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.
  1. At the 0.05 level of significance, is there evidence that the population mean purchase was different from 10 gallons?
  2. 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?
  3. What is your answer to (a) if the sample mean equals 11.3 gallons?
  4. What is your answer to (c) if 7 motorists purchased premium gasoline?

Solutions

Expert Solution


Related 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...
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. 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 manager at the service station disagrees with the owner and claims 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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT