1. Briefly answer the following questions. (a) Suppose that a commonly-used sleeping pill makes 70% people sleep 7 hours or more. A new drug is introduced and claims to be more effective than the popularly used one. Formulate the null hypothesis and alternative hypothesis. What are the type I and type II errors in this context? (b) A manufacturer of 40-amp fuses wants to make sure the mean amperage at which its fuses burn out is in fact 40. What null and alternative hypotheses might be of interest to the manufacturer? Describe type I and type II errors in the context of this problem? (c) True or False (i) P-values are the chance that null hypothesis is true (ii) When P-value is 0.005, the null hypothesis looks plausible. (iii) When P-value is 10%, the null hypothesis is typically not rejected.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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1. Briefly answer the following questions.
(a) Suppose that a commonly-used sleeping pill makes 70% people sleep 7 hours or more.
A new drug is introduced and claims to be more effective than the popularly used one.
Formulate the null hypothesis and alternative hypothesis. What are the type I and type
II errors in this context?
(b) A manufacturer of 40-amp fuses wants to make sure the mean amperage at which its
fuses burn out is in fact 40. What null and alternative hypotheses might be of interest
to the manufacturer? Describe type I