22.

Learn more about logarithm here:

https://brainly.com/question/28346542

#SPJ2

According to a report in USA Today (February 1, 2012), more and more parents are helping their young adult children get homes. Suppose 8 persons in a random sample of 40 young adults who recently purchased a home in Kentucky got help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who got help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who got help from their parents. What is the margin of error for a 95% confidence interval for the population proportion?

a.1.645(0.0040)
b.1.645(0.0632)
c.1.96(0.0040)
d.1.96(0.0632)

Answers

Answer:

d.1.96(0.0632)

Step-by-step explanation:

The margin of error for a 95% confidence interval for the population proportion calculated as below:

Given that x = 8

n = Size of the sample = 40 (Large sample)

Sample population: P=x/n = 8/40 = 0.2; q = 1-p = 0.8

Standard error = [tex]\sqrt{pq/n}[/tex] = [tex]\sqrt{0.2(0.8)}/40[/tex] = 0.0682

95% of confidence Z∝ = 1.96

Margin of Error = Z∝ .[tex]\sqrt{pq/n}[/tex]

Margin of Error = 1.96(0.0682)

So, therefore, option d is correct.

F(x)=3x and g(x)=x+2 find fog(x),gof(x),fog(2),gof(2)

Answers

Answer:

Step-by-step explanation:

fog(x)=f(g(x)) =f(x+2) =3⋅(x+2) =3x+6

gof(x)=g(f(x))=g(3x) =3x+2

gof(2)=3⋅2+2 =6+2 =8

fog(2)=3⋅(2+2) =3*2+6=12

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

y is less than or equal to -4/2x+4

Answer and Step-by-step explanation:

First step we can do is find the slope of the line.

To find the slope, use the following equation:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

(2, 0) will be the ([tex]x_{2}, y_{2}[/tex]) set, and (0, 4) will be the ([tex]x_2, x_1[/tex]) set.

[tex]\frac{0 - 4}{2 - 0} = \frac{-4}{2} = -2[/tex]

The slope of the line is -2.

Don't worry about the inequality part yet, make it look like an equation because you'll be more familiar with it.

y = -2x + b (b is the y-intercept)

The y-intercept is the point where the lines intersects with the y-axis. this y-value is 4.

y = -2x + 4 -- That is the equation of the line.

We see that all values make the inequality true is on the left side of this line. This means that the sign to replace the = sign with is >=, in which the values of y are less than what is plugged in and evaluated for x.

y <= -2x + 4

That is the inequality equation.

(You can also use Desmos. com to help with the plotting of the inequality equations and graphs)

#teamtrees #PAW (Plant And Water)

Jackie collects data from two different companies. Each company had four employees. The data is
listed in the tables below.
Company A
Worker's Age in Salary in
Years
Dollars
24
28,000
26
30,000
27
31,000
32
36,000
Company B
Worker's Age in Salary in
Years
Dollars
25
29,000
28
33,000
29
36,000
31
51,000
Which of the following statements is true? Select all that apply.

Answers

Answer:

B, C, E

Step-by-step explanation:

a-ca 30,500<31,000 cb

b-ca 31.24 cb 37.35

c-ca 8 cb 22

d-ca 27.25 cb 28.25

e-ca 51.000

Answer:

The picture has the answer :)

Step-by-step explanation:

look at picture

what is the difference between Whole numbers and Natural numbers

Answers

Answer:

Whole no includes positive as well as negative integer but Natural numbers includes positive integer .

Pre-cal! Please help!
Represent the product of A and B geometrically given that point A is located at (2,45°) and B is located at (4, 45°). Give
the coordinate of AxB in polar form.

Answers

Answer:

(8,90°)

Step-by-step explanation:

To get this answer, you multiply the r values together to get 2*4 = 8. At the same time, you add the theta angles to get 45° + 45° = 90°

The general rule is that if A = (r,theta) and B = (s,phi) then

A*B = (r*s,theta+phi)

where the point (s,phi) is a polar form point.

Convert 23 days to weeks and days?

Answers

Answer:

3 weeks and 2 days

Step-by-step explanation:

Alisa has $6.27. She has to give that value to a florist using only coins. How would she do it, using the least number of coins.

Answers

She would use 25 quarters which would make $6.25. And she would use two pennies.

What is 3,000,000 + 800,000 + 20,000 + 6,000 + 600 + 70 + 9 in standard form?

Answers

Answer:

3,826,679

Step-by-step explanation:

Answer:3,826,679

Step-by-step explanation:

Find the area of the figure.

PLS I NEED HELP FAST!

Answers

55 ft

base + base2 / 2 x h

Subtract -21 from 30

Answers

Answer:

-9

Step-by-step explanation:

yu subtract 21 from 30 and and just add a negative before the answer

A rectangular region is removed from another rectangular region to create the shaded regions shown below. Find the combined area of the
shaded regions
Syd
yd
16 yd

Answers

Answer:

50 yards

Step-by-step explanation:

Answer: 96yd²

Step-by-step explanation:

Multiply:

Larger Rectangle: 16 * 8 = 128ft²

Smaller Rectangle: 8 * 4 = 32ft²

Subtract both your solutions:

128 - 32 = 96ft²

Final Answer:

96ft²

Hope this helped! :)

What is the value of d/dx sin (2x-Pi/3) at x= Pi

Answers

Answer:

1/2 at x=pi

Step-by-step explanation:

d/dx sin(x) = cos(x)

Therefore:

d/dx sin(2pi-pi/3) = cos(5pi/3) = 1/2

Could I get help/an explanation on this problem? Thanks

Answers

Answer:

HEY BABE

Step-by-step explanation:

The jacket at the department store originally cost $199. It was selling so well that the store decided to increase the price by 25 percent. What was the new cost of the jacket?

Answers

Answer:

$248.75

Step-by-step explanation:

25% more of 199 is 248.75

(NO LINKS)

Please help this assignment is over due and I don't get it thx ;)

Answers

Answer:

45

Step-by-step explanation:

9 x 5 = 45

45 / 9 = 5

45 is the answer!

Solve: 3,125 = 5–10 + 3x x =

Answers

Answer:

5

Step-by-step explanation:

Answer:

The answers is 3 for Evaluate using the given value

The answers is 3,125=-5+3x for simplify the Matrix

Step-by-step explanation:

Please tell me if those ways are correct

And how did you want me to solve it

PLEASE HALP MEEEEEEE



what is 50% of 4 ?

Answers

Answer:

equal to 2

Step-by-step explanation:

50% is the same as 1/2 of 4

Find the area of the shaded region. XTRA POINTS!!!! PLUS BRAILIEST!!!!!!
NO LINKS OR WEBSITES!!!!! YOU WILL GET REPORTED!!!!!

Answers

Answer:

[tex]192.5ft^{2}[/tex]

Step-by-step explanation:

[tex]Area=\frac{260}{369} \pi (8.35^{2} )+\frac{1}{2} (8.35^{2})sin[/tex]

[tex]=158.195+34.3316[/tex]

[tex]=192.5[/tex]

[tex]------------[/tex]

hope it helps..

have a great day!!!

22x^5+20x greatest common factor

Answers

Answer:

2x

Step-by-step explanation:

2x(11x^4 + 10)

What are the coordinates of point A I will mark brainliest​

Answers

Answer:

the answer would be A: -1 1/4, 3/4

Write 3 more equations using the same numbers that express the same relationship.
Equation: 3 + 2 = 5

Answers

Answer:

2+3 = 5

5-2 = 3

5-3 = 2

Step-by-step explanation:

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