A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 46 cables and apply weights to each of them until they break. The 46 cables have a mean breaking weight of 779 lb. The standard deviation of the breaking weight for the sample is 15.4 lb. Find the 99% confidence interval to estimate the mean breaking weight for this type cable.

Answers

Answer 1

Answer:

The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 46 - 1 = 45

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.69

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.69\frac{15.4}{\sqrt{46}} = 6.1[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 779 - 6.1 = 772.9 lb

The upper end of the interval is the sample mean added to M. So it is 779 + 6.1 = 785.1 lb

The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.


Related Questions

What percent of 84 is 42

Answers

Sorry if I’m wrong but i believe it’s 50.

A rectangular field has a length of 42.14 meters. The length is 4.3 times as long as the width.

What is the width of the field?

Answers

Answer:  9.8

Step-by-step explanation: just divide

please make me brainliest

Answer:

Step-by-step explanation: Division (duh)

9.8

Help me with this geometry question!!

Answers

Answer:

A) trapezoid a=141 b=69

Step-by-step explanation:

It must be a trapezoid because two of the sids are not parallel.  The interior angles of any quadrilateral must equal 360, and each side of a trapezoid  must equal 180, so:

A) trapezoid a=141 b=69

Answer:

a

Step-by-step explanation:

Find the quotient 1/15 divided by 6

Answers

1/90

Thats all, I hope this helps :)

Answer:0.03333333333

Step-by-step explanation:

What is the diameter of a 2m circle?

Answers

Answer:

If 2m is the radius, the diameter is 4 meters.

2*2=4

Answer
2*2=4

Explanation
The diameter of a circle is the distance from one edge to the other, passing through the center. It is twice the radius.

So the diameter would be 2 cause 2 x 2=4

what is 64/7 simplified?​

Answers

i don’t understand? you can’t simply that anymore?

Answer:

9 1/7

Step-by-step explanation:

This is the answer because 64 divided by 7 is 9.142... this means that there are 9 whole numbers and 1/7 remaining after the 9 whole numbers

The large rectangle below represents one whole.

What percent is represented by the shaded area????

Answers

40% is shaded :))))))

Answer:

40%

Step-by-step explanation:

Because there are 5 rectangle total, we can dive 100% into 5 parts.

Each part is then 20%, there are 2 shaded rectangles thus the answer is 40%.

Create an equation that can be used to represent the total number of pages , y , that Latrell reads in x hours .

Answers

Answer:

Y=60x

Step-by-step explanation:

Need help please thanks

Answers

Answer:

6.

Just count the x's on the graph...

Someone help me right now

Answers

Answer:

33cm

Step-by-step explanation:

You need to add up all the sides

Mel has 1/2 gallon of milk in the refrigerator. He drinks 1/4 of the milk. How much milk does Mel drink?

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The answer is 3/4 because 1/2 can be turned into 2/4 so the denominators are equal and then you add 1/4 and 3/4

2/4=1/2 because they are both a half

please help :) thanks !

Answers

Answer:

Step-by-step explanation:

b

help pleaseee, this is for math class

Answers

Answer:

Step-by-step explanation:

3h = 3×7, not 37.

3h + 13 = 3×7 + 13 = 34

i dont understand what im doing wrong

Answers

Answer:

8

Step-by-step explanation:

-2 x -2 = 4

4 - (-28 / 7 = -4)

4-  -4 = 8

2)
a
b
A) complementary
B) vertical
C) alternate exterior
D) alternate interior

Answers

Answer:

A.

Step-by-step explanation:

Complementary, since they form a 90 degree angle

Hope that helps!

The number of calories in fruit smoothies varies from brand to brand. The population distribution of calories is strongly skewed to the right. The central limit theorem says that:___________
a. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is exactly Normal.
b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.
c. as the number of brands of fruit smoothies increases, their average calorie count gets ever closer to the mean μ for all fruit smoothies of this type.
d. the average amount of calories of a large number of fruit smoothie brands has a sampling distribution with the same shape (strongly skewed) as the population distribution.
e. the average calorie count of a large number of fruit smoothie brands has a sampling distribution with a similar shape but not as extreme (skewed, but not as strongly) as the population distribution.

Answers

Answer:

b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Applying to this question:

The distribution of the number of calories in fruit smoothies is strongly skewed to the right. However, in a sample with a large number of fruit smoothies, the sampling distribution will be approximately normal, so the correct answer is given by option B.

Answer:

B

Step-by-step explanation:

Ms. Wright looks at the menu in a restaurant. She wants to order a bowl of salad priced at $13.10 and a glass of fruit juice priced at $5.90. There are a 5% sales tax and a 3% meals tax on all food and beverages. Is she able to pay for her meal with $20? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

No, she is not able to pay for her meal with 20 dollars. The first step to solve this problem is to add up 13.10 and 5.90 so you can see how much money Ms. Wright has to spend on the food and drinks alone. 13.10 + 5.90 is 19. Since there are 5% and 3% of taxes on all food and beverages, there is 8% in total of taxes. 8% of 19 is 1.52. 19 plus 1.52 is 20.52 which is greater than 20. Therefore, Ms. Wright cannot pay for her meal with 20 dollars.

80% of c is 20. What is c ?

Answers

Answer:

25

Step-by-step explanation:

Suma40grados 35 con
60grados7
er
ор
q' w
a' rty u
a s d f g h j k l ñ en español​

Answers

Answer:

Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??

