Mathematics, 12.02.2020 04:39 robert7248

Listed below are amounts (in millions of dollars) collected from parking meters by a security company in a certain city. A larger data set was used to convict 5 members of the company of grand larceny. Find the mean and median for each of the two samples and then compare the two sets of results. Do the limited data listed here show evidence of stealing by the security company's employees?
Security companies:
Security Company (#'s on left) Other Companies (#'s on right)
1.6; 1.5
1.8; 2.1
1.6; 1.9
1.8; 2.2
1.7; 1.9
1.2; 1.7
1.1; 2.1
1.2; 2.2
1.2; 2.2
1.5; 1.8

Find the means.
The mean for the security company is $ _ million and the mean for the other companies is $ ?
Find the medians.
The median for the security company is $ _ million and the median for the other companies is $ ?
Compare the results. Choose the correct answer below.
A. The median is lower for the collections performed by othercompanies, but the mean is lower for the security company.
B. The mean and the median for the security company are both lower than the mean and the median for the collections performed by other companies.
C. The mean and median appear to be roughly the same for all collections.
D. The mean and the median for the collections performed by other companies are both lower than the mean and the median for the security company.
E. The mean is lower for the security company, but the median is lower for the collections performed by other companies.

Do the limit data listed here show evidence of stealing by the security company's employees?
A. The sample size is not large enough to show any meaningful results.
B. Since the security company appears to have collected lower revenue than the other companies, there is some evidence of stealing by the security company's employees.
C. Since the security company does not appear to have collected lower revenue than the other companies, there is no evidence of stealing by the security company's employees.
D. Since the data is not matched, there is no evidence of stealing by the security company's employees.

Answers: 2

Show answers

Answers

Answer from: nabilop234

a i.) The mean for the security company is $ 1.47 million

a ii.) The median for the security company is $ 1.55 million

a iii.) The mean for the other companies is $ 1.96 million.

a iv.) The mean for the other companies is $ 2.0 million.

b) B. The mean and the median for the security company are both lower than the mean and the median for the collections performed by other companies.

c) B. Since the security company appears to have collected lower revenue than the other companies, there is some evidence of stealing by the security company's employees.

Step-by-step explanation:

By mean, we sum all the observation and divide by the sample size (n). Where sample size is the number of observations.

Mathematically,

$\bar{x} = \frac{\sum\limits_{i=1}^{n}{x_{i}}}{n}$ , where xi is the observations or values given.

By median, we mean middle number. So, we sort the values in ascending or descending order and take the value(s) in the middle. If the sample size is even, we take the 2 middle values and obtain the average.

See below, R programming codes for the solution.

##########...... R code

s = c(1.6,1.8,1.6,1.8,1.7,1.2,1.1,1.2,1.2,1.5)

c = c(1.5,2.1,1.9,2.2,1.9,1.7,2.1,2.2,2.2,1.8)

length(s)

mean(s); median(s)

mean(c);median(c)

t = (mean(s)-mean(c))/sqrt((var(s) + var(c))/length(s))

pnorm(t)

##############################################

For question C, we compute the test statistics, and obtain the p-value, see the last two lines of the R codes.

And since the p-value is less than level of significance, the test is significant. Thus, we conclude that:

Since the security company appears to have collected lower revenue than the other companies, there is some evidence of stealing by the security company's employees.

Answer from: Quest

8 2/3 is the answer

step-by-step explanation: just use a calculator

Answer from: Quest

Idrk but i think u should figure out the n dia n then the units it will make it way more easier

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Choose the point slope form of the equation below that represents the like that passes through the points (-6,4) and (2, 0)

Answers: 1

Answer

Mathematics, 21.06.2019 16:00

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Answers: 2

Answer

Mathematics, 21.06.2019 18:30

Solve 2x2 + 8 = 0 by graphing the related function. there are two solutions: . there are no real number solutions. there are two solutions: 2 and -2

Answers: 3

Answer

Mathematics, 21.06.2019 18:50

The number of fish in a lake can be modeled by the exponential regression equation y=14.08 x 2.08^x where x represents the year

Answers: 3

Answer

You know the right answer?

Listed below are amounts (in millions of dollars) collected from parking meters by a security compan...