A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings. It is important that the diameters be as close as possible to an industry standard. The output from each process is sampled and the average error from the industry standard is measured in millimeters. The results are presented next.

Process A Process B
Sample mean 2.0 3.0
Standard deviation 1.0 0.5
Sample size 12 14

The researcher is interested in determining whether there is evidence that the two processes yield different average errors. The population standard deviations are unknown but are assumed equal. If What is the decision if we use 1% level of significance?

a. Fail to reject the null hypothesis and conclude the means are different.
b. Reject the null hypothesis and conclude the means are different.
c. Fail to reject the null hypothesis and conclude the means are the same.
d. Reject the null hypothesis and conclude the means are the same.

Answer:

98

Step-by-step explanation:

to find median you put the numbers in order from least to greatest then you see what number is in the middle

Answer:

Step-by-step explanation:

The median of an information set is found by putting the information set in ascending numerical order and identifying the center number. If there are an odd number of data values within the data set, the median could be a single number. If there are an excellent number of data values within the data set, the median is that the average of the 2 middle numbers. Sorting the information set for the values entered above we have:

98, 67, 98, 102, 74, 95, 99

Since there's an odd number of data values during this data set, there's just one middle number. With 7 data values, the center number is that the data value at position 4. Therefore, the median is 98.

Answer:

10 children

Step-by-step explanation:

?/50 = 80/100

Multiply 50 by 80 then divide by 100

50 times 80 = 4,000 divided by 100 is 40

40 children passed the test

Now subtract 40 from 50 to get 10

10 children did not pass the test

Answer:

14.5833333333

Step-by-step explanation:

3.5x2.5=8.75, divided by 0.6 is 14.5833333333

Answer:

s = 8t

Step-by-step explanation:

.............................

Answer:

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.

Step-by-step explanation:

Test the claim that less than 50% of Internet users get their health questions answered online.

At the null hypothesis, we test that 50% of Internet users get their health questions answered online, that is:

[tex]H_0: p = 0.5[/tex]

At the alternate hypothesis, we test that this proportion is less than 50%, that is:

[tex]H_a: p < 0.5[/tex]

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]

A random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet.

This means that [tex]n = 1318, X = \frac{606}{1318} = 0.4598[/tex]

Test statistic:

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

[tex]z = \frac{0.4598 - 0.5}{\frac{0.5}{\sqrt{1318}}}[/tex]

[tex]z = -2.92[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.4598, which is the p-value of z = -2.92.

Looking at the z-table, z = -2.92 has a p-value of 0.0018.

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.

Answers:

5. x = 1

6. y = 11.5

Step-by-step explanation:

For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:

AC * CD = BC * CE

You can substitute the values you are given to get:

2 * 4 = x * 8

This gives you x = 1

For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:

GH * GJ = GI * GK

Using segment addition postulate, you get:

GJ = GH + HJ = 5 + 16 = 21

GK = GI + IK  = 6 + y --> y + 6

Now, substitute into the equation from power of a point:

5 * 21 = 6 * (y + 6)

105 = 6 * (y + 6)

17.5 = y + 6

y = 11.5

Answer:

[tex]\sqrt{253}[/tex]

Step-by-step explanation:

The question asks to use the Pythagorean Theorem...

which is [tex]a^{2} + b^2 = c^2[/tex]

1. Note that c is always the hypotnuse (the longest side of the triangle)

2. Note that a and b represent both legs of the triangle

3. Find b using pythagorean theorem (x = b)

[tex]6^2 + b^2 = 17^2\\36 + b^2 = 289\\b^2 = 253\\b=\sqrt{253} \\[/tex]

Since b is the missing side x, then [tex]x = \sqrt{253}[/tex]

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

If the walls are the standard 8 feet tall and the room is square, then:

the wall length and width is both 7 feet.

The area of the walls would be 4x7x8 = 224 ft² (also providing there are no doors or windows)

Answer:

22.75

Step-by-step explanation:

ur welcome hOWdAy

The new frequency of short tail mice in HJP is 0.60.

Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.

