1.) Automobile manufacturers are interested in the difference in reaction times for drivers reacting to traditional incandescent lights and to LED lights. A sample of 19 drivers are told to press a button as soon as they see a light flash in front of them and the reaction time was measured in milliseconds. Each driver was shown each type of light. A 90% confidence interval for the average difference between the two reaction times (traditional - LED) was (-306.28, -50.17). Which of the following is the appropriate conclusion?
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2.) A pharmaceutical company is testing a new drug to increase memorization ability. It takes a sample of individuals and splits them randomly into two groups. After the drug regimen is completed, all members of the study are given a test for memorization ability with higher scores representing a better ability to memorize. Those 23 participants on the drug had an average test score of 15.434 (SD = 3.476), while those 23 participants not on the drug had an average score of 40.286 (SD = 6.141). You use this information to create a 95% confidence interval for the difference in average test score of (-27.816, -21.888). Which of the following is the best interpretation of this interval?
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Answer - 1: We are 90% confident that the average difference in reaction times for all drivers is negative, with the higher reaction time being with LED lighting.
Option 5 is correct.
Answer - 2: We are 95% confident that the difference between the average test score of all people who would take drug and all people not taking the drug is between -27.816 and -21.888.
Option 4 is correct.
1.) Automobile manufacturers are interested in the difference in reaction times for drivers reacting to traditional...
Automobile manufacturers are interested in the difference in reaction times for drivers reacting to traditional incandescent lights and to LED lights. A sample of 18 drivers are told to press a button as soon as they see a light flash in front of them and the reaction time was measured in milliseconds. Each driver was shown each type of light. The average difference in reaction times (traditional - LED) is -1.3 ms with a standard deviation of 5.83 ms. A...
Automobile manufacturers are interested in the difference in reaction times for drivers reacting to traditional incandescent lights and to LED lights. A sample of 7 drivers are told to press a button as soon as they see a light flash in front of them and the reaction time was measured in milliseconds. Each driver was shown each type of light. The average difference between the two reaction times (traditional - LED) was 66.893 ms with a standard deviation of 32.1985...
Part A: Suppose you work for a pharmaceutical company that is testing a new drug to treat ulcerative colitis. You conduct a random sample of 34 patients on the new drug and 14 of them indicated a decrease in symptoms since starting the drug regimen. You construct a 90% confidence interval for this proportion to be ( 0.2733 , 0.5502 ). What is the correct interpretation of this confidence interval? 1) We are certain that 90% of patients will be...
A local pizza place claims that they average a delivery time of 10.14 minutes. To test this claim, you order 13 pizzas over the next month at random times on random days of the week. You calculate that the average delivery time is 8.59 minutes with a standard deviation of 1.721 minutes. You create a 99% confidence interval of (7.13, 10.05). Of those listed below, what is the best conclusion you can make? Question 7 options: 1) The percentage of...
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1. A researcher wanted to determine the extent to which Tylenol PM influenced people’s reaction times. He had 10 participants complete a reaction time measure (higher scores mean slower responses) before taking Tylenol PM and then again one hour after they had taken the drug. Was there a significantly difference in their reaction time? Pre Test Post Test 100 125 78 85 89 90 110 150 80 90 95 99 87 87 100 150 75 80 88 100 Perform an...
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In the following situation we want to compare the mean responses in several populations. Are you a morning person, an evening person, or neither? Does this personality trait affect how well you perform? A sample of 93 students took a psychological test that found 11 morning people, 28 evening people, and 54 who were neither. All the students then took a test of their ability to memorize at 8 a.m. and again at 9 p.m. You analyze the score at...
A new drug to treat high cholesterol is being tested by pharmaceutical company. The cholesterol levels for 18 patients were recorded before administering the drug and after. The mean difference in total cholesterol levels (after - before) was -8.603 mg/dL with a standard deviation of 5.449 mg/dL. When creating a 90% confidence interval for the true average difference in cholesterol levels by the drug, what is the margin of error? 1) 1.7087 2) 2.2271 3) 2.2342 4) 1.2843 5) 2.1127...