Question
In: Statistics and Probability
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 43, 54,...
Sample annual salaries (in thousands of dollars) for employees at a company are listed.
43, 54, 55, 51, 33, 33, 43, 54, 55, 26, 51, 43, 46
(a) Find the sample mean and sample standard deviation.
(b) Each employee in the sample is given a $3000 raise. Find the sample mean and sample standard deviation for the revised data set.
(c) Each employee in the sample takes a pay cut of $2000 from their original salary. Find the sample mean and the sample standard deviation for the revised data set.
(d) What can you conclude from the results of (a), (b), and (c)?
Solutions
Expert Solution
a)
| X | (X - X̄)² |
| 43 | 4.64 |
| 54 | 78.25 |
| 55 | 96.95 |
| 51 | 34.18 |
| 33 | 147.72 |
| 33 | 147.72 |
| 43 | 4.639 |
| 54 | 78.254 |
| 55 | 96.947 |
| 26 | 366.870 |
| 51 | 34.178 |
| 43 | 4.639 |
| 46 | 0.716 |
| X | (X - X̄)² | |
| total sum | 587 | 1095.69 |
| n | 13 | 13 |
mean = ΣX/n =
587.000 / 13 =
45.1538(thousands of dollars) = $45153.85
sample std dev = √ [ Σ(X - X̄)²/(n-1)]
= √ (1095.6923/12)
= 9.5551(thousands of dollars) =
$9555.1
b) new sample mean = 45153.85 - 3000 = 42153.85
std dev remain unchanged = 9555.1
c)
new sample mean = 45153.85 -2000 = 43153.85
std dev remain unchanged = 9555.1
d)
if each data value is increase/ decrease by a value , Sample mean decreases/ increases by same value resp.
but std dev do not change
orchestra answered 2 years agoRelated Solutions
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 54 49...
Sample annual salaries (in thousands of dollars) for employees at a
company are listed.
54 49 44 51 32 32 54 49 44 30 51 54 48
(a) Find the sample mean and the sample standard
deviation.
(b) Each employee in the sample is given a 6% raise. Find the
sample mean and the sample standard deviation for the revised data
set.
(c) To calculate the monthly salary, divide each original salary by
12. Find the sample mean and the...
Sample annual salaries? (in thousands of? dollars) for employees at a company are listed. 50 50??...
Sample annual salaries? (in thousands of? dollars) for employees
at a company are listed. 50 50?? 47 47?? 59 59?? 54 54?? 28 28?? 28
28?? 50 50?? 47 47?? 59 59?? 27 27?? 54 54?? 50 50?? 45 45 ?(a)
Find the sample mean and sample standard deviation. ?(b) Each
employee in the sample is given a 5 5?% raise. Find the sample mean
and sample standard deviation for the revised data set. ?(c) To
calculate the monthly? salary,...
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 55 38...
Sample annual salaries (in thousands of dollars) for employees at a
company are listed.
55 38 53 58 41 41 55 38 53 29 58 55 43
(a) Find the sample mean and the sample standard
deviation.
(b) Each employee in the sample is given a $5000 raise. Find the
sample mean and the sample standard deviation for the revised data
set.
(c) each employee in the sample takes a pay cut of $2000 from the
original salary. Find the...
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 40 35 ...
Sample annual salaries (in thousands of dollars) for employees
at a company are listed.
40 35 44 51 39 39 40 35 44 30 51 40 47 (a) Find the
sample mean and sample standard deviation. (b) Each employee in
the sample is given a $3000 raise. Find the sample mean and sample
standard deviation for the revised data set. (c) Each employee in
the sample takes a pay cut of $2000 from their original salary.
Find the sample mean...
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 52 40 ...
Sample annual salaries (in thousands of dollars) for employees
at a company are listed.
52 40 47 63 33 33 52 40 47 25 63 52 53
(a) Find the sample mean and sample standard deviation.
(b) Each employee in the sample is given a $2000 raise. Find
the sample mean and sample standard deviation for the revised data
set.
(c) Each employee in the sample takes a pay cut of $5000 from
their original salary. Find...
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 52 49 ...
Sample annual salaries (in thousands of dollars) for employees
at a company are listed.
52 49 45 51 38 38 52 49 45 34 51 52 42
(a) Find the sample mean and sample standard deviation.
(b) Each employee in the sample is given a 5% raise. Find the
sample mean and sample standard deviation for the revised data set.
(c) To calculate the monthly salary, divide each original
salary by 12. Find the sample mean and sample...
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 51 ...
Sample annual salaries (in thousands of dollars) for employees
at a company are listed.
42
51
57
47
41
41
42
51
57
31
47
42
46
(a) Find the sample mean and sample standard deviation.
(b) Each employee in the sample is given a
55%
raise. Find the sample mean and sample standard deviation for
the revised data set.
(c) To calculate the monthly salary, divide each original
salary by 12. Find the sample mean and sample standard...
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 51 34 ...
Sample annual salaries (in thousands of dollars) for employees
at a company are listed.
51
34
59
52
27
27
51
34
59
31
52
51
41
(a) Find the sample mean and sample standard deviation.
(b) Each employee in the sample is given a
66%
raise. Find the sample mean and sample standard deviation for
the revised data set.
(c) To calculate the monthly salary, divide each original
salary by 12. Find the sample mean and sample standard...
The annual salaries (in thousands of dollars) for the employees of a small technology firm are...
The annual salaries (in thousands of dollars) for the employees
of a small technology firm are as follows:
73
70
59
80
71
70
81
73
71
72
73
66
74
70
71
70
77
73
72
71
75
74
73
84
Construct a frequency table. Use 7 classes, start with a lower
class limit of 59, and use a whole number for the class width.
Annual Salaries
Frequency
Answer
-
Answer
Answer
Answer
-
Answer
Answer
Answer
-
Answer...
The following data represent the salaries (in thousands of dollars) of a sample of 13 employees...
The following data represent the salaries (in thousands of
dollars) of a sample of 13 employees of a firm: 26.5, 23.5, 29.7,
24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, and
28.2.
Calculate the interquartile range. What does this tell you
about the data? Show your work.
Describe the shape of distribution of salaries of employees of
the firm based on the values of the quartiles.
Give a possible reason for the shape of this data set, in terms...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Kant says that to act morally is to act out of duty. How does this differ...
- Suppose you are trying to determine the capacity (in gallons) of the gas tank needed on...
- List the arithmetic operators used in BASIC and state their priorities of execution in a statement....
- Describe the espoused values of a company you have worked for (or been exposed to -...
- Can you explain to me the differnces in how we paid for the health care (access...
- Discuss proactive and defensive marketing in context to the company position in the hypothetical market structure...
- Write a java code that could be used to show the simulation of a tornado. use...
ADVERTISEMENT