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especially wne they study. officer is concerned about this situation since the amount of caffeine in coffee may cause long-term health problems. But experts say that there is no health risk in drinking three 8-oz cups of regular coffee per day, which contains about 250 mg of caffeine. The officer wants to know if the amount of caffeine consumed by the students is within tolerable limits. He randomly selected 20 students and found that they consume an average of 270 mg of caffeine each day with a standard deviation of 48 mg. Assume that the daily amount of caffeine consumed by students follow the normal distribution. a. Which of the following sets of hypotheses should be used in this study? Α. Ho: μ-250 vs. Ha: μ> 250 C. Ho: µ = 270 vs. Ha: µ > 270 B. Ho: μ 50 vs. Ha: μ > 250 D. Ho: μ- 270 vs . Ha: μ# 270 b. Which of the following is(are) TRUE? 1. The appropriate test procedure to answer the objective of the study is a one-tailed t-test on one population mean. II. The decision rule to be used at a=5% is: “Reject Ho of to > tab = 1.729, otherwise fail to reject Ho." A. I only B. Il only C. Both I and II D. Neither I nor II c. If the p-value of the appropriate test procedure is equal to 0.0342, which of the following is(are) valid conclusion(s) of the test at a=5%? 1. The mean amount of caffeine consumed by the students daily is less than or equal to 250 mg. II. The health of students may be at risk due to drinking coffee. A. I only B. Il only C. Both I and II D. Neither I nor II

especially wne they study. officer is concerned about this situation since the amount of caffeine in coffee may cause long-term health problems. But experts say that there is no health risk in drinking three 8-oz cups of regular coffee per day, which contains about 250 mg of caffeine. The officer wants to know if the amount of caffeine consumed by the students is within tolerable limits. He randomly selected 20 students and found that they consume an average of 270 mg of caffeine each day with a standard deviation of 48 mg. Assume that the daily amount of caffeine consumed by students follow the normal distribution. a. Which of the following sets of hypotheses should be used in this study? Α. Ho: μ-250 vs. Ha: μ> 250 C. Ho: µ = 270 vs. Ha: µ > 270 B. Ho: μ 50 vs. Ha: μ > 250 D. Ho: μ- 270 vs . Ha: μ# 270 b. Which of the following is(are) TRUE? 1. The appropriate test procedure to answer the objective of the study is a one-tailed t-test on one population mean. II. The decision rule to be used at a=5% is: “Reject Ho of to > tab = 1.729, otherwise fail to reject Ho." A. I only B. Il only C. Both I and II D. Neither I nor II c. If the p-value of the appropriate test procedure is equal to 0.0342, which of the following is(are) valid conclusion(s) of the test at a=5%? 1. The mean amount of caffeine consumed by the students daily is less than or equal to 250 mg. II. The health of students may be at risk due to drinking coffee. A. I only B. Il only C. Both I and II D. Neither I nor II

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Answer the following components. Show solutions and brief explanation.

Given: Students in a certain university like to drink coffee especially when they study. A health officer is concerned about this situation since the amount of caffeine in coffee may cause long-term health problems. But experts say that there is no health risk in drinking three 8-oz cups of regular coffee per day, which contains about 250 mg of caffeine. The officer wants to know if the amount of caffeine consumed by the students is within tolerable limits. He randomly selected 20 students and found that they consume an average of 270 mg of caffeine each day with a standard deviation of 48 mg. Assume that the daily amount of caffeine consumed by students follow the normal distribution. a. Which of the following sets of hypotheses should be used in this study? Α. Ho: μ- 250 vs. Ha: μ > 250 C. Ho: μ- 270 vs. Ha: μ> 270 B. Ho: μ<250 vs. Ha: μ> 250 D. Ho: µ = 270 vs. Ha: µ # 270 b. Which of the following is(are) TRUE? 1. The appropriate test procedure to answer the objective of the study is a one-tailed t-test on one population mean. II. The decision rule to be used at a=5% is: “Reject Ho of to > tab = 1.729, otherwise fail to reject Ho." A. I only B. Il only C. Both I and II D. Neither I nor II c. If the p-value of the appropriate test procedure is equal to 0.0342, which of the following is(are) valid conclusion(s) of the test at a=5%? I. The mean amount of caffeine consumed by the students daily is less than or equal to 250 mg. II. The health of students may be at risk due to drinking coffee. A. I only B. Il only C. Both I and II D. Neither I nor II
Transcribed Image Text:Given: Students in a certain university like to drink coffee especially when they study. A health officer is concerned about this situation since the amount of caffeine in coffee may cause long-term health problems. But experts say that there is no health risk in drinking three 8-oz cups of regular coffee per day, which contains about 250 mg of caffeine. The officer wants to know if the amount of caffeine consumed by the students is within tolerable limits. He randomly selected 20 students and found that they consume an average of 270 mg of caffeine each day with a standard deviation of 48 mg. Assume that the daily amount of caffeine consumed by students follow the normal distribution. a. Which of the following sets of hypotheses should be used in this study? Α. Ho: μ- 250 vs. Ha: μ > 250 C. Ho: μ- 270 vs. Ha: μ> 270 B. Ho: μ<250 vs. Ha: μ> 250 D. Ho: µ = 270 vs. Ha: µ # 270 b. Which of the following is(are) TRUE? 1. The appropriate test procedure to answer the objective of the study is a one-tailed t-test on one population mean. II. The decision rule to be used at a=5% is: “Reject Ho of to > tab = 1.729, otherwise fail to reject Ho." A. I only B. Il only C. Both I and II D. Neither I nor II c. If the p-value of the appropriate test procedure is equal to 0.0342, which of the following is(are) valid conclusion(s) of the test at a=5%? I. The mean amount of caffeine consumed by the students daily is less than or equal to 250 mg. II. The health of students may be at risk due to drinking coffee. A. I only B. Il only C. Both I and II D. Neither I nor II
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