Question

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 H0 if z < −1.645. True False Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) What is your decision regarding H0? Reject H0 Do not reject H0 What is the p-value? (Round your answer to 4 decimal places.)

Answer #1

The waiting time for customers at MacBurger Restaurants follows
a normal distribution with a population standard deviation of 3
minute. At the Warren Road MacBurger, the quality assurance
department sampled 49 customers and found that the mean waiting
time was 16.25 minutes. At the 0.05 significance level, can we
conclude that the mean waiting time is less than 17 minutes? Use α
= 0.05.
a. State the null hypothesis and the alternate
hypothesis.
H0: μ ≥
H1: μ...

The waiting time for customers at MacBurger Restaurants follows
a normal distribution with a population standard deviation of 5
minute. At the Warren Road MacBurger, the quality assurance
department sampled 84 customers and found that the mean waiting
time was 13.75 minutes. At the 0.05 significance level, can we
conclude that the mean waiting time is less than 15 minutes? Use α
= 0.05.
a. State the null hypothesis and the alternate
hypothesis.
H0: μ ≥
H1: μ...

2. Suppose the waiting time at the hospital follows a normal
distribution. An
investigator randomly sampled 49 patients and found an average
waiting time of
15 minutes and a standard deviation of 7 minutes. At the 1%
significance level,
can we conclude that the mean waiting time is less than 17
minutes?
A. Specify the null and alternative hypotheses.
B. Determine the rejection region.
C. Calculate the test statistics.
D. Make a decision regarding the null hypothesis.
E. Report the...

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...

A large national survey shows that the waiting times for fast
food restaurants is approximately normally distributed with a mean
of μ = 4.2 minutes and a standard deviation of σ = 0.9 minutes. A
fast food company claims that their mean waiting time in line is
less than 4.2 minutes. To test the claim, a random sample of 95
customers is selected, and is found to have a mean of 3.7 minutes.
We will use this sample data to...

A national grocer’s magazine reports the typical shopper spends
7 minutes in line waiting to check out. A sample of 17 shoppers at
the local Farmer Jack’s showed a mean of 6.4 minutes with a
standard deviation of 4.3 minutes.
Is the waiting time at the local Farmer Jack’s less than that
reported in the national magazine? Use the 0.050 significance
level.
What is the decision rule? (Negative amount should be
indicated by a minus sign. Round your answer to...

Research by First Bank of Illinois revealed that 8 percent of
its customers wait more than five minutes to do their banking when
not using the drive-through facility. Management considers this
reasonable and will not add more tellers unless the proportion
becomes larger than 8 percent. The branch manager at the Litchfield
Branch believes that the wait is longer than the standard at her
branch and requested additional part-time tellers. To support her
request she found that, in a sample...

1-) A national grocer’s magazine reports the typical shopper
spends 9.5 minutes in line waiting to check out. A sample of 27
shoppers at the local Farmer Jack’s showed a mean of 9.1 minutes
with a standard deviation of 2.2 minutes.
Is the waiting time at the local Farmer Jack’s less than that
reported in the national magazine? Use the 0.010 significance
level.
What is the decision rule? (Negative amount should be
indicated by a minus sign. Round your answer...

A recent national survey found that high school students watched
an average (mean) of 7.1 movies per month with a population
standard deviation of 1.0. The distribution of number of movies
watched per month follows the normal distribution. A random sample
of 33 college students revealed that the mean number of movies
watched last month was 6.2. At the 0.05 significance level, can we
conclude that college students watch fewer movies a month than high
school students?
State the null...

A recent national survey found that high school students watched
an average (mean) of 7.6 movies per month with a population
standard deviation of 0.5. The distribution of number of movies
watched per month follows the normal distribution. A random sample
of 41 college students revealed that the mean number of movies
watched last month was 7.0. At the 0.05 significance level, can we
conclude that college students watch fewer movies a month than high
school students?
State the null...

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