hypotheses. Choose the correct answer below. A. H0: σ<1.9 minutes HA: σ=1.9 minutes B. H0: σ=1.9 minutes HA: σ≠1.9 minutes C. H0: σ≥1.9 minutes HA: σ<1.9 minutes D. H0: σ=1.9 minutes HA: σ<1.9 minutes Part 2 b. Compute the test statistic. χ2=enter your response here (Round to two decimal places as needed.) Part 3 c. Find the P-value of the test statistic. The P-value of the test statistic is enter your response here. (Round to three decimal places as needed.) Part 4 d. Does the use of the single line appear to reduce the variation among waitin
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 0.01. Assume that the sample is a simple random sample selected from a
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Part 1
a. Identify the null and alternative hypotheses. Choose the correct answer below.
A.
H0: σ<1.9 minutes
HA: σ=1.9 minutes
B.
H0: σ=1.9 minutes
HA: σ≠1.9 minutes
C.
H0: σ≥1.9 minutes
HA: σ<1.9 minutes
D.
H0: σ=1.9 minutes
HA: σ<1.9 minutes
Part 2
b. Compute the test statistic.
χ2=enter your response here
(Round to two decimal places as needed.)
Part 3
c. Find the P-value of the test statistic.
The P-value of the test statistic is enter your response here.
(Round to three decimal places as needed.)
Part 4
d. Does the use of the single line appear to reduce the variation among waiting times?
There
▼
is
is not
sufficient evidence to conclude that the single line reduced the variation among waiting times because H0 is
▼
rejected
not rejected
by the hypothesis test.
Customer Waiting Times
(in minutes)
8.5
6.9
8.3
7.2
7.8
7.7
6.9
7.3
6.3
6.9
7.3
6.4
7.8
7.4
8.2
7.1
8.5
8.5
9.1
6.9
7.8
6.3
6.9
5.1
7.7
7.3
6.3
7.6
7.5
7.9
7.7
7.5
8.1
7.9
6.7
7.4
6.7
6.5
6.8
6.4
7.1
7.5
9.1
6.8
7.5
6.3
8.8
7.2
5.4
7.2
8.1
6.3
7.5
7.7
7.1
6.4
6.7
6.5
6.9
7.7
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