Question

A reporter with the Saint Pete Times is working on a story about the main factors making restaurants in the St. Pete area different from each other. The variable he is considering is the average meal price per person. The reporter selects a sample of 5 restaurants serving Italian food, Seafood and Steaks. The reporter believes that average price meal per person in the St Pete area is about the same independently of the type of restaurant. The table below shows sample mean for collected data in dollars. The MSE value is 7. Allow for an error of 10% with 12 degrees of freedom.

Italian Seafood Steakhouse

Sample Mean 14 17 20

a What is the critical value for the given level of confidence?

b. What is the test statistic for means A & B ? (allow for a difference in values of + or - 0.01)

c. What is the test statistic for means A & C? (allow for a difference in values of + or - 0.01)

d. What is the test statistic for means B & C? (allow for a difference in values of + or - 0.01)

e. What is your decision (with respect to the null hypotheses) after performing the test for means A & B, A & C and B & C respectively?

f. What is your conclusion after performing these tests with regards to which is different and which is the same?

Answer #1

A reporter with the Saint Pete Times is working on a story about
the main factors making restaurants in the St. Pete area different
from each other. The variable he is considering is the average meal
price per person. The reporter selects a sample of 5 restaurants
serving Italian food, Seafood and Steaks. The reporter believes
that average price meal per person in the St Pete area is about the
same independently of the type of restaurant. The table below...

6) A reporter with the Saint Pete Times is working on a story
about the main factors making restaurants in the St. Pete area
different from each other. The variable he is considering is the
average meal price per person. The reporter selects a sample of 5
restaurants serving Italian food, Seafood and Steaks. The reporter
believes that average price meal per person in the St Pete area is
about the same independently of the type of restaurant. The table...

A reporter with the Saint Pete Times is working on a story about
the main factors making restaurants in the St. Pete area different
from each other. The variable he is considering is the average meal
price per person. The reporter selects a sample of 5 restaurants
serving Italian food, Seafood and Steaks. The reporter believes
that average price meal per person in the St Pete area is about the
same independently of the type of restaurant. The table below...

A reporter with the Saint Pete Times is working on a story about
the main factors making restaurants in the St. Pete area different
from each other. The variable he is considering is the average meal
price per person. The reporter selects a sample of 4 restaurants
serving Italian food, Seafood and Steaks. The reporter believes
that average price meal per person in the St Pete area is about the
same independently of the type of restaurant. The table below...

The Chart Listed Is The Only Info You Need
(Anderson et al. 2015) A sample of 8 seafood restaurants, 8
Italian restaurants and 8 Steakhouses is selected. The meal price
(the average amount paid per person for dinner and drinks, minus
the tip) is recorded for each restaurant. The data is provided in
the spreadsheet "GrandStand.xlsx", which is available in the Week6
folder.
Use level of significance 0.05 to test whether there is a
significant difference among the mean meal...

The Consumer Reports Restaurant Customer Satisfaction
Survey is based upon 148,599 visits to full-service restaurant
chains.† One of the variables in the study is meal price, the
average amount paid per person for dinner and drinks, minus the
tip. Suppose a reporter for a local newspaper thought that it would
be of interest to her readers to conduct a similar study for
restaurants located in her city. The reporter selected a sample of
8 seafood restaurants, 8 Italian restaurants, and...

1. A random sample of 860 births at St. Jude’s Hospital included
426 boys. The national proportion of newborn boy babies is 51.2%.
Use a 0.01 significance level to test the claim that the proportion
of newborn boy babies at this hospital is different than the
national average.
a. Draw a normal curve for the sampling distribution for samples
of size 860 births. Label the mean and the values for one, two and
three standard deviations above and below the...

A department store supervisor is concerned about customer
service. To check if this is an issue, the supervisor randomly
selected a sample of clerks from stores at three different
locations (A, B, C). Then the supervisor records the number of
returns associated with each clerk for a month. What can the
supervisor conclude with α = 0.01?
A
B
C
8
10
7
9
11
12
14
10
8
7
7
10
b) Obtain/compute the appropriate values to make a...

A random sample of 49 measurements from one population had a
sample mean of 16, with sample standard deviation 3. An independent
random sample of 64 measurements from a second population had a
sample mean of 18, with sample standard deviation 4. Test the claim
that the population means are different. Use level of significance
0.01.
(a) What distribution does the sample test statistic follow?
Explain.
The Student's t. We assume that both population
distributions are approximately normal with known...

Wait-Times: There are three registers at the
local grocery store. I suspect the mean wait-times for the
registers are different. The sample data is depicted below. The
second table displays results from an ANOVA test on this data with
software.
Wait-Times in Minutes
x
Register 1
2.0
2.0
1.1
2.0
1.0
2.0
1.0
1.3
1.55
Register 2
1.8
2.0
2.2
1.9
1.8
2.1
2.2
1.7
1.96
Register 3
2.1
2.1
1.8
1.5
1.4
1.4
2.0
1.7
1.75
ANOVA Results...

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