Concept explainers
The Jimmy John’s store manager on Hwy. 46 wanted to know more about their customers. She decides to focus on two variables: the average ticket spent by customers, and whether customers would consider purchasing ice cream if it was available. She interviewed 54 customers over a two-week period. Results of her research showed average ticket was $10.89 with a standard deviation of $2.35. Twenty-two customers said they would purchase ice cream if it was available.
a. Construct a 95% confidence
b. Construct a 90% confidence interval estimate for the population proportion of customers who would consider purchasing ice cream.
Assume the store manager wants to conduct a similar survey at the National Road store. Answer the following questions:
c. What
d. How many customers need to be selected to have 90% confidence of estimating the population proportion who would consider purchasing ice cream plus/minus 0.10 (10%)?
Step by stepSolved in 2 steps with 6 images
- A pharmaceutical company wants to test a new cholesterol drug. The average cholesterol of the target population is 200 mg with a standard deviation of 25 mg. The pharmaceutical company would like to include people who fall into the upper 70% of the cholesterol measures in their test group. Above what cholesterol level will the test participants need to have? Select one: a. 187 mg O b. 79 mg C. 4987 mg O d. 213 mgarrow_forwardThe governor of a state wanted to assess the public education system of the state. She instructed a group of researchers to create a test to assess the knowledge of every high school senior in the state. The researchers administered the tests and found that the average score was 74 points out of 100, with a standard deviation of 20 points. Complete parts (a) through (c) below. a. Identify the population and variable. Choose the correct population below. A. The population is the group of all high school seniors in the state. O B. The population is the group of every state's governor. O C. The population is the group of all high school teachers in the state. O D. The population is the group of all high school students in the state. Choose the correct variable below. O A. The variable is the number of high school seniors. O B. The variable is the test length. YC. The variable is the test score. O D. The variable is the number of high school students. b. For samples of size 225, find the…arrow_forwardWhich of the following would be the most reasonable estimate for the weight of house cats? (The population would be all house cats in the U.S., and the variable would be each cat's weight.) A. Mean = 10 pounds, standard deviation = 0 pounds. B. Mean = 10 pounds, standard deviation = 2 pounds. C. Mean = 10 pounds, standard deviation = 10 pounds. D. Mean = 2 pounds, standard deviation = 10 pounds.arrow_forward
- The average McDonald's restaurant generates $3 million in sales each year with a standard deviation of 0.4. Russell wants to know if the average sales generated by McDonald's restaurants in Nebraska is different than the worldwide average. He surveys 26 restaurants in Nebraska and finds the following data (in millions of dollars):3.3, 3.2, 3.5, 3.3, 3.3, 3.4, 2.8, 3.5, 3.4, 2.5, 2.5, 3.6, 2.9, 2.9, 2.9, 3.5, 3.4, 2.7, 2.2, 2.5, 3.5, 3.6, 3.5, 3.7, 3.6, 2.8Perform a hypothesis test using a 10% level of significance.Step 1: State the null and alternative hypotheses.H0:(p or u)(<,> #)? Ha: p or u)(<,> #)? (So we will be performing a left or right or 2 tail test.)?Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are normal distributed or t distributed ? with distribution mean ? and distribution…arrow_forwardMr. Stant collected information on how much customers spend at Walmart and Target. He created the following histograms. Which of the statements must be true about the two data sets displayed? a The standard deviation of amounts spent at Walmart is less than the standard deviation of the amounts spent at Target. b The median amount spent at Walmart is equal to the median amount spent at Target. c The standard deviation of amounts spent at Walmart is more than the standard deviation of the amounts spent at Target. d The range of amounts spent at Walmart is equal to the range of amounts spent at Target. e The mean amount spent at Walmart is equal to the mean amount spent at Target.arrow_forwardThe average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…arrow_forward
- The question is attached in an image.arrow_forwardMario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?arrow_forwardThe average McDonald's restaurant generates $3.3 million in sales each year with a standard deviation of 0.8. Skyler wants to know if the average sales generated by McDonald's restaurants in North Carolina is different than the worldwide average. He surveys 25 restaurants in North Carolina and finds the following data (in millions of dollars): 2.3, 0.9, 2.2, 2.8, 3.1, 3.1, 2.3, 2.6, 2.7, 2.7, 3.1, 3.9, 4.1, 4, 4.5, 1.8, 4.3, 2.7, 3.9, 3.5, 3.2, 1.7, 3.5, 2.9, 2.1 Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Но: ? ? v Ha: ? v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v P(? v…arrow_forward
- The average McDonald's restaurant generates $2.6 million in sales each year with a standard deviation of 1. Tatiana wants to know if the average sales generated by McDonald's restaurants in Alaska is different than the worldwide average. She surveys 25 restaurants in Alaska and finds the following data (in millions of dollars):3.2, 1.8, 0.9, 3.2, 3.6, 1.7, 4.2, 2, 3.1, 3.9, 3, 2.9, 2.5, 3.5, 3, 3, 2.4, 5, 3.8, 0.9, 2.2, 2.4, 2.6, 2.8, 3.3Perform a hypothesis test using a 10% level of significance.Step 1: State the null and alternative hypotheses.H0: Ha: (So we will be performing a LEFT OR RIGHT OR 2 TAILS test.)? Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are NORMAL DISTRIITBUTE OR T DISTRIBUTED with distribution mean =? and distribution standard deviation =?arrow_forwardAssume you had the following information regarding three different tests you took: The MATH test mean was 70; the standard deviation was 2; your score is 66. The VERBAL test mean was 60; the standard deviation was 3; your score is 57. The SCIENCE test mean was 80; the standard deviation was 3; your score is 83. On which of the 3 tests did you have your worst performance, relative to other students? A. Math B. Verbal C. Sciencearrow_forwardThis looks like another problem. Read carefully. Sergio is doing a long hike and is carefully calculating his pack weight. An energy bar has mean weight 1.71 ounces and standard deviation 0.037. The weights of the bars are independent. A juice box has mean weight 7.1 ounces and standard deviation 0.25. The weights of the juice boxes are independent. If he takes 3 energy bars and 5 juice boxes, what will be the MEAN of the total weight in pounds from these items? Hint: If W is the weight in ounces, then W/16 is the weight in pounds.arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman