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garik1379 [7]
3 years ago
12

According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 p

ieces of cotton fiber was taken and the absorbency on each piece was measured. The following are the absorbency values:
18.71, 21.41, 20.72, 21.81, 19.29, 22.43, 20.17,
23.71, 19.44, 20.50, 18.92, 20.33, 23.00, 22.85,
19.25, 21.77, 22.11, 19.77, 18.04, 21.12,

Required:
a. Calculate the sample mean and median for the above sample values.
b. Compute the 10% trimmed mean.
c. Do a dot plot of the absorbency data.
d. Using only the values of the mean, median, and trimmed mean, do you have evidence of outliers in the data?
Mathematics
1 answer:
Feliz [49]3 years ago
4 0

Answer:

Step-by-step explanation:

a )

sample mean = sum total of given data / no of data

= 415.35 / 20 = 20.76

To calculate the median we arrange the data in ascending order and take the average of 10 th and 11 th term .

= 20.50 + 20.72 / 2

= 20.61

b ) To calculate the 10% trimmed mean , we neglect the largest 10% and smallest 10 % data and then calculate the mean . Here we neglect the first two smallest and last two greatest

(18.92 + 19.25 ..... + 22.43 + 22.85) / 16

= 20.74

c )

We can easily plot the data on number line from 17 to 24

d )

Maximum value of data set = 23.71 and minimum value is 18.04

mean is 20.76 , median is 20.61 and trimmed mean is 20.74

They are between maximum and minimum values of given data . Hence there is no outliers .

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Answer:

Step-by-step explanation:

Given

Probability that an inspector doe not identify  low-quality timber=0.20

(a)Probability that both inspector do not identify a low quality timber

P=0.2\times 0.2=0.04

(b)Let n be the no of inspector

Probability should be less than  1%=0.01

so \left ( 0.2\right )^n

Taking \lnboth sides

x>\frac{\ln 0.01}{\ln 0.2}

x>2.861

thus minimum value of x is 3

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on an average 2 officer are not sufficient to identify 4 low quality timber out of 100

 

6 0
3 years ago
You are going to a movie, and your friend says it is showing some time on the weekend between noon and 8, but won't say when, ex
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Answer:

The chances are 1/6 because 6-8 is 1/6 of the possible timings.

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5 0
3 years ago
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I need helppppp........
grin007 [14]

Answer:

B

Step-by-step explanation:

To do this, you need to complete the square.

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Therefore, the correct answer is choice B. Hope this helps!

7 0
4 years ago
18. A science teacher has a supply of 20% saline solution and a supply of 50% saline solution. How much of each solution should
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Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

There is a supply of 20% saline solution and a supply of 50% saline solution.

If a teacher wants to mix together to get 60 ml of 28% saline solution for an experiment.

We will use "Mixture Allegation" to find the quantity of each solution:

Ist type of solution                           II nd type of solution

      20%                                                       50%

                                    28%

--------------------------------------------------------------------------------------

50%-28%                        :                         28%-20%

 22%                               :                            8%

  11                                  :                             4

Since there is total quantity of 60 ml of solution.

So, Quantity of 20% solution in the mixture is given by

\frac{11}{15}\times 60=11\times 4=44\ ml

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Hence, there is 44 ml of the 20% solution and 16 ml of the 50% solution.

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8 0
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What is the domain and range of y=x^2-2x-3
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Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

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