Question
In: Statistics and Probability
The number of sample orders written during each of the last 10 days are listed below....
The number of sample orders written during each of the last 10 days are listed below.
3,6,9,8,7,4,6,5,1,1. Determine population standard deviation and sample variance
Solutions
Expert Solution
Solution:
Given that,
| x | x2 |
| 3 | 9 |
| 6 | 36 |
| 9 | 81 |
| 8 | 64 |
| 7 | 49 |
| 4 | 16 |
| 6 | 36 |
| 5 | 25 |
| 1 | 1 |
| 1 | 1 |
 x
= 50 |
x
2 = 318 |
a ) The population variance 
2
2
=x
- ((
x )2 / n ) / n )
= ( 318 -( (50 )2 / 10 ) / 10
= 318 - 250/ 10
= 68 / 10
= 6.8
The population variance
2 = 6.8
b ) The population standard deviation is
= 
The population variance
=
6.8
= 2.61
The population standard deviation is
= 2.61
c ) The sample variance S2
=x
- ((
x )2 / n ) / n-1 )
= ( 318 -( (50 )2 / 10 ) / 9
= 318 - 250/ 9
= 68 / 9
S2 = 7.56
The sample variance S2 is 7.56
orchestra answered 1 year agoRelated Solutions
Listed below are the yields of various Treasury securities on separate days over the last five...
Listed below are the yields of various Treasury securities on
separate days over the last five years.
(1) Provide an explanation of the evolution of the Treasury
yield curve from 2018 to 2020.
(2) Focusing on the 2020 yield curve, provide an interpretation
of the curve? (What do you infer from it)
Date
1 yr
2 yr
5 yr
7 yr
10 yr
20 yr
30 yr
(1)
10/05/20
0.12
0.14
0.27
0.46
0.68
1.23
1.45
(2)
10/05/18
2.64
2.88...
The data below reflect the number of vacation days that a sample of employees at a...
The data below reflect the number of vacation days that a sample
of employees at a certain company have left to take before the end
of the year. Complete parts a through c. 11 7 2 3 10 7 9 a. Compute
the range for these sample data. The range is b. Compute the
variance for these sample data. The variance is nothing. (Round to
two decimal places as needed.) c. Compute the standard deviation
for these sample data. The...
The data below are the temperatures on randomly chosen days during the summer and the number...
The data below are the temperatures on randomly chosen days
during the summer and the number of employee absences at a local
company on those days.
Temperature,x: 72,85, 91, 90, 88, 98, 75, 100, 80
Number of absences, y: 3, 7, 10, 10 8, 15, 4, 15, 5
A) Find the residual when temperature is 98. Analyze the
result.
B) Test the claim, at the α = 0.05 level of significance, that a
linear relation exists between the temperature and...
. Listed below are the salaries, in $000 for a sample of 10 chief financial officers...
. Listed below are the salaries, in $000 for a sample of 10
chief financial officers in the electronics industry.
516 548 534 529 550 551 552 585 568 517
a. Calculate the mean.
b. Determine the median.
c. Calculate the standard deviation.
d. Calculate Pearson’s coefficient of skewness. Comment on the
shape of the distribution.
Listed below are the commissions earned ($000) last year by a sample of 15 sales representatives...
Listed below are the commissions earned ($000) last year by a
sample of 15 sales representatives at Furniture Patch Inc. $ 4.2 $
6.0 $ 8.0 $ 11.3 $ 12.5 $ 13.6 $ 14.6 $ 16.4 $ 17.1 $ 17.4 $ 18.2 $
22.3 $ 36.8 $ 43.2 $ 78.8
Determine the mean, median, and the standard deviation. (Round
your answers to 2 decimal places.)
Determine the coefficient of skewness using Pearson’s method.
(Round your answer to 3 decimal places.)...
Consider the number of days absent from a random sample of six students during a semester:...
Consider the number of days absent from a random sample of six
students during a semester: A= {2, 3, 2, 4, 2, 5}
Compute the arithmetic mean, geometric mean, median, and mode
by hand and verify the results using R
Arithmetic Mean:
X=i=1nXin=2+3+2+4+2+56=3
mean(data2$absent)
[1] 3
Geometic Mean:
GMx=Πi=1nX11n=2∙3∙2∙4∙2∙516=2.79816
>gmean <-
prod(data2$absent)^(1/length(data2$absent))
> gmean
[1] 2.798166
Median:
X=12n+1th,
Xi2,2,2,3,4,5,
n=6=126+1th
ranked value=3.5, value=2.5 days absent
>median(data2$absent)
[1] 2.5
Mode: Most frequent value=2
> mode <-
names(table(data2$absent))
[table(data2$absent)==max(table(data2$absent))]
> mode
[1]...
The number of incorrectly transferred calls made per month is listed below for a sample of...
The number of incorrectly transferred calls made per month is
listed below for a sample of 8 different months:
13 28 39 19 43 28 38 49
2.1 Calculate the mean number of incorrectly transferred calls made
per month. Contextually interpret your answer. (3)
2.2 Calculate the median number of incorrectly transferred calls
made per month. Contextually Interpret your answer. (3)
2.3 State the modal number of incorrectly transferred calls made
per month. Contextually interpret your answer. (2)
2.4 Calculate...
The number of days required for two suppliers to deliver orders is as follows. Supplier A:...
The number of days required for two suppliers to deliver
orders is as follows.
Supplier A:
10.0
4.0
13.0
1.0
17.0
7.0
11.0
16.0
6.0
19.0
Supplier B:
9.0
4.0
13.0
2.0
23.0
8.0
12.0
15.0
6.0
24.0
(A) Which supplier provides more consistent and
homogenous delivery times A or B? ...
Average Number of Days for Supplier A = days,
and Standard Deviation = day.
Coefficient of Variation for Supplier A =
Average Number of Days for Supplier B = days,
and...
The number of days required for two suppliers to deliver orders is as follows. Supplier A:...
The number of days required for two suppliers to deliver
orders is as follows.
Supplier A:
10.0
4.0
13.0
1.0
17.0
7.0
11.0
16.0
6.0
19.0
Supplier B:
9.0
4.0
13.0
2.0
23.0
8.0
12.0
15.0
6.0
24.0
(A) Which supplier provides more consistent and
homogenous delivery times A or B? ...
Average Number of Days for Supplier A = days,
and Standard Deviation = day.
Coefficient of Variation for Supplier A =
Average Number of Days for Supplier B = days,
and...
10. The number of research articles in a prominent journal written by researchers during 1983-2003 can...
10. The number of research articles in a prominent journal
written by researchers during 1983-2003 can be approximated by ?(?)
= 4.1?^0.6? /0.2+?^0.6? thousand articles per year (0 ≤ ? ≤ 20)
where ?time in years is (? = 0 represents 1983). Assuming there
were 0 articles prior to 1983, find an expression for the total
number of articles (in thousands) written since 1983.
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- A volume of 84 mL of 0.060 M NaF is mixed with 28 mL of .15...
- Cognitive Psychology Chapter 9 Here are 2 discussions regarding the chapter . Write your opinion on...
- Phil and Jim were roommates in college and have always competed against each other. Since graduating...
- Phil and Jim were roommates in college and have always competed against each other. Since graduating...
- In Community Health Planning, Can you provide me with several examples of population-level versus program level...
- Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual...
- Phil and Jim were roommates in college and have always competed against each other. Since graduating...
ADVERTISEMENT