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 1.3 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 normally distributed population. Complete parts (a) through (d) below.

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Part 1

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

A.

H0:1.3 minutes

HA:<1.3 minutes

B.

H0:<1.3 minutes

HA:=1.3 minutes

C. H0:=1.3 minutes

HA:1.3 minutes

D.

H0:=1.3 minutes

HA:<1.3 minutes

Part 2

b. Compute the test statistic.

Part 3

c. Find the P-value of the test statistic.

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.