en 12 bolts are tested for hardness, their indexes have a standard deviation of 41.7. Test the claim that the standard deviation of the hardness indexes for all such bolts is greater than 30. Use a 0.05 level of significance and assume the population is normally distributed.

Answers

Answer 1

The data and using a 0.05 level of significance, there is sufficient evidence to support the claim that the standard deviation of the hardness indexes for all such bolts is greater than 30.

To test the claim that the standard deviation of the hardness indexes for all bolts is greater than 30, we can use the chi-square test for variance. The null and alternative hypotheses for this test are as follows:

Null Hypothesis (H0): The standard deviation (σ) of the hardness indexes is less than or equal to 30.

Alternative Hypothesis (H1): The standard deviation (σ) of the hardness indexes is greater than 30.

We will use a significance level of 0.05, which corresponds to a 95% confidence level.

Given that we have a sample of 12 bolts with a standard deviation of 41.7, we can calculate the chi-square test statistic using the formula:

χ² = (n - 1) * s² / σ²

where:

n = sample size

s = sample standard deviation

σ = hypothesized standard deviation

Plugging in the values:

n = 12

s = 41.7

σ = 30

χ² = (12 - 1) * (41.7²) / 30²

χ² ≈ 33.54

Next, we need to find the critical value for the chi-square test at a significance level of 0.05 and degrees of freedom equal to n - 1 = 11. Consulting the chi-square distribution table or using statistical software, we find that the critical value is approximately 19.68.

Since the calculated test statistic (χ² = 33.54) is greater than the critical value (19.68), we reject the null hypothesis.

Therefore, based on the given data and using a 0.05 level of significance, there is sufficient evidence to support the claim that the standard deviation of the hardness indexes for all such bolts is greater than 30.

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Related Questions

How do you solve (3/4)^2

Answers

Answer:  9/16

Think of (3/4)^2 as (3/4)*(3/4)

Multiply the numerators to get 3*3 = 9

Do the same for the denominators to get 4*4 = 16

Therefore, (3/4)^2 = (3/4)*(3/4) = 9/16

Which of the following is not a type of effectiveness MIS metric?
Customer satisfaction
Conversion rates
Financial
Response time

Answers

"Financial" as it is not an effectiveness MIS metric.



To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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Pls help :(, I don’t have much time

Pls help :(, I dont have much time

Answers

Answer:

22

Step-by-step explanation:

You would add 14 and 8.    

22-8=14

Check it on your calculator

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Answer:

x = 22

Step-by-step explanation:

Solving for x means having x alone on the left side as in

x = some number

Since 8 is being subtracted from x on the left side, you need to do the opposite operation of subtracting 8. The opposite operation of subtraction is addition. That means you need to add 8 to the left side to get rid of the subtraction of 8. The rule with equations is that you must do the same operation to both sides of the equation. Therefore, you need to add 8 to both sides of the equation.

x - 8 = 14

Add 8 to both sides.

x - 8 + 8 = 14 + 8

On the left side, -8 + 8 = 0, so you end up with just x.

On the right side, 14 + 8 = 22, so you end up with 22.

x = 22

Answer: x = 22

Use the information to answer the question.The graph shows the relationship between the number of pounds oforanges purchased and the total cost of the oranges.What is the cost of 1 pound of oranges? Enter the answer in the box.$4Total Cost (5)Oranges (pounds)

Answers

For this case we have a graph given with x representing the oranges in pounds and the y axis representing the cost in $

We want to find the cost of 1 pound of orange and for this case we need to look the intersection of the x axis at x=1 with the line provided.

We can find the unitary space of the y axis using this:

\(\Delta y=\frac{1}{4}\)

The reason is because we have 4 spaces between 0 and 1 in the y axis.

So then the answer for this case would be:

\(y=1+\frac{1}{4}=\frac{4+1}{4}=\frac{5}{4}\)

The cost of 1 pound of oranges is $5/4

(2+5xyz-6tv²c)-(11-5yxz-2ctv²)​

Answers

Answer:

-4ctv² + 10xyz - 9

Step-by-step explanation:

(2 + 5xyz - 6tv²c) - (11 - 5yxz - 2ctv²)

2 + 5xyz - 6tv²c - 11 + 5yxz + 2ctv²

-4ctv² + 10xyz - 9

I hope this helps!

A robotic insect has a mass of 80 milligrams. The mass of a quarter is 5.67 grams. How many more grams is the mass of a quarter than the mass of the robotic insect?

Answers

The mass of a quarter is 5.59 grams more than the mass of the robotic insect. To find the difference between the mass of a quarter and the mass of the robotic insect, we need to convert the mass of the insect from milligrams to grams.

1 gram = 1000 milligrams

So, the mass of the robotic insect in grams is:

80 milligrams / 1000 = 0.08 grams

The mass of a quarter is given as 5.67 grams.

Now we can find the difference between the mass of the quarter and the robotic insect:

5.67 grams - 0.08 grams = 5.59 grams

Therefore, the mass of a quarter is 5.59 grams more than the mass of the robotic insect.

It's important to note that even though the difference in mass may seem small, it could have a significant impact on the behavior and functionality of the robotic insect. For example, a slight increase in mass may require more energy to move and may limit the insect's ability to fly or climb. Engineers and designers need to carefully consider the mass and weight of their robots to ensure optimal performance.

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write an equation perpendicular yo y=-1/2x-6 that passes through the point (-4,3)

Answers

Using the slope-intercept form, the slope is −12 . The equation of a perpendicular line to y=−12x+6 y = - 1 2 x + 6 must have a slope that is the negative reciprocal of the original slope. Simplify the result. Cancel the common factor of 1 1 and −1 - 1 .

Given the following summary statistics, determine the regression equation used to predict y from x. Sy= 2.33, Sx 2.35, r= 0.25, x- = 22.85, y -=77.34. Round all answers to 2 decimal places. Slope (Please use the exact value of slope.) Intercept

Answers

The regression equation used to predict y from x is: y = -2.93x + 95.45. The slope of the regression line is -2.93 and the intercept is 95.45.

Regression analysis is a process used to estimate the relationship between two or more variables. It is used to examine the strength of the relationship between a response variable (y) and one or more predictor variables (x).

The coefficients of the regression equation are estimated by minimizing the sum of squared errors between the predicted and actual values of y. The strength of the relationship is indicated by the coefficient of correlation (r), which is a measure of how closely the data points fit the regression line.

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What value of 0 is the statement sin 53° = cos 8 true?

Answers

Answer:

Given statement is false

Step-by-step explanation:

Given:

sin 53° = cos 8°

True/False

Computation:

sin 53° = cos 8°

sin (90-37)° = cos 8°

cos 47° ≠ cos 8°

So,

Given statement is false

HELPPPPPP MEEEE PLESDEEEE

HELPPPPPP MEEEE PLESDEEEE

Answers

Answer:

7, 5, 1, 3

Step-by-step explanation:

Hope this Helps!

Please mark me Brainliest

wyatt can husk at least 12 dozen ears of corn per hour and at most 18 dozen ears of corn per hour. based on this information, what is a possible amount of time, in hours, that it could take wyatt to husk 72 dozen ears of cor

Answers

Wyatt can husk anywhere from 12 to  18 dozen ears of corn per hour.

To find the possible amount we need to calculate the maximum and minimum time period in hours

Thus, if we need to find the time taken to husk 72 dozen ears of corn, the maximum time would be  ,

=72 / 12 hours

​ =6 hours

And the minimum time would be  used for the does wyatt takes to husk the 72 dozen of corn

=72/18 hours

​=4 hours

Thus, depending on his speed, Wyatt takes anywhere from  4  to 6 hours to husk  72 dozen ears of corn.

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what is the area of the circle given the radius 9. use 3.14

Answers

Answer:

254.5

Step-by-step explanation:

area of circle = pi (3.142) x 9squared

answer 254.5 or 81 pi

Need both 3 and 4 plz

Need both 3 and 4 plz

Answers

Answer:

for 3 no it's ans is 3 and four no it's ans is 2

Answer:

3) a: 3

4) c: x

Step-by-step explanation:

Please help:

A hiking trail is 24 miles from start to finish. There are two rest areas located along the trail.

a. The first rest area is located such that the ratio of the distance from the start of the trail to the rest area and the distance from the rest area to the end of the trail is 2:9. To the nearest hundredth of a mile, how far is the first rest area from the starting point of the trail?

______ mi

b. Anne claims that the distance she has walked and the distance she has left to walk has a ratio of 5:7. How many miles has Anne walked?

______ mi

Answers

The first rest area from the starting point of the trail is 4.367 miles and the distance Anne walked is 10 miles.

Given that, a hiking trail is 24 miles from start to finish. There are two rest areas located along the trail.

What is a ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.

Given that the ratio of the distance from the start of the trail to the rest area and the distance from the rest area to the end of the trail is 2:9.

Now, 2/11 ×24=4.3636

The nearest hundredth of a mile is 4.367 miles.

Given that Anne claims that the distance she has walked and the distance she has left to walk has a ratio of 5:7.

Now, 5/12 ×24=10 miles

Anne walked 10 miles.

Therefore, the first rest area from the starting point of the trail is 4.367 miles and the distance Anne walked is 10 miles.

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Find the Difference quotient f(x+h)-f(x)/h, where h does not equal zero for the function below f(x)=x^2-5 Simplify the answer as much as possible Thank you

Answers

Main Answer:The difference quotient for the function f(x) = x^2 - 5 is 2x + h.

Supporting Question and Answer:

How do we calculate the difference quotient for a given function?

To calculate the difference quotient for a function, we need to evaluate the expression (f(x + h) - f(x)) / h, where f(x) represents the given function and h is a non-zero value.

Body of the Solution:To find the difference quotient for the function f(x) = x^2 - 5, we need to evaluate the expression (f(x + h) - f(x)) / h.

First, let's find f(x + h):

f(x + h) = (x + h)^2 - 5

= x^2 + 2hx + h^2 - 5.

Now, let's subtract f(x) from f(x + h):

f(x + h) - f(x) = (x^2 + 2hx + h^2 - 5) - (x^2 - 5)

= x^2 + 2hx + h^2 - 5 - x^2 + 5

= 2hx + h^2.

Finally, divide the result by h: (f(x + h) - f(x)) / h = (2hx + h^2) / h = 2x + h.

Final Answer: So, the simplified difference quotient for the function f(x) = x^2 - 5 is 2x + h.

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The difference quotient for the function f(x) = x^2 - 5 is 2x + h.

How do we calculate the difference quotient for a given function?

To calculate the difference quotient for a function, we need to evaluate the expression (f(x + h) - f(x)) / h, where f(x) represents the given function and h is a non-zero value.

To find the difference quotient for the function f(x) = x^2 - 5, we need to evaluate the expression (f(x + h) - f(x)) / h.

First, let's find f(x + h):

f(x + h) = (x + h)^2 - 5

= x^2 + 2hx + h^2 - 5.

Now, let's subtract f(x) from f(x + h):

f(x + h) - f(x) = (x^2 + 2hx + h^2 - 5) - (x^2 - 5)

= x^2 + 2hx + h^2 - 5 - x^2 + 5

= 2hx + h^2.

Finally, divide the result by h: (f(x + h) - f(x)) / h = (2hx + h^2) / h = 2x + h.

So, the simplified difference quotient for the function f(x) = x^2 - 5 is 2x + h.

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Emma and arianna recoreded how much money they earned for doing chores for a each week for 5 weeks, the results were are lised below

Answers

Answer:

Step-by-step explanation:

It’s 0

(GEOMETRY)

Polygon LMNOP was transformed to create polygon L’M’N’O’P’

Which angle corresponds to
O O O O

(GEOMETRY)Polygon LMNOP was transformed to create polygon LMNOPWhich angle corresponds to O O O O

Answers

Answer:

They all do all of the angles are congruent

Step-by-step explanation:

Answer:

The answer would be angle N'

Step-by-step explanation:

Hope this helps!

Can someone please help me? :(

Can someone please help me? :(

Answers

Answer:

12 edges, 6 faces, and 7 vertices.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

I say 12 edges because there are 12 meeting points, and an open shape.

6 faces because there are 6 highlighted points on what looks like an unfolded shape.

8 vertices because you add 2 to the number of edges and subtract by the number of faces, 6.

Ms.Candos has 90 invitations to hand out. She hand out 42 of them. The rest will be handed out by 6 students. Each students will hand out an equal number of invitations. How many invitations will each student hand out.

Answers

Answer: 8 invitations each

Step-by-step explanation:

Ms. Candos has 90 invitations from which she will hand out 42 by herself. The number of invitations left will be:

= 90 - 42

= 48 invitations

There are 6 students to share out the rest. They will hand out:

= 48 / 6 students

= 8 invitations each

Find the value of X
7/x-10 = 3/6

Answers

Answer:

2/3

Step-by-step explanation:

7/x -10 = 3/6

7/x =3/6 +10

7/x = 63/6

42 = 63x

x = 42/63 or 2/3

Answer:

2/3

Step-by-step explanation:

what is 2 + 1 kindergarten mathematics

Answers

Answer:

2 + 1 = 3

Step-by-step explanation:

You have 2 toy cars in your possession, and a friend gives you 1 more, now you have 3.

Hope this was the answer you were looking for.

:)

8x + 3 = 8x + 27
Please help

Answers

Answer: No solution

Steps: 8x + 3 = 8x + 27

Subtract 8x from both sides: 8x + 3 - 8x = 8x + 27 - 8x

Simplify: 3 ≠ 27

The sides are not equal so therefore there is no solution.

Plz mark brainliest:)

Answer:

No Solutions

Step-by-step explanation:

Step 1:

8x + 3 = 8x + 27        Equation

Step 2:

3 = 27            Subtract 8x on both sides

Step 3:

3 ≠ 27          No Solutions

Answer:

No Solutions

Hope This Helps :)

april, bill , candace, and bobby are to be seated at random in a row of chairs. what is the probability that april and bobby will occupy the seats at the end of the row?

