Question

A bank claims that the mean waiting time in line is less than 1.7 minutes. A random sample of 20 customers has a mean of 1.5 minutes with a standard deviation of 0.8 minute. If α = 0.05, test the bank's claim using p-values.

Answer #1

A local hardware store claims that the mean waiting time in line
is less than 3.7 minutes. A random sample of 20 customers has a
mean of 3.5 minutes with a standard deviation of 0.8 minute. If α =
0.05, test the bank's claim.
Null:
Alternative:
T=
p-Value=
Choose one: Reject or Fail to Reject
Conclusion in Context:

A fast food outlet claims that the mean waiting time in line is
less than 3.5 minutes. A random sample of 60 customers has a mean
of 3.4 minutes with a standard deviation of 0.6 minute. If α =
0.05, test the fast food outletʹs claim.

A fast food outlet claims that the mean waiting time in line is
less than 3.5 minutes. A random sample of 60 customers has a mean
of 3.6 minutes with a population standard deviation of 0.6 minute.
Using a significance level of 0.05, test the fast food outlet's
claim

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
minutes with a standard deviation of 2.1 minutes. At α = 0.01, test
the retailer's claim. Assume the distribution is normally
distributed. Round the test statistic to the nearest
thousandth.
a) State the Null and Alternate Hypotheses.
b) Is this a left, right or two-tailed test?
c) Find the sample test statistic.
d) Use...

Comcast claims that mean waiting time of customers is 3 minutes
with a standard deviation of 1 minute for customer service. A
survey completed by an outside firm found in a sample of 50 Comcast
customers that the mean waiting time was 2.75 minutes. At the .05
significance level, can we conclude that the mean waiting time is
less than 3 minutes?

In an advertisement, a pizza shop claims that its mean delivery
time is less than 15 minutes. A random selection of 16
delivery times has a sample mean of 14 minutes. It is known that
the population is a normal distribution with standard deviation of
delivery time is 2 minutes. Perform hypothesis test on the claim at
α = 0.05.

4. A bank manager has developed a new system to reduce the time
customers spend waiting for teller service during peak hours. The
manager hopes that the new system will reduce waiting times from
the current 9 to 10 minutes to less than 6 minutes. a. Set up the
null and alternative hypotheses needed if we wish to attempt to
provide evidence supporting the claim that the mean waiting time is
shorter than six minutes. b. The mean and the...

3. A local bank claims that the standard deviation of waiting
time for its customers to be served is lower than its competitors.
A sample of 15 waiting times at the local bank had a standard
deviation of 1.1 minutes. A sample of 16 waiting times from the
competing bank had a standard deviation of 1.3 minutes. Does the
data support the local bank’s claim?

A customer spending waiting time at a place check-in counter is
a random variable with mean 8.2 minutes and standard deviation 1.5
minutes. Suppose that a random sample of n = 49 customers is
observed. Find the probability that the average time waiting in
line for these customers is:
(a) Less than 9.3 minutes
(b) Between 5 and 10 minutes
(c) Less than 7.5 minutes

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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