Question

In: Statistics and Probability

Base your answers to questions 1-3 on the following scenario: Suppose a paper company randomly chooses...

Base your answers to questions 1-3 on the following scenario: Suppose a paper company randomly chooses 10 days from their past quarter to see how many units were being shipped on weekdays (D) and weekends (E) by the company.

Units	165	140	120	230	145	235	125	180	150	210
Day	D	D	D	E	D	E	D	D	D	E

1. What is the sample variance of the amount of units shipped on a weekend by this company and what is the sample mean amount of units shipped on a weekday by this company?

2. What kind of plot would be appropriate for visualizing mean number units shipped based on day type (weekend or weekday).

3. The first quartile of the units shipped per day is 141.25, and the third quartile was 202.5. Based on the interquartile range, would you suspect a day where 260 units are sold to be an outlier?

Solutions

Expert Solution

Solution-1:

day(E)	XBAR	E-XBAR	(E-Xbar)^2
230	225	5	25
235	225	10	100
210	225	-15	225
		TOTAL	350

sample variance=

s^2=350/3-1

s^2=175

sample variance for weekend=175 units

what is the sample mean amount of units shipped on a weekday by this company?

d
165
140
120
145
125
180
150

d=sum of d/total d

=1025/7

=146.4286

the sample mean amount of units shipped on a weekday by this company=146.4286

2. What kind of plot would be appropriate for visualizing mean number units shipped based on day type (weekend or weekday).

comparative box plot would be appropriate

3. The first quartile of the units shipped per day is 141.25, and the third quartile was 202.5. Based on the interquartile range, would you suspect a day where 260 units are sold to be an outlier?

IQR=Q3-Q1=202.5-141.25

IQR=61.25

LOWER FENCE=Q1-1.5IQR=141.25-1.5*61.25=49.375

UPPER FENCE=Q3+1.5IQR=202.5+1.5*61.25= 294.375

value below lower fence is outlier

value above upper fence is outlier

260 falls in the range'

49.375<260<294.375

260 IS NOT AN OUTLIER

orchestra answered 1 year ago

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