Let, initial number of mice in HJP be 'x'

and the number of mice travelling from BioPyc building to HJP be 'ý

So, Total mice in HJP= x+ y

As, [tex]\frac{y}{x+y} = 0.2[/tex]

  y= 0.2x + 0.2 y

   0.8y =0.2 x

    x= 4y

Now, total short tail mice in HJP= 0.7 x + 0.2 y

Thus, New frequency of short tail among mice in HJP

 = [tex]\frac{0.7x + 0.2y}{x+y}[/tex]

Put x= 4y in above equation we get,

= [tex]\frac{0.7 * 4y+ 0.2y}{4y+y}[/tex]

= [tex]\frac{3y}{5y}[/tex]

= 0.60

Hence, the new frequency of short tail mice in HJP is 0.60.  

Learn more about algebra here:

https://brainly.com/question/9513859

#SPJ2

Answer: 1/b^5 (D)

Step-by-step explanation:

Is this a UTHS course I'm seeing?

Answer:

a(n) = 1 + 7(n-1)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

-120 = -10c

12 = c

Answer:

c = 12

Step-by-step explanation:

The problem is multiplying a number, in this case c, by -10 to get -120. So, you would preform the opposite operation, which is division.

[tex]\frac{-120}{-10} =\frac{-10c}{-10}[/tex]

12 = c

Answer:

oki! Mizuki is here to help!

The answer is 61 cars!

Step-by-step explanation:

First, let's find how much money she needs to earn!

105 + 500 = 605

Then, we will divide the amount she needs to earn by the amount per each car!

605 ÷ 10 = 60.5

We get 60.5 As an answer but... since we must wash a whole car, we will round it up and get 61 cars as the answer!

Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  A.  ∠EAG and ∠BAC

Step-by-step explanation:

Vertical angles share a vertex and have opposite rays for sides.

Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.

The other pair is ∠EAC and ∠BAG.

Answer:

15/10, 30/20, 60/40, 120/80, 240/160, 480/320

Step-by-step explanation:

The number of push-ups is 2/3 the amount of sit-ups, so the ratio of sit-ups to push-ups is 3:2.

The easy way to do this is to double both 15 and 10 so your answer will stay an equivalent ratio. You will always have a 3:2 ratio this way.

Answer:

d

Step-by-step explanation:

Answer:

x= 3 and -1

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 2x - 3[/tex]

add three to both sides

[tex]3 = {x}^{2} - 2x[/tex]

figure out what half of -2 is

half of -2 is (-1) than square that (-1)^2=1

the 1 is what you add to both sides

[tex]3 + 1 = {x}^{2} - 2x + 1 \\ 4 = {(x - 1)}^{2} [/tex]

than take the square root of both sides

[tex] \sqrt{4} = \sqrt{ {(x - 1)}^{2} } [/tex]

this than equals

+2=x-1

than to find the x values

2=x-1

+1 +1

3=x

-2=x-1

+1 +1

-1=x

4x - 2 (-x + 12) = 36

4x + 2x - 24 = 36

6x = 60

x= 10

Answer:

55°

Step-by-step explanation:

Total: 90°

90° - 35°

55°

Answer:

(1/6) of the students did not pass.

Ans: (1/6)30 = 5 of the students did not pass

To solve this question, we need to first figure out, in fractional form, the number of students who did not pass. The problem tells us that 5/6 of the students passed. Therefore, we know that 1/6 of the students did not pass, because 5/6 + 1/6 = 1. So, all we need to do is multiply 1/6 by the total number of students:

1/6 * 36 = 6

So, 6 students did not pass.

Answer:

720m^2

Step-by-step explanation:

Answer your answer is B

Answer:

45 green candies did the cookie have.

Answer:140

Step-by-step explanation: It is a really big number not the most reasonable answer for the low amount of marbles their are in the jar adding 58 and 82 gives you your answer

Answer:

83.6 pounds

Step-by-step explanation:

1 kg = 2.2 pounds

38 x 2 = 76

.2 x 38 = 7.6

76 + 7.6 is 83.6

Answer:

83.6 pounds

Step-by-step explanation:

1 kg = 2.2 pounds

38 x 2 = 76

.2 x 38 = 7.6

76 + 7.6 is 83.6

Answer:

subtract 7

Step-by-step explanation:

y+7=18

You need to get the y by itself, so you subtract 7 to cancel it out.

y+7=18

 -7   -7

y=11

---

hope it helps