Question

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?**

A) Two sample z-test

B) Two sample t-test

C) One sample z-test

D) One sample t-test

**1B. What is the observed value of your test
statistic?**

A) 1.64

B) 2.00

C) 0.056

D) 1.96

**1C. What is the corresponding p-value?**

A) 0.05

B) 0.0456

C) 0.025

D) 0.0228

**1D) At 5% level of significance what is your
conclusion?**

A) Accept the null hypothesis

B) Reject the alternate hypothesis

C) Not reject the null hypothesis

D) Reject the null hypothesis

Answer #1

**C) One sample z-test**

This is the right tailed test .

The null and alternative hypothesis is

H_{0} :
= 3

H_{a} :
> 3

Test statistic = z

= ( - ) / / n

= (3.1 - 3) / 0.5 / 100

**Test statistic = 2.00**

**P-value = 0.0228**

P-value <

**D) Reject the null hypothesis**

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...

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

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 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.

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

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 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.

Reference text for questions 1a-1d:
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proportion of cards containing a prize (denote \pi ) is different
from 0.25, you obtain a random sample of 100 cards. Then, you find
the proportion of cards containing a prize in your sample (denote
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A grocery store manager is interested in testing the
claim that banana is the favorite fruit for more than 50% of the
adults. The manager conducted a survey on a random sample of 100
adults. The survey showed that 56 adults in the sample chose banana
as his/her favorite fruit. Assume the manager wants to use a 0.05
significance level to test the claim.
(a) What is the appropriate hypothesis test to use for this
analysis? Please identify and explain...

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

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