Question

3) The amount of time it takes for a grocery clerk to check out a customer is evenly distributed between 1 and 5 minutes.

a. What kind of distribution is this?

b. What is the probability that it will take more than 4 minutes to check out the customer?

c. What is the probability that it will take between 2 and 4 minutes?

d. What is the probability that it will take exactly 2 minutes?

4) A bank wishing to increase its customer base advertises that it has the fastest service and that virtually all of its customers are served in less than 10 minutes. A management scientist has studied the service times and concluded that service times are exponentially distributed with a mean of 5 minutes. Determine what the bank means when it claims virtually all its customers are served in under 10 minutes

6) For the following problems, identify the hypotheses, define Type I and Type II errors, and discuss the consequences of each error. (When you set up the hypotheses, consider which is the hypothesis you are ”trying to prove”, and that is your alternative. The null hypothesis is then the status quo.)

a. The FDA judges the safety of new drugs. When faced with a new drug, there are two possible decisions: approve the drug or disapprove the drug.

b. You are faced with two investments. One is very risky, but potential returns are high, while the other one is safe but the potential is quite limited. Pick one.

c. You are an airline pilot. You smell smoke in the cockpit, and the nearest airport is less than 5 minutes away. Should you land the plane immediately?

7) I am shopping for a dresser on KSL. I look at 30 dressers. I know the standard deviation of dresser prices is $20, and the mean cost of the dressers I look at is $80. I had been told that dressers should be $50.

(a) Write down the null and alternative hypotheses.

(b) What is the value of the test statistic?

(c) What is the p-value? Interpret this value.

(d) What is the rejection region if α = .04?

(e) Interpret the result - do we accept or reject the null hypothesis.

(f) Create a 95% confidence interval for the true average cost of a dresser and interpret the confidence interval.

Answer #1

3) The amount of time it takes for a grocery clerk to check out a customer is evenly distributed between 1 and 5 minutes.

Let X is a random variable shows the amount of time it takes for a grocery clerk to check out a customer.

a. What kind of distribution is this?

Here X has uniform distribution between 1 and 5 so pdf will be

b. What is the probability that it will take more than 4 minutes to check out the customer?

The probability that it will take more than 4 minutes to check out the customer is

c. What is the probability that it will take between 2 and 4 minutes?

d. What is the probability that it will take exactly 2 minutes?

Since it is continuous distribution so probability at a specific point will be zero.That is

P(X=2) = 0

The time it takes for customers at a Lawrence, Kansas store to
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Lawerence, Kansas store to check out
A) State the distribution of the random variable defined
above
B) Compute the probability that a randomly selected customer at
the Lawrence, Kansas store will wait less...

The amount of time that a customer spends waiting at an airport
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(b) Between 5 and 10 minutes
(c) Less than 6 minutes
Round your answers to four decimal places (e.g. 0.9876).

It is known that the time it takes for a caller to
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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
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A very busy and fancy restaurant records the wait time for each
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51
60
59
72
80
83
54
66
61
81
66 62
1.The manager wants to know the percentage of wait times that
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A very busy and fancy restaurant
records the wait time for each customer that comes in. Below are 12
customers’ wait times (in minutes):
51
60
59
72
80
83
54
66
61
81
66 62
1.The manager wants to know if there
is evidence that the true mean wait time is greater than 1 hour.
What are the null and alternative hypotheses to test the claim?
Will this be a one-sided or two-sided test?
2.Assuming that σ = 20...

Hi! Thanks for taking the time to check out my problem. If you
can please answer as many as possible and I really appreciate your
help.
Question 1 2 pts
The length of time a person takes to decide which shoes to
purchase is normally distributed with a mean of 8.21 minutes and a
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purchase. Is this outcome...

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
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The amount of time a bank teller spends with each customer has a
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a. If you select a random sample of
1616
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2.8
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. 7881.7881
(Round to four decimal places as needed.)b.
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(b) H0: μ < 2 H1: μ =
2
(c) H0: μ = 2 H1: μ >
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