The data table contains waiting times of customers at a​ bank, 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 1.9 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 0.025. Complete parts​ (a) through​ (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below.   b. Compute the test statistic.   c. Find the​ P-value of the test statistic.   d. Does the use of the single line appear to reduce the variation among waiting​ times?

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The data table contains waiting times of customers at a​ bank, 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 1.9 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 0.025. Complete parts​ (a) through​ (d) below.

a. Identify the null and alternative hypotheses. Choose the correct answer below.
 
b. Compute the test statistic.
 
c. Find the​ P-value of the test statistic.
 
d. Does the use of the single line appear to reduce the variation among waiting​ times?
 
The data table contains waiting times of customers at a bank, 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 1.9 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 0.025. Complete parts (a) through (d) below.
E Click on the icon to view the data.
i Customer Waiting Times
a. Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: o< 1.9 minutes
HA: 0 = 1.9 minutes
Customer Waiting Times
(in minutes)
O C. Ho: o2 1.9 minutes
6.4
6.9
9.5
6.3
6.3
7.3
7.7
6.4
7.1
7.6
HA: o<1.9 minutes
6.2
7.6
8.6
7.4
7.2
12.4
b. Compute the test statistic.
7.1
7.2
7.9
7.9
7.8
7.8
7.4
5.5
6.7
7.4
7.4
7.8
6.5
11.3
6.1
6.5
7.7
(Round to two decimal places as needed.)
7.1
7.6
11.9
6.7
7.1
7.4
7.2
6.3
c. Find the P-value of the test statistic.
66
6.8
9.1
8.2
6.9
7.5
8.2
7.8
7.7
6.5
The P-value of the test statistic is
7.4
(Round to three decimal places as needed.)
8.4
6.5
d. Does the use of the single line appear to reduce the variation among waiting times?
7.6
6.6
7.6
7.1
7.2
7.7
There
sufficient evidence to conclude that the single line reduced the variation an
Print
Done
Transcribed Image Text:The data table contains waiting times of customers at a bank, 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 1.9 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 0.025. Complete parts (a) through (d) below. E Click on the icon to view the data. i Customer Waiting Times a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o< 1.9 minutes HA: 0 = 1.9 minutes Customer Waiting Times (in minutes) O C. Ho: o2 1.9 minutes 6.4 6.9 9.5 6.3 6.3 7.3 7.7 6.4 7.1 7.6 HA: o<1.9 minutes 6.2 7.6 8.6 7.4 7.2 12.4 b. Compute the test statistic. 7.1 7.2 7.9 7.9 7.8 7.8 7.4 5.5 6.7 7.4 7.4 7.8 6.5 11.3 6.1 6.5 7.7 (Round to two decimal places as needed.) 7.1 7.6 11.9 6.7 7.1 7.4 7.2 6.3 c. Find the P-value of the test statistic. 66 6.8 9.1 8.2 6.9 7.5 8.2 7.8 7.7 6.5 The P-value of the test statistic is 7.4 (Round to three decimal places as needed.) 8.4 6.5 d. Does the use of the single line appear to reduce the variation among waiting times? 7.6 6.6 7.6 7.1 7.2 7.7 There sufficient evidence to conclude that the single line reduced the variation an Print Done
The data table contains waiting times of customers at a bank, 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 1.9 minutes, which is the standard deviation of waiting times at
the same bank when separate waiting lines are used
E Click on the icon to view the data.
teach teller window. Use a significance level of 0.025. Complete parts (a) through (d) below.
a. Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: o < 1.9 minutes
O B. Ho: 0= 1.9 minutes
HA: 0 = 1.9 minutes
HA: 0#1.9 minutes
O C. Ho: 02 1.9 minutes
O D. Hn: 0= 1.9 minutes
H: o<1.9 minutes
HA: o<1.9 minutes
b. Compute the test statistic.
(Round to two decimal places as needed.)
c. Find the P-value of the test statistic.
The P-value of the test statistic is
(Round to three decimal places as needed.)
d. Does the use of the single line appear to reduce the variation among waiting times?
There
V sufficient evidence to conclude that the single line reduced the variation among waiting times because H, is
by the hypothesis test.
Transcribed Image Text:The data table contains waiting times of customers at a bank, 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 1.9 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used E Click on the icon to view the data. teach teller window. Use a significance level of 0.025. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o < 1.9 minutes O B. Ho: 0= 1.9 minutes HA: 0 = 1.9 minutes HA: 0#1.9 minutes O C. Ho: 02 1.9 minutes O D. Hn: 0= 1.9 minutes H: o<1.9 minutes HA: o<1.9 minutes b. Compute the test statistic. (Round to two decimal places as needed.) c. Find the P-value of the test statistic. The P-value of the test statistic is (Round to three decimal places as needed.) d. Does the use of the single line appear to reduce the variation among waiting times? There V sufficient evidence to conclude that the single line reduced the variation among waiting times because H, is by the hypothesis test.
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