Question 1 For the following scenarios provide the following: • the null and alternative hypotheses • explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed, explain how you should interpret a decision that rejects the null hypothesis, and explain how you should interpret a decision that fails to reject the null hypothesis. a. A Don Anderson Poll reports that on average 70% of Jamaicans believe that electricity bills are too high. b. Sunshine Cooperation guarantees that the mean shelf life of cornflakes is at least 750 days. c. Consumer Affairs has advised that the standard deviation of the fuel economies of its Honda Civics for 2016 is no more than 10.7 miles per gallon. d. A meal supplement provider claims that the average difference in calories between two brands is 55.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Question 1
For the following scenarios provide the following:
• the null and alternative hypotheses
• explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed,
• explain how you should interpret a decision that rejects the null hypothesis, and
explain how you should interpret a decision that fails to reject the null hypothesis.
a. A Don Anderson Poll reports that on average 70% of Jamaicans believe that electricity
bills are too high.
b. Sunshine Cooperation guarantees that the mean shelf life of cornflakes is at least 750
days.
c. Consumer Affairs has advised that the standard deviation of the fuel economies of its
Honda Civics for 2016 is no more than 10.7 miles per gallon.
d. A meal supplement provider claims that the average difference in calories between two
brands is 55.
Question 2
The Medical Association of Trinidad and Tobago is interested in determining the impact of a new
drug on the cholesterol levels of women. Data was collected from 11 women diagnosed with high
cholesterol. The data below shows the cholesterol levels before and after the drug was
administered.
Cholesterol Levels in mg/dL
Before 227 289 257 28 303 275 262 290 244 233 179
After 134 240 230 186 265 242 242 281 240 212 215
a. Calculate a 95% confidence interval for the mean cholestoral level (i) before drug
and (ii) after drug.
b. Test the hypothesis that the average cholesterol levels before and after administering
the pill are equal for both mechanics are equal. Use the 1% level of significance.
Transcribed Image Text:Question 1 For the following scenarios provide the following: • the null and alternative hypotheses • explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed, • explain how you should interpret a decision that rejects the null hypothesis, and explain how you should interpret a decision that fails to reject the null hypothesis. a. A Don Anderson Poll reports that on average 70% of Jamaicans believe that electricity bills are too high. b. Sunshine Cooperation guarantees that the mean shelf life of cornflakes is at least 750 days. c. Consumer Affairs has advised that the standard deviation of the fuel economies of its Honda Civics for 2016 is no more than 10.7 miles per gallon. d. A meal supplement provider claims that the average difference in calories between two brands is 55. Question 2 The Medical Association of Trinidad and Tobago is interested in determining the impact of a new drug on the cholesterol levels of women. Data was collected from 11 women diagnosed with high cholesterol. The data below shows the cholesterol levels before and after the drug was administered. Cholesterol Levels in mg/dL Before 227 289 257 28 303 275 262 290 244 233 179 After 134 240 230 186 265 242 242 281 240 212 215 a. Calculate a 95% confidence interval for the mean cholestoral level (i) before drug and (ii) after drug. b. Test the hypothesis that the average cholesterol levels before and after administering the pill are equal for both mechanics are equal. Use the 1% level of significance.
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