Question
In: Statistics and Probability
The following set of data represents the distribution of annual salaries of a random sample of...
- The following set of data represents the distribution of annual salaries of a random sample of
100managers in a large multinational company:
|
Salary range (£` 000' ) |
Managers |
|
20 but under 25 25 but under 30 30 but under 35 35 but under 40 40 but under 45 45 but under 50 |
5 10 25 35 25 5 |
- Calculate the mean and standard deviation. [5 Marks]
- The company chairman claims that the managers in the company earn on average annual salary in excess of £ 35,500. Use the result in (i) to test the chairman’s claim at 5% level of significance. [5 Marks]
sample size is 105. thanks
Solutions
orchestra answered 1 year agoRelated Solutions
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35.9
33.8
34.7
31.5
33.2
29.1
30.7 31.2
36.1 34.9
a) Find the sample mean and sample standard deviation
b) Construct a 90% confidence interval for the population mean and
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c) Calculate the two standard deviation interval and discuss the
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Data Set 1 presents a sample of annual salaries for recently hired plant operators at a chemical manufacturing company. Use Excel's ToolPak (or any statistical package that you are comfortable with) to compute descriptive statistics for the data. Submit your statistical output from Excel, which should include values for the mean, median, mode, sample variance, and sample standard deviation, and a one-page Word document in which you present an analysis of your results.
These are the calculations.....
Annual Salary...
Each of the following three data sets represents the IQ scores of a random sample of...
Each of the following three data sets represents the IQ scores
of a random sample of adults. IQ scores are known to have a mean
and median of 100. For each data set, determine the sample
standard deviation. Then recompute the sample standard deviation
assuming that the individual whose IQ is
108 is accidentally recorded as 180. For each sample size,
state what happens to the standard deviation. Comment on the role
that the number of observations plays in resistance....
The annual salaries (in dollars) for a random sample of 21 accounting executives in Toronto, Ontario...
The annual salaries (in dollars) for a random sample of 21
accounting executives in Toronto, Ontario are listed below:
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66,979 66,940 82,976
67,073
72,006 73,496 72,972
66,169 65,983 55,646 62,758
58,012 63,756 75,536
60,403 70,445 61,507
66,555
What is the best estimate of the average annual salaries?
Determine the 95% confidence interval for the average Salaries.
Interpret its meaning.
An Analyst claims that the mean annual Salary for
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The data set below on the left represents the annual rate of return? (in percent) of...
The data set below on the left represents the annual rate of
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and the data set below on the right represents the annual rate of
return? (in percent) of eight randomly sampled stock mutual funds.
Use the information in the table below to complete parts
?(a) through
?(d).
Then complete part e
Bond mutual funds
3.1
1.7
1.8
3.3
2.3
2.6
1.5
1.9
Stock mutual funds
9.3
9.0
8.3
8.0...
The following data from a random sample represents the average daily energy intake in kJ for...
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considered to be of interest. Assuming that the population is
normal and the population variance is unknown. An appropriate
two-tailed hypothesis test at the 5% level of significance...
The following data represents a random sample of birth weignts (in kgs) of male babies born...
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3.73
3.02
4.37
4.09
3.73
2.47
4.33
4.13
3.39
4.47
3.68
3.22
4.68
3.43
(a) Do the data follow a normal distribution? ? Yes
No
Report the P-value of the normality test:
(b) Do the data support the claim that the mean birth weight of
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at least...
The accompanying frequency distribution represents the square footage of a random sample of 500 houses that...
The accompanying frequency distribution represents the square
footage of a random sample of 500 houses that are owner occupied
year round. Approximate the mean and standard deviation square
footage.
The mean square footage is x bar = ?
Table
Square footage
Frequency
0 ? 499?1
9
500 ? 999?1
13
?1,000 - ?1,499
33
?1,500 - 1,999
115
?2,000 - 2,499
125
?2,500 - 2,999
83
?3,000 - 3,499
45
?3,500 - ?3,999
41
?4,000 ? ?4,499
26
?4,500 ?...
The accompanying frequency distribution represents the square footage of a random sample of 500 houses that...
The accompanying frequency distribution represents the square
footage of a random sample of 500 houses that are owner occupied
year round. Approximate the mean and standard deviation square
footage.
Square footage
Lower Limit
Upper Limit
Frequency
0-499
0
499
5
500-999
500
999
17
1000-1499
1000
1499
33
1500-1999
1500
1999
121
2000-2499
2000
2499
119
2500-2999
2500
2999
81
3000-3499
3000
3499
47
3500-3999
3500
3999
41
4000-4499
4000
4499
26
4500-4999
4500
4999
10
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