Step-by-step explanation:

This is just a question what anime do ya'll watch I watch Dragonball Z and
My Hero Academia

Answers

Answer:

Kakegurui- demon slayer-  

Princess Mononoke is a good movie and the last Airbender is pretty good  

UHHHH OH- black butlers okie also a whisker away is cute (MOST ON NETFLIX)

Answer:

I watch Death Note, Black Butler, Demon Slayer, My Hero Academia, Dragonball Z, Naruto, Naruto: Shippuden, Black Clover, Assassination Classroom, OHSHC, School Babysitters (Gakuen Babysitters), High School of the Dead, and more that I forgot the name of!

Step-by-step explanation:

what is the slope of the line.

Answers

Answer:

m=3/2 or m=1.5

Step-by-step explanation:

slope formula:

m=(y1-y2)/(x1-x2)

in order to get this we need two points such as (3,0) and (1,-3) which are points on this line. So:

m=(0-(-3))/(3-1)

m=3/2 or m=1.5

if Arianna turns the stove dial 135 to the right what setting will the dial be on​

Answers

Answer:

135 and high

Step-by-step explanation:

XOXO

Kit

Please help me find what ? Is

Answers

Answer:

My answer is 43 its that rigth

Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850

Answers

This question is incomplete, the complete question is;

Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850 at least 6 out of 10 business day

Answer:

P( at least 6 out of 10 business days ) = 0.6312

Step-by-step explanation:

Given the data in the question;

p = 60% = 0.6

q = 1 - p = 1 - 0.6 = 0.4

Using Binomial distribution;

P( X = r ) = [tex]^nC_r p^rq^{n-r[/tex]

where [tex]^nC_r = n!/(r!(n-r))[/tex]

we substitute

P( at leas 6 ) = P(6) + P(7) + P(8) + P(9) + P(10)

= [¹⁰C₆ × 0.6⁶ × 0.4⁴] + [¹⁰C₇ × 0.6⁷ × 0.4³] + [¹⁰C₈ × 0.6⁸ × 0.4²] + [¹⁰C₉ × 0.6⁹ × 0.4¹] + [¹⁰C₁₀ × 0.6¹⁰ × 0.4⁰]

= [0.250] + [0.214] + [0.1209] + [ 0.0403] + [ 0.00604 ]

= 0.6312

Therefore, P( at least 6 out of 10 business days ) = 0.6312

A total surface area is _ square inches

Answers

Answer: Don’t trust those links

Pls help asap!!!!!!!!!!!!!!

Answers

A c’(-8,1), d’ (-6,5), e’ (-2,4)

Amir thinks of a number,
He triples it and adds 9 to get 54.
What number did he think of?​

Answers

Answer:

The number he think of is 15

Step-by-step explanation:

Let x be the number

3x + 9 = 54

x = (54-9) / 3

x = 15

The number he think of is 15

Answer:

15

Step-by-step explanation:

3x + 9 = 54

x = (54-9) / 3

x = 15

You move right 3 units. You end at (5, 2). Where did you start?

Answers

Answer:

8,2

Step-by-step explanation:

ANSWER:
You started at (2,2)

EXPLANATION:
you subtract the 5 by 3 because moving to the right affects the x axis, and (x,y), so the 5 is what is being affected

What is 13th term of geometric sequence whose 7th term is 25 and common ratio is 3

Answers

Answer:

18225

Step-by-step explanation:

let 7th term = t7

t7= a.3^(7-1) (common formula of geometric series is a.r^(n-1)

or, 25= a. 3^6

or, a=25/729

now, for 13th term,

t13= a.r^(13-1)

= 25/729 × 3^12

=18225

Use the description of an experiment done in a children's hospital.
A music therapist was interested in investigating whether listening to music or composing music had an influence on both anxiety levels and oxygen saturation in children who were hospitalized for asthma-related illnesses. Thirty-two children spent 20 minutes listening to classical waltzes played on a piano. On a different day, they spent 20 minutes composing their own short pieces of music using a software program.
When listening to music: For the physiological measure, the critical value for t was larger than the test statistic for the observed data. For the anxiety measure, the critical value for t was smaller than the test statistic for the observed data.
When composing music: For the physiological measure, the critical value for t was larger than the test statistic for the observed data. For the anxiety measure, the critical value for t was larger than the test statistic for the observed data.
When writing the results of the music therapist's study, which of these statements reflects the correct conclusions that should be drawn from the results and then included as part of the interpretation paragraph?Question 8 options:
a) Music therapists should make pediatric asthma patients compose music in order to increase their oxygen saturation.
b) Music therapists should make pediatric asthma patients listen to music in order to reduce their anxiety.
c) Pediatric asthma patients should listen to music in order to increase their oxygen saturation.
d) Additional information is needed to draw a proper conclusion.

Answers

Answer:

d) Additional information is needed to draw a proper conclusion

Step-by-step explanation:

When listening to music;

Physiological measure

Critical t > Test statistic Accept H₀

Anxiety measure

Critical t < Test statistic Reject H₀

When composing music;

Physiological measure

Critical t > Test statistic Accept H₀

Anxiety measure

Critical t > Test statistic Accept H₀

When the test statistic is larger the critical 't' we reject the hypothesis that there is no difference in the observation, and we accept the alternative hypothesis

The test results having a larger critical 't' than the test statistics suggest that there is no difference between physiological and anxiety influence of composing music on pediatric asthma patients

However, given that when listening to music, the critical 't' is lest than the test statistic for the anxiety parameter of the participants, there is sufficient statistical evidence to suggest that there in an influence on the anxiety of pediatric asthma patients when they listen to music, however, it is not stated if the anxiety increases or decreases, therefore additional information is needed

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