The data table contains waiting times of customers at abank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is less than 2.1 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Complete parts(a) through(d) below.

6.8

6.8

6.1

6.1

8.4

6.3

6.8

6.7

7.7

6.3

8.8

8.1

4.7

7.8

8.3

6.7

7.6

6.9

7.3

8.7

7.4

7.4

7.6

14.8

7.1

6.3

6.7

6.5

6.5

7.4

11.1

6.4

8.1

6.5

11.8

6.4

7.3

6.5

6.6

8.1

6.3

6.2

7.2

6.7

7.9

6.3

7.7

7.2

6.3

7.3

10.9

7.4

7.1

7.7

6.3

8.5

6.4

6.4

8.7

7.3

a. Identify the null and alternative hypotheses. Choose the correct answer below.

A.H0:=2.1 minutes

HA:2.1 minutes

B.H0:2.1 minutes

HA:<2.1 minutes

C.H0:<2.1 minutes

HA:=2.1 minutes

D.H0:=2.1 minutes

HA:<2.1 minutes

b. Compute the test statistic.

2=

(Round to two decimal places asneeded.)

c. Find theP-value of the test statistic.

TheP-value of the test statistic is

(Round to three decimal places asneeded.)

d. Does the use of the single line appear to reduce the variation among waitingtimes?

There is not or is sufficient evidence to conclude that the single line reduced the variation among waiting times because H0 is not rejected or rejected by the hypothesis test.