Answer:
682,000 miles
Step-by-step explanation:
Using the ratio of 186,000 miles per second:
we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon
where 'x' is the number of miles between the earth and the moon
Cross-multiply: x = 186,000*
Solve for x = 682,000 miles
Answer:
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,
, 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:
<em>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.</em>
