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Waiting times? (in minutes) of customers at a bank where all customers enter a s

ID: 3376682 • Letter: W

Question

Waiting times? (in minutes) of customers at a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the coefficient of variation for each of the two sets of? data, then compare the variation.

Bank A? (single line

6.4

6.5  

6.6  

6.8  

7.2  

7.2  

7.3  

7.7  

7.7  

7.8  

Bank B? (individual lines):

4.4

5.3  

5.9  

6.1  

6.6  

7.7

7.7

8.5

9.3

9.6

The coefficient of variation for the waiting times at Bank A is

?%.

?(Round to two decimal places as? needed.)

The coefficient of variation for the waiting times at the Bank B is

%.

?(Round to two decimal places as? needed.)

Is there a difference in variation between the two data? sets?

A.

The waiting times at Bank B have considerably less variation than the waiting times at Bank A.

B.

The waiting times at Bank A have considerably less variation than the waiting times at Bank B.

C.

There is no significant difference in the variations.

Find the standard deviation of sample data summarized in a frequency distribution table by using the formula? below, where x represents the class midpoint and f represents the class frequency.

sequals=StartRoot StartFraction n left bracket Summation from nothing to nothing left parenthesis f times x squared right parenthesis right bracket minus left bracket Summation from nothing to nothing left parenthesis f times x right parenthesis right bracket squared Over n left parenthesis n minus 1 right parenthesis EndFraction EndRootn?f•x2??(f•x)2n(n?1)

standard deviation for frequency distribution

?(degrees°?F)

3535minus?4141

4242minus?4848

4949minus?5555

5656minus?6262

6363minus?6969

7070minus?7676

Frequency

11

33

88

77

55

11

sequals=

nothingdegrees°F ?(Round to one decimal place as? needed.)

A student earned grades of

Upper BB?,

Upper CC?,

Upper BB?,

Upper CC?,

and

Upper BB.

Those courses had the corresponding numbers of credit hours

33?,

22?,

44?,

11?,

and

11.

The grading system assigns quality points to letter grades as? follows:

Aequals=?4;

Bequals=?3;

Cequals=?2;

Dequals=?1;

Fequals=0.

Compute the grade point average? (GPA) as a weighted mean and round the result with two decimal places. If the? Dean's list requires a GPA of 3.00 or? greater, did this student make the? Dean's list?

The grade point average is

nothing.

?(Round to two decimal places as? needed.)

Did this student make the? Dean's list?

A.

No because the students GPA is not 4.0

B.

NoNo

because the? student's GPA is

lessless

than 3.0

C.

Yes because at least two of the student grades are B or above

D.

No

because the student has at least one grade

lessless

than 3

Heights of men on a baseball team have a? bell-shaped distribution with a mean of

175 cm175 cm

and a standard deviation of

6 cm6 cm.

Using the empirical? rule, what is the approximate percentage of the men between the following? values?a.

163163

cm and

187187

cmb.

169169

cm and

181181

cm

a.

nothing?% of the men are between

163163

cm and

187187

cm.

?(Round to one decimal place as? needed.)

b.

nothing?% of the men are between

169169

cm and

181181

cm.

?(Round to one decimal place as? needed.)

Find the third quartile

Q3

of the list of 24 sorted values shown below.

30 35 36 36 39 39 41 42 43 43 44 50 55 58 58 58 60 64 66 68 71 71 77 7830 35 36 36 39 39 41 42 43 43 44 50 55 58 58 58 60 64 66 68 71 71 77 78

The third quartile

Q3

is

nothing. ?(Type an integer or a? decimal.)

Bank A? (single line

6.4

6.5  

6.6  

6.8  

7.2  

7.2  

7.3  

7.7  

7.7  

7.8  

Bank B? (individual lines):

4.4

5.3  

5.9  

6.1  

6.6  

7.7

7.7

8.5

9.3

9.6

Explanation / Answer

> bank_a<-c(6.4,6.5,6.6,6.8,7.2,7.2,7.3,7.7,7.7,7.8);mean(bank_a);sd(bank_a);cv_bank_a=100*(sd(bank_a)/mean(bank_a));cv_bank_a
[1] 7.12
[1] 0.5223877
[1] 7.34
> bank_b<-c(4.4,5.3,5.9,6.1,6.6,7.7,7.7,8.5,9.3,9.6);mean(bank_b);sd(bank_b);cv_bank_b=100*(sd(bank_b)/mean(bank_b));cv_bank_b
[1] 7.11
[1] 1.731698
[1] 24.35

> isTRUE(cv_bank_a==cv_bank_b)
[1] FALSE

B.

The waiting times at Bank A have considerably less variation than the waiting times at Bank B.

is True .

As per chegg rule I just solved first four parts.