Question

In Meijer supermarket, the customer’s waiting time to check out is approximately normally distributed with a standard deviation of 2.5 minutes. A sample of 25 customer waiting times produced a mean of 8.2 minutes. Is this evidence sufficient to reject the supermarket’s claim that its customer checkout time averages no more than 7 minutes? Complete this hypothesis test using the 0.02 level of significance.

*H0: ?= 7 vs. Ha: ?>7.*

a) Calculate the value of the test statistic,
*z*⋆*.*

b) Find the *p*-value of the test statistic (for
*p*-value approach). Mark and label the test statistic, z*;
and shade the area represented by the p-value/values on the
graph.

c) Determine the critical region and the critical value(for classical approach). Mark and label the critical value/values; shade the area represented by the level of significance ? = 0.02 on the graph.

d) State the decision rule for the *p*-value
approach.

e) State the decision rule for the classical approach.

f) State the decision (reject or fail to reject *H*0),
and the conclusion you would reach based on the evidence
provided.

Answer #1

The population mean waiting time to check out of a supermarket
has historically been 4 minutes. In an effort to reduce the waiting
time, you, as store manager, conducted an experiment with infrared
cameras that use body heat and in-store software to determine how
many lanes should be opened. To test the effectiveness of this
process, you selected a random sample of 100 customers and recorded
their waiting time. For this sample, the mean waiting time to check
out was...

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n1= 15 n2= 16
x1= 5.3 minutes xbar2=5.6 minuets
s1= 1.1 minutes s2= 1.0 minutes
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Is the waiting time at the local Farmer Jack’s less than that
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The manager of a
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Exercise 10-6 (LO10-4) The waiting time for customers at
MacBurger Restaurants follows a normal distribution with a
population standard deviation of 1 minute. At the Warren Road
MacBurger, the quality-assurance department sampled 50 customers
and found that the mean waiting time was 2.75 minutes. At the 0.05
significance level, can we conclude that the mean waiting time is
less than 3 minutes? State the null hypothesis and the alternate
hypothesis. State whether the decision rule is true or false:
Reject...

The population mean waiting time to check out of a supermarket
has historically been 4 minutes. In an effort to reduce the waiting
time, you, as store manager, conducted an experiment with infrared
cameras that use body heat and in-store software to determine how
many lanes should be opened. To test the effectiveness of this
process, you selected a random sample of 100 customers and recorded
their waiting time. For this sample, the mean waiting time to check
out was...

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A local retailer claims that the mean waiting time is less than
7 minutes. A random sample of 20 waiting times has a mean of 5.5
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c) Find the sample test statistic.
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