The manager of a Kroger grocery store claims a membership card will save consumers more than $15 per week on average. To check this claim, a random sample of 12 shoppers with membership cards was obtained and their weekly grocery bills were inspected. Suppose the sample mean was $16.35 and the sample standard deviation was $3.20. Assume the distribution of savings is normal. a. Check the necessary assumptions and conditions for doing this test. b. What are the appropriate hypotheses to test the claim? c. Calculate the appropriate test statistic and p-value. d. What is the conclusion?

The manager of a Kroger grocery store claims a membership card will save consumers more than $15 per week on average. To check this claim, a random sample of 12 shoppers with membership cards was obtained and their weekly grocery bills were inspected. Suppose the sample mean was $16.35 and the sample standard deviation was $3.20. Assume the distribution of savings is normal. a. Check the necessary assumptions and conditions for doing this test. b. What are the appropriate hypotheses to test the claim? c. Calculate the appropriate test statistic and p-value. d. What is the conclusion?

Name: The manager of a Kroger grocery store claims a membership card will s
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The manager of a Kroger grocery store claims a membership card will save consumers morethan $15 per week on average. To check this claim, a random sample of 12 shoppers withmembership cards was obtained and their weekly grocery bills were inspected.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Airline Fares. The mean airfare for flights departing from Buffalo Niagara International Airport during the first three months of 2017 was $320.51. Assume the standard deviation for this population of fares is known to be $80. Suppose a random sample of 60 flights departing from Buffalo Niagara International Airport during the first three months of 2018 is taken. If the mean and standard deviation of the population of airfares for flights departing from Buffalo Niagara International Airport didn’t changed between the first three months of 2017 and the first three months of 2018, what is the probability the sample mean will be within $20 of the population mean cost per flight? What is the probability the sample mean will be within $10 of the population mean cost per flight?
2. The mean of a statistics examination is 77.0. a. If your score is 85, would you prefer the standard deviation to be large or small for purposes of getting a better grade? Why? b. If your score is 69, would you prefer the standard deviation to be large or small? Why?
The First Chicago Bank is reviewing its service charges and interest-paying policies on checking accounts. The daily balance of a checking account is defined to be the balance in the checking account at 2:00pm. The bank has found that for all personal checking accounts the mean of all the daily balances is $ 800 and the standard deviation is $175. In addition, the distribution of personal checking account daily balances can be approximated very well with a normal model. Question 1. What percentage of the bank's customers carry daily balances between $700 and $1,000? % (Use 2 decimal places in your answer. Note that the answer is requested as a PERCENT, that is, a value between 0 and 100) Example, if you got 0.1234, you should enter it as 12.34 Question 2.The bank is considering paying interest to customers carrying daily checking account balances in excess of a certain amount. If the bank does not want to pay interest to more than 4% of its checking account customers, what is the…
Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a three-bedroom house using gas or electric energy had a mean of $117 and a standard deviation of $13. If the distribution can be considered normal: Approximately what percentage of homes will have a monthly utility bill less than $78? Note: Do NOT include the "%" sign Do NOT round any decimals, if applicable
Suppose the durations of human pregnancies follow a mound-shaped distribution with a mean of 266 days and a standard deviation of 18 days. a. Approximately what percentage of human pregnancies last between 248 and 284 days? b. Between what two values will the durations of 95% of all human pregnancies fall? Answer in days
It is known that incomes from the USA follow a normal distribution with a mean of $55,000 and a standard deviation of $12,000. A researcher took a sample of 100 people in the USA and obtained a sample mean of $67,000 with a standard deviation of $18,000. What are the characteristics of the sampling distribution. A. Mean = $55,000 and Standard Deviation of the Mean = $1200 B. Mean = $55,000 and Standard Deviation of the Mean = $12000 C. Mean = $67,000 and Standard Deviation of the Mean = $569.21 D. Mean = $67,000 and Standard Deviation of the Mean = $1800
The college physical education department offered an advanced first aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z-scores for some of the students are shown below. Robert 1.05 Juan 1.51 Haley −1.95 Joel 0.00 Jan −0.67 Linda 1.57 (a) If the mean score was ? = 151 with standard deviation ? = 16, what was the final exam score for each student?
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
MC Qu. 10-64 Sales at a fast-food restaurant average... Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to Increase daily sales. In order to determine the effectiveness of the advertising campaign, a sample of 49 day's sales were taken. The sample showed average daily sales of $6,300. From past history, the restaurant knew that its population standard deviation is about $1,000. If the level of significance is 0.01, have sales increased as a result of the advertising campaign? Multiple Choice Fail to reject the null hypothesis. Reject the null hypothesis and conclude the mean is higher than $6,000 per day. Reject the null hypothesis and conclude the mean is lower than $6,000 per day. Reject the null hypothesis and conclude that mean equal to $6,000 per day.