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| Category | Math |
|---|---|
| Subject | Statistics |
| Difficulty | Undergraduate |
| Status | Solved |
| More Info | Statistic Homework Answers |
Short Assignment Requirements
Assignment Description
Question to answer:
Test, at the 5% level of significance, whether Job Type of an employee is related to the employee’s gender?
Side notes:
The data can be assumed to be normally distributed for all continuous variables.
Examples of how the answers should look like from a past assignment will be at the bottom.
Data set:
A study was commissioned to investigate the characteristics of employees at a major business. Data was collected on 60 employees and the following variables recorded.
Column 1 Gender What is your gender?
Column 2 Age How old are you?
Column 3 Salary What is your yearly salary (before Tax)?
Column 4 Overtime How much overtime do you work each week?
Column 5 Job Type What department do you work in? (1 = Purchasing, 2 =
Marketing/Human Resource, 3 = Accounting)
Data set to be used on next page
Gender Age Salary Overtime Job Type
F 30 36000 4 2
M 25 44000 8 3
F 40 63000 1 2
F 21 31000 9 3
M 38 48000 0 2
F 26 53000 8 2
M 18 48000 10 1
F 18 40000 11 2
M 43 75000 1 1
F 38 48000 7 1
M 33 46000 3 3
F 27 47000 11 1
M 37 57000 5 2
F 29 38000 7 3
M 31 52000 4 1
F 40 65000 1 2
F 35 47000 2 1
M 28 40000 5 1
F 53 67000 5 3
M 31 42000 8 3
F 35 45000 2 2
F 26 56000 10 2
M 59 76000 3 2
F 26 51000 6 2
F 28 38000 8 2
F 26 35000 12 2
M 19 32000 8 2
F 29 40000 9 2
F 19 35000 6 1
F 24 25000 10 2
F 38 50000 2 2
F 38 59000 6 2
M 50 80000 5 2
M 28 46000 12 1
M 46 26000 0 3
M 21 26000 8 2
M 65 84000 2 3
M 19 35000 2 2
F 35 46000 1 2
F 34 50000 6 3
F 21 30000 9 3
F 24 56000 8 2
M 56 70000 5 1
F 38 58000 2 1
M 32 53000 4 1
M 36 51000 3 2
M 32 49000 1 3
F 20 27000 12 2
M 52 79000 5 2
F 43 61000 4 3
M 20 39000 1 1
F 38 67000 0 1
F 32 48000 2 2
F 32 71000 3 3
F 26 39000 7 2
M 42 73000 6 1
F 45 37000 1 2
F 26 45000 5 2
M 29 44000 11 3
F 25 36000 10 2
A study was commissioned to investigate the characteristics of properties that are for sale. Data was collected on 60 houses and the following variables recorded.
Column 1 Value Value of house in thousands of dollars
Column 2 Lot size Size of the property
Column 3 Bed Number of bedrooms in house
Column 4 Bath Number of bathrooms in house
Column 5 Rooms Total number of rooms in the house
Column 6 Age Age of house in years
Column 7 Fireplace Number of fireplaces
Question 1
For the variable Value find the a) mean,
b) median,
c) range,
d) standard deviation and
e) coefficient of variation.
Mean = $408,550
Median = $404,100
Range = $457,300
Standard Deviation = $102,239
Coefficient of Variation = 25.02%
Question 2
Estimate with 95% confidence the population average age of a house.
The 95% confidence interval for the average age of a house is from 17.90 to 21.77 years old.
Question 3
Using an appropriate hypothesis test, at a 5% level of significance, can you conclude that there is any difference between the average value between houses that have a fireplace (Fireplace = 1) and houses that don’t have a fireplace (Fireplace = 0)?
Question 4
(a) Estimate the regression equation to predict the Value (y) from the number of Rooms (x).
(b) Determine the coefficient of determination and interpret its value.
(c) Does the data provide evidence that the slope of the equation from part a) is positive? Perform an appropriate hypothesis test using a 5% level of significance.
