Question

The manager of a grocery store has taken a random sample of 100
customers. The average length of time it took the customers in the
sample to check out was 3.1 minutes. The population standard
deviation is known at 0.5 minutes. We want to test to determine
whether or not the mean waiting time of all customers is
significantly different than 3 minutes. Use α = 0.05.

14. The test statistic is

a. 1.96

b. 1.64

c. 2.00

d. 0.056

15. The p-value is

a. 0.0456

b. 0.0482

c. 0.4772

d. 0.9759

e. 0.9772

16. At the 5% level, you

a. fail to reject the null hypothesis

b. reject the null hypothesis

17. Compute the probability of a Type II Error when µ = 2.8.

a. 0.0000

b. 0.0207

c. 0.4793

d. 0.9793

Answer #1

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The manager of a grocery store has taken a random sample of 100
customers to determine whether or not the mean waiting time of all
customers is significantly more than 3 minutes. She observes that
the average length of time it took the customers in the sample to
check out was 3.1 minutes. The population standard deviation is
known to be 0.5 minutes.
USE INFORMATION TO ANSWER THE FOLLOWING:
1A. What is the appropriate test to use for this
problem?...

The manager of a grocery store has taken a random sample of 100
customers. The average length of time it took the customers in the
sample to check out was 3.1 minutes. The population standard
deviation is known to be 0.5 minute. We want to test to determine
whether or not the mean waiting time of all customers is
significantly more than 3 minutes.
The test statistic is _____.
a. 1.64
b. 2.00
c. 1.96
d. .056

The manager of a grocery store has taken a random sample of 100
customers. The average length of time it took the customers in the
sample to check out was 4.9 minutes with a sample standard
deviation of 0.5 minutes. Conduct a test to determine whether or
not the mean waiting time of all customers is significantly more
than 5 minutes.
Use a significance level of α = 0.01.

46.FOR NEXT 3 QUESTIONS USE THE FOLLOWING DIRECTION:
Manager of a grocery store wants to test to determine whether
the mean waiting time of its customers is significantly more than 4
minutes. He takes a random sample of 36 customers and finds that
the average length of time it took the customers in the sample to
check out was 4.6 minutes. A national study estimates that standard
deviation of length of time of grocery store customers is 1.8
minutes.
47....

The manager of a grocery store has taken a random sample of 4
customers. The average length of time it took the customers in the
sample to check out was 6 minutes. The population standard
deviation is known to be 0.1 minutes. We want to test to determine
whether or not the mean waiting time of all customers is
significantly more than 7 minutes. Use a significance level of
(alpha = 0.01). Please show work.

2. The manager of a grocery store has taken a random sample of
100 customers. The average length of time it took the customers in
the sample to check out was 3.1 minutes. The population mean is 3.5
minutes and the population standard deviation is known to be 0.5
minutes. We would like to know if there is evidence of a change in
average check out time. Explain in the context of this question
what a type 1 error would...

The manager of a grocery store has taken a random sample of 196
customers. The average length of time it took these 196 customers
to check out was 3 minutes. It is known that the standard deviation
of the population of checkout times is 1 minute. The margin of
error is 0.140. Find the 95% confidence interval for the true
average checkout time (in minutes).A. 1 to 5B. 2.86 to 3.14 C. 2.883 to 3.117D. 2.990 to 3.010

A bank calculated the waiting time (to be served) for a random
sample of 18 customers one day. The mean waiting time for the
sample was 3.1 minutes and the standard deviation of the waiting
times was 1.3 minutes. The bank is aiming for wait times less than
4 minutes. For the test with hypotheses H0:μ= 4 vs Ha:μ <4, the
P-value is 0.0046.19.
Part 1: Circle Yes or No if this hypothesis
test is significant at the following levels:...

You randomly sample 100 Publix customers. On average, it took
these customers 3 minutes to check out. It is known that the
standard deviation of the checkout time is one minute.
The sample mean will provide a margin of error of ____ if you
use an alpha of .05.
a .196
b 0.10
c 1.96
d 2.08

The manager of a supermarket would like the variance of the
waiting times of the customers not to exceed 3.7 minutes-squared.
She would add a new cash register if the variance exceeds this
threshold. She regularly checks the waiting times of the customers
to ensure that the variance does not rise above the allowed level.
In a recent random sample of 35 customer waiting times, she
computes the sample variance as 5.8 minutes-squared. She believes
that the waiting times are...

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