1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marina CMI [18]
3 years ago
12

In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes

at 34 kV. The times, in minutes, are as follows: 0.15, 0.82, 0.81, 1.44, 2.70, 3.28, 4.00, 4.70, 4.96, 6.49, 7.25, 8.03, 8.40, 12.15, 31.89, 32.47, 33.79, 36.80, and 72.92. Calculate the sample mean and sample standard deviation. Round the answers to 3 decimal places.

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

Answer:

The sample mean is \bar{x}=14.371 min.

The sample standard deviation is \sigma = 18.889 min.

Step-by-step explanation:

We have the following data set:

\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

\bar{x} = \frac{{\sum}x}{n}

where, n is the number of values in the data set.

\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }

The mean of a sample is  \bar{x}=14.371.

Create the below table.

Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889

You might be interested in
PLEASE HELP
devlian [24]

Answer:

I think it is a 160o Angle

Step-by-step explanation:

7 0
3 years ago
A company has 10 men qualified to run a machine that requires 3 operators at a time. find how many groups of 3 operators are pos
anzhelika [568]

The number of possible groups or combination of three men can be formed from 10 is 120.

According to the given question.

Total number of men in a company, n = 10.

Number of men to be selected, r = 3

As we know that, What is a combination in math?

Image result for what is combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Therefore, the number of possible groups or combination of three men can be formed from 10

= ^{10} C_{3}

= 10!/ 3!7!

= 10(9)(8)/3(2)

= 5 × 3 × 8

= 120

The number of possible groups or combination of three men can be formed from 10 is 120.

Find out more information about number of possible groups or combination here:

brainly.com/question/3854382

#SPJ4

6 0
1 year ago
5. trey made pasta in the Shape of a square ; He draws 2 lines to cut the pasta into smaller pieces The smaller pieces have L I
hodyreva [135]

Wouldn't it be. 8 pieces because you cut each sides into two pieces so like this. —|—. You'll end up having four square pieces, but count the pieces that creates an L shape.


best wishes good luck

7 0
3 years ago
Read 2 more answers
P- 24/n = 30/100<br><br> What’s N?<br><br> Z- n/4 = 18/72<br><br> What’s N?
Vilka [71]

Answer:

Z: n = 1 P: n =80

Step-by-step explanation:

cross multiple what you can and divide it by the last number left to find n

8 0
3 years ago
Xander has 10 pieces of twine that he is using for a project. If each piece of twine is 1/3 yard long, what is the total length
vovikov84 [41]
1 yard (3/3) is equal to 3 feet, then 10/3 is equals to 10 feet

8 0
3 years ago
Other questions:
  • Match the pairs of variables with the type of relationship they show.
    7·1 answer
  • 4) A sales associate in a department store earns a commission on each suit and each pair of shoes sold. One week, she earned $47
    7·1 answer
  • Assume that lines that appear to be tangents are tangents. O is the center of the circle.
    13·1 answer
  • Please answer this correctly
    9·1 answer
  • Please help with 1-9 or as many as you can..
    6·1 answer
  • What is the product of a+3 and -2a2+15a+6b2
    6·2 answers
  • It took John 12 hours riding his bike to make the round trip to his uncle's. If he averaged 20 mph out and 30 mph back, how long
    8·2 answers
  • Completely factor the polynomial 8x2 – 24x + 20x – 60.
    14·2 answers
  • A line passes through the points ( - 9, - 24) and (8, – 9).
    6·1 answer
  • What is the value of the function y=−2x+11 when x = 5?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!