Week 7 Exam

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American Military University *

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120

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Mathematics

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Apr 3, 2024

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Confidence Intervals & Hypothesis Testing 100% View answer 1. What is the impact of changing from the 90% confidence interval to the 99% confidence interval? The range of values included increases. The range of values included decreases. The range of values included stays the same. It cannot be determined from the information provided. View answer 2. What does decreasing the standard deviation of the sample do to the confidence interval? The range of values included increases. The range of values included decreases. The range of values included stays the same. It cannot be determined from the information provided. View answer 3. What is the impact of decreasing the sample size? The range of values included increases. The range of values included decreases. The range of values included stays the same. It cannot be determined from the information provided. View answer 4. Which accurately describes widening the range of the confidence interval (by changing the confidence level)? The range is wider so there is more precision. The range is wider so there is less precision. The range is wider so the certainty is higher. The range is wider so the certainty is lower. View answer 5. A delivery company provides expected time of arrival. The company wants to provide an accurate suggestion with a 90% confidence level. If the sample size is 50, the sample average is 35 minutes, the standard deviation is 10 minutes, and the z-score is 1.65, what is the standard error of the mean? 1.16 1.41 2.33 3.73 View answer 6.

A delivery company provides expected time of arrival. The company wants to provide an accurate suggestion with a 90% confidence level. If the sample size is 50, the sample average is 35 minutes, the standard deviation is 10 minutes, and the z-score is 1.65, what is the margin of error? 1.16 1.41 2.33 3.73 View answer 7. A delivery company provides expected time of arrival. The company wants to provide an accurate suggestion with a 90% confidence level. If the sample size is 50, the sample average is 35 minutes, the standard deviation is 10 minutes, and the z-score is 1.65, what is the confidence interval? (31.75, 37.82) (32.67, 37.33) (33.35, 36.65) (33.59, 36.41) View answer 8. A pharmaceutical company is launching a new medication intended to treat epilepsy. Which of the following would make sense as a null hypothesis when testing the efficacy of the drug? H 0 : The drug may be an effective treatment against epilepsy. H 0 : The drug may not be an effective treatment against epilepsy. H 0 : The drug is an effective treatment for epilepsy. H 0 : The drug is not an effective treatment for epilepsy. View answer 9. A pharmaceutical company is launching a new medication intended to treat epilepsy. The company performs a study that maintains the null hypothesis. What is the finding of the company? The evidence suggests that the drug is an effective treatment against epilepsy. The evidence suggests that the drug is not an effective treatment against epilepsy. View answer 10.

A supplier of parts to the automobile industry is launching a new brake pad intended to wear down more slowly while delivering the same performance. The company performs a study that incorrectly rejects the null hypothesis. What type of error is this? Type 1: The supplier rejected the null when it should not have. Type 2: The supplier rejected the null when it should not have. Type 1: The supplier maintained the null when it should have rejected it. Type 2: The supplier maintained the null when it should have rejected it. View answer 11. A supplier of parts to the automobile industry is launching a new brake pad intended to wear down more slowly while delivering the same performance. The company performs a study that incorrectly maintains the null hypothesis. What type of error is this? Type 1: The supplier rejected the null when it should not have. Type 2: The supplier rejected the null when it should not have. Type 1: The supplier maintained the null when it should have rejected it. Type 2: The supplier maintained the null when it should have rejected it. View answer 12. When assessing the significance of a study, we're asking: What is the likelihood that we incorrectly reject the null? What is the likelihood that we correctly reject the null? What is the likelihood that we incorrectly maintain the null? What is the likelihood that we correctly maintain the null? Explanation: A Type 1 error is indicated by alpha ( ) and indicates a false positive, meaning that the null hypothesis is true but we incorrectly reject it. Therefore, the significance of a study tells us the likelihood that we incorrectly reject the null.

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Week 7 Exam

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