MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Name Worksheet #12 – Hypothesis Testing continued (10.2-10.4) To complete this worksheet, you will need to refer to both the normal (z) chart and Student's t chart, found at the end of the class notes for sections 10.2 and 10.3 respectively. 1. Past data suggests that the average wait time at the drive-through at a certain fast food restaurant is 94 seconds, with a standard deviation of 21 seconds. The manager devises a new system that he thinks will improve the wait time. He times the next 25 cars and finds that the average of this sample is 89 seconds. a) Is there enough reason to believe that the new system has succeeded in lowering the wait time, to a 5% level of significance? b) Spoiler alert: the answer to (a) is “no." In other words, we fail to reject the null hypothesis. But does this prove definitively that the manager's new system doesn't work? Explain briefly. c) If the manager still has confidence in his new system, what should he do to prove its effectiveness? 2. A pharmaceutical company claims that their pill relieves heartburn in over 90% of the people who take it. In clinical trials, the pill relieved the heartburn of 213 out of the 224 patients who tried it. Test the company's claim that over 90% of people felt relief, to a 1% level of significance.
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Transcribed Image Text:Name Worksheet #12 – Hypothesis Testing continued (10.2-10.4) To complete this worksheet, you will need to refer to both the normal (z) chart and Student's t chart, found at the end of the class notes for sections 10.2 and 10.3 respectively. 1. Past data suggests that the average wait time at the drive-through at a certain fast food restaurant is 94 seconds, with a standard deviation of 21 seconds. The manager devises a new system that he thinks will improve the wait time. He times the next 25 cars and finds that the average of this sample is 89 seconds. a) Is there enough reason to believe that the new system has succeeded in lowering the wait time, to a 5% level of significance? b) Spoiler alert: the answer to (a) is “no." In other words, we fail to reject the null hypothesis. But does this prove definitively that the manager's new system doesn't work? Explain briefly. c) If the manager still has confidence in his new system, what should he do to prove its effectiveness? 2. A pharmaceutical company claims that their pill relieves heartburn in over 90% of the people who take it. In clinical trials, the pill relieved the heartburn of 213 out of the 224 patients who tried it. Test the company's claim that over 90% of people felt relief, to a 1% level of significance.
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