Question
In: Statistics and Probability
3. The owner of a gasoline station wants to study gasoline purchasing habits by motorists at...
3. The owner of a gasoline station wants to study gasoline purchasing habits by motorists at his station. He selects a random sample of 55 motorists during a certain week, with the following results:
- The amount purchased was XBar = 11.0 gallons, S = 3.3 gallons.
- 15 motorists purchased premium-grade gasoline.
- At the 0.05 level of significance, is there evidence that the population mean purchase was different from 10 gallons?
- At the 0.1O level of significance, is there evidence that fewer than 25% of all the motorists at the station purchased premium-grade gasoline?
- What is your answer to (a) if the sample mean equals 11.3 gallons?
- What is your answer to (c) if 7 motorists purchased premium gasoline?
Solutions
orchestra answered 1 year agoRelated Solutions
The owner of a gas station wants to study gasoline purchasing habits of motorists at this...
The owner of a gas station wants to study gasoline purchasing
habits of motorists at this station. He selects a random sample of
60 motorists during a certain week, with the following results: The
amount of gas purchased was; mean = 11.3 gallons, standard
deviation = 3.1 gallons; Eleven motorists purchased premium-grade
gasoline (4 points)
At the 0.05 significance level, is there evidence that the
population mean purchase was different from 10 gallons? (1
point)
Determine the p-value in part...
The owner of a gas station wants to study gasoline purchasing habits of motorists at this...
The owner of a gas station wants to study gasoline purchasing
habits of motorists at this station. He selects a random sample of
60 motorists during a certain week, with the following results: The
amount of gas purchased was; mean = 11.3 gallons, standard
deviation = 3.1 gallons; Eleven motorists purchased premium-grade
gasoline (4 points)
At the 0.05 significance level, is there evidence that the
population mean purchase was different from 10 gallons? (1
point)
Determine the p-value in part...
The owner of a petrol station wants to study fuel-purchasing habits of motorists at his station....
The owner of a petrol station wants to
study fuel-purchasing habits of motorists at his station. A random
sample of 60 motorists during a particular week gave the following
results:
Amount purchased: X= 42.8 litres, S =10.3 litres.
9 motorists purchased diesel.
(a) Set up a 95% confidence interval estimate for the proportion
of motorists who buy diesel. Write a sentence to explain the
meaning of your answer.
Confidence interval:
Explanation:
(b) Set up a 95% confidence interval estimate for...
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The owner of a specialty coffee shop wants to study coffee
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available in the worksheet labeled “Problem 2”
in the spreadsheet.
1. Construct a 90% confidence interval on the proportion of
customers who say they “definitely will”
recommend the specialty coffee shop to family and friends.
Problem 2 Data Set
Note: Y is an indicator variable, i.e., if Y=1,...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at...
The owner of a specialty coffee shop wants to study coffee
purchasing habits of customers at her shop. She selects a random
sample of 60 customers during a certain week. Data are available in
the worksheet labeled “Problem 2” in the spreadsheet
Final_SU2020_Data_Sets.xlsx. 1. At the ? = 0.1 level of
significance, is there evidence that more than 50% of the customers
say they “definitely will” recommend the specialty coffee shop to
family and friends? 2. Construct a 90% confidence...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at...
The owner of a specialty coffee shop wants to study coffee
purchasing habits of customers at her shop. She selects a random
sample of 60 customers during a certain week. Data are available in
the worksheet labeled “Problem 2”.
1. At the a = 0.1 level of significance, is there evidence that
more than 50% of the customers say they “definitely will” recommend
the specialty coffee shop to family and friends?
2. Construct a 90% confidence interval on the proportion...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at...
The owner of a specialty coffee shop wants to study coffee
purchasing habits of customers at her shop. She selects a random
sample of 60 customers during a certain week, with the following
results:
• The amount spent was X = +7.25, S = +1.75.
• Thirty-one customers say they “definitely will” recommend
the specialty coffee shop to family and friends.
a. At the 0.05 level of significance, is there evidence that
the population
mean amount spent was different from...
4. The owner of specialty coffee shop wants to study coffee purchasing habits of customers at...
4. The owner of specialty coffee shop wants to study coffee
purchasing habits of customers at her shop. She selects a random
sample of 60 customers during certain week, with the following
results:
The amount spent was ? = $7.25, S = $1.75
Thirty-one customers say they definitely will” recommend the
specialty coffee shop to family friends.
a. At the 0.05 level of significance, is there evidence that the
population mean amount spent was different from $6.50? (IS THIS
RIGHT?)...
4. The owner of specialty coffee shop wants to study coffee purchasing habits of customers at...
4. The owner of specialty coffee shop wants to study coffee
purchasing habits of customers at her shop. She selects a random
sample of 60 customers during certain week, with the following
results:
The amount spent was ? = $7.25, S = $1.75
Thirty-one customers say they definitely will” recommend the
specialty coffee shop to family friends.
a. At the 0.05 level of significance, is there evidence that the
population mean amount spent was different from $6.50?
b. Determine the...
A service station owner believes that an equal number of customers prefer to buy gasoline on...
A service station owner believes that an equal number of
customers prefer to buy gasoline on every day of the week. A
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that the number of customers who prefer to buy gasoline on each day
of the week varies. Test the manager’s claim using alpha = 0.10.
The owner surveyed 739 customers over a period of time to record
each customer’s preferred day of the week. Here is what...
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