Answers

The required probability of occupying seats at the end of the row by April and Bobby is equals to 0.0333( approximately ).

Number of chairs in a row =  5

April and Bobby need to occupy the two end chairs.

The other two people, Bill and Candace, can sit in any of the 3 remaining chairs.

The total number of ways to seat the 4 people in the 5 chairs is

= 5!/(5-4)!

= 5x4x3x2

= 120.

April can sit in either of the two end chairs, and then Bobby can sit in the other end chair.

Bill and Candace can then sit in either of the two remaining chairs, in either order.

The number of ways to seat April and Bobby at the ends of the row is,

=  2x1x2x1

= 4.

Probability that April and Bobby will occupy the seats at the end of the row is,

4/120

= 1/30

= 0.0333( approximately ).

Therefore, the probability of April and Bobby occupy seats at the end of the row is 1/30 or approximately 0.0333.

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The above question is incomplete , the complete question is:

April, bill , candace, and bobby are to be seated at random in a row of 5 chairs. What is the probability that April and bobby will occupy the seats at the end of the row?

Can somebody plz answer this last question thanks! (Show steps on how u get answer) thanks a lot !

WILL MARK BRAINLIEST WHEOVER ANSWERS FIRST :DD

Can somebody plz answer this last question thanks! (Show steps on how u get answer) thanks a lot !WILL

Answers

Answer:

The K-Mart is open 106 hours in one week.

Step-by-step explanation:

8:00 am - midnight is 16 hours

16 multiplied by 6 since it's Monday through Saturday is 96

for Sunday 10:00 am to 8:00 pm is 10 hours

96 + 10 = 106

find the value of each trigonometric ratio

find the value of each trigonometric ratio

Answers

The trigonometric relations from the triangles are

a) tan A = 5/12

b) sin C = 3/5

c) cos X = 3/5

d) sin Z = 4/5

e) tan Z = 4/3

f) tan X = 12/5

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

a)

The triangle is ΔABC

tan A = opposite side / adjacent side

Substituting the values in the equation , we get

tan A = 10/24

tan A = 5/12

b)

The triangle is ΔABC

sin C = opposite side / hypotenuse

Substituting the values in the equation , we get

sin C = 24/40

sin C = 3/5

c)

The triangle is ΔXYZ

cos X = adjacent side / hypotenuse

Substituting the values in the equation , we get

cos X =21/35

cos X = 3/5

d)

The triangle is ΔXYZ

sin Z = opposite side / hypotenuse

Substituting the values in the equation , we get

sin Z = 32/40

sin Z = 4/5

e)

The triangle is ΔXYZ

tan Z = opposite side / adjacent side

Substituting the values in the equation , we get

tan Z = 28/21

tan Z = 4/3

f)

The triangle is ΔXYZ

tan X = opposite side / adjacent side

Substituting the values in the equation , we get

tan X = 12/5

Hence , the trigonometric relations are solved from the triangles

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Select the correct answer from each drop-down menu.
At noon, Manny's Café had 12 banana muffins, 10 chocolate muffins, 6 blueberry muffins, and 7 vanilla muffins. What is the probability that the next muffin sold is a vanilla muffin? How likely is this event?
The probability that the next muffin sold is a vanilla muffin is . It is that this event occurs.

Answers

Answer:

5,040 I'm sure that's answer thank you

01:38:56
What is the scale factor of a triangle with a vertex of A(-6, 4) that has been dilated with a center of dilation at the origin so
the vertex of its image is A'(-24, 16)?

Answers

Answer:

Answer: The scale factor of the triangle is 4

Step-by-step explanation:

PLEASE HELP ME!! I NEED THIS ONE IN 20 MINS!! Which point represents the solution to the system of equations below?
A. Point A
B. Point B
C. Point C
D. Point D

PLEASE HELP ME!! I NEED THIS ONE IN 20 MINS!! Which point represents the solution to the system of equations

Answers

Step-by-step explanation:

that is letter C. ok makes help

How much water do you need to add to make each concentration?

1% sugar syrup using 12 g sugar

Answers

Answer:

108 g of water

Hope This Helps!!!

The elevation of a city is positive if the city is above sea level and negative if below sea level. The elevation of New Orleans is -0.3 \text{ m}−0.3 mminus, 0, point, 3, start text, space, m, end text. What does an elevation of -0.3 \text{ m}−0.3 mminus, 0, point, 3, start text, space, m, end text represent in this situation? Choose 1 answer: Choose 1 answer: (Choice A) A New Orleans is 0.3 \text{ m}0.3 m0, point, 3, start text, space, m, end text above sea level. (Choice B) B New Orleans is at sea level. (Choice C) C New Orleans is 0.3 \text{ m}0.3 m0, point, 3, start text, space, m, end text below sea level.

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

the anwser is below sea level

Step-by-step explanation:

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