Question
In: Statistics and Probability
In 2017, a study on the salary distribution of Paris residents was conducted. Assume that the...
In 2017, a study on the salary distribution of Paris residents was conducted. Assume that the salaries were normally distributed. A random sample of 10 salaries was selected and the data are listed below:
| 3200 | 3500 | 3000 | 2100 | 2950 |
| 2050 | 2440 | 3100 | 3500 | 2500 |
In another study conducted in the same year (2015), the average monthly salary of residents in Bordeaux was found to be about €2353. And the standard deviation of the monthly salaries was €420.
a. Assume that the standard deviation of the salaries was still the same as in 2015. Estimate the average salary (in 2017) with 95% confidence.
( Answer , Answer )
b. The assumption made in Question a was certainly unrealistic. Estimate the average salary (in 2017) with 95% confidence again assuming that the standard deviation had changed from 2015.
( Answer , Answer )
c. Estimate the variance of monthly salaries of Paris residents (in 2017) based on the sample provided above at a 95% confidence level.
( Answer , Answer )
d.
How would you interpret the result in Question c above?
Select one:
We are 95% confident that the confidence interval obtained in Question 10 contains s2s2.
We are 95% confident that the confidence interval obtained in Question 10 contains σ2σ2.
We are 90% confident that the confidence interval obtained in Question 10 contains σ2σ2.
We are 95% confident that the confidence interval obtained in Question 10 contains μμ.
We are 95% confident that the confidence interval obtained in Question 10 contains x¯¯¯x¯.
We are 90% confident that the confidence interval obtained in Question 10 contains μμ.
Solutions
orchestra answered 2 years agoRelated Solutions
In 2017, a study on the salary distribution of Paris residents was conducted. Assume that the...
In 2017, a study on the salary distribution of Paris residents
was conducted. Assume that the salaries were normally
distributed.
A random sample of 10 salaries was selected and the data are
listed below: 3200 3500 3000 2100 2950 2050 2440 3100 3500 2500
Question 8: Assume that the standard deviation of the salaries
was still the same as in 2015. Estimate the average salary (in
2017) with 95% confidence.
Question 9: The assumption made in Question 8 was certainly...
In a study of monthly salary distribution of residents in Paris conducted in year 2015, it...
In a study of monthly salary distribution of residents in Paris
conducted in year 2015, it was found that the salaries had an
average of €2200 (EURO) and a standard deviation of €550.
One years later (in 2016), it was suspected that the average
salary had increased. A hypothesis test was conducted at a
significance level of 5% to test the suspicion. A random sample of
size 64 was chosen with mean of €2385 and standard deviation of
€650. (Answer...
In a study of monthly salary distribution of residents in Paris conducted in year 2015, it...
In a study of monthly salary distribution of residents in
Paris conducted in year 2015, it was found that the salaries had an
average of €2200 (EURO) and a standard deviation of €550.
One years later (in 2016), it was suspected that the average
salary had increased. A hypothesis test was conducted at a
significance level of 5% to test the suspicion. A random sample of
size 64 was chosen with mean of €2385 and standard deviation of
€650.
Question...
a. In a study of monthly salary distribution of residents in Paris conducted in year 2015,...
a. In a study of monthly salary distribution of residents in
Paris conducted in year 2015, it was found that the salaries had an
average of €2200 (EURO) and a standard deviation of €550. Assume
that the salaries were normally distributed.
(i): Consider sampling with sample size 64 on the above
population. Compute the mean of the sampling distribution of the
mean (X).
(ii): Compute the standard deviation of the sampling
distribution of the mean in Question 1 above.
(iii):...
In a study of monthly salary distribution of residents in Paris conducted in year 2015, it...
In a study of monthly salary distribution of residents in Paris
conducted in year 2015, it was found that the salaries had an
average of €2200 (EURO) and a standard deviation of €550. Assume
that the salaries were normally distributed.
Question 1: Consider sampling with sample size 64 on the above
population. Compute the mean of the sampling distribution of the
mean (?̅).
Question 2: Compute the standard deviation of the sampling
distribution of the mean in Question 1 above....
In a study of monthly salary distribution of residents in Paris conducted in year 2015, it...
In a study of monthly salary distribution of residents in Paris
conducted in year 2015, it was found that the salaries had an
average of €2200 (EURO) and a standard deviation of €550. Assume
that the salaries were normally distributed.
In 2017, a study on the salary distribution of Paris residents
was conducted. Assume that the salaries were normally distributed.
A random sample of 10 salaries was selected and the data are listed
below:
3200
3500
3000
2100
2950
2050...
In another study conducted in the same year (2015), the average monthly salary of residents in...
In another study conducted in the same year (2015), the average
monthly salary of residents in Bordeaux was found to be about
€2353. And the standard deviation of the monthly salaries was
€420.
In 2017, a study on the salary distribution of Paris residents was
conducted. Assume that the salaries were normally distributed. A
random sample of 10 salaries was selected and the data are listed
below:
3200 3500 3000 2100 2950 2050 2440 3100 3500 2500
Question 8:
Assume...
A study conducted by ABC International showed that Paris is the most expensive place to live...
A study conducted by ABC International showed that Paris is the
most expensive place to live of the 12 European Community cities.
Paris ranks second in housing expense, with a rental unit of six to
nine rooms costing an average of $4292 a month. Suppose a company’s
CEO believes this figure is too high and decides to conduct her own
survey. Her assistant contacts the owners of 55 randomly selected
rental units of six to nine rooms and finds that...
Smoking habits of UK residents: A survey was conducted to study the smoking habits of UK...
Smoking habits of UK residents: A survey was
conducted to study the smoking habits of UK residents. Below is a
data matrix displaying a portion of the data collected in this
survey. Note that "£" stands for British Pounds Sterling, "cig"
stands for cigarettes, and "N/A" refers to a missing component of
the data.
sex
age
marital
grossIncome
smoke
amtWeekends
amtWeekdays
1
Female
42
Single
Under £2600
Yes
12 cig/day
12 cig/day
2
Male
44
Single
£10,400 to £15,600
No...
In another study conducted in 2016, the average of monthly salaries of 45 randomly chosen residents...
In another study conducted in 2016, the average of monthly
salaries of 45 randomly chosen residents in Bordeaux was found to
be €3200; the sample standard deviation of the chosen salaries was
€600. The suspicion was that the average salary of residents in
Paris is lower than the average salary of residents in
Bordeaux.
The research team was to conduct a ?-test to test the suspicion.
But they had no information on the two population variances. So
they first conducted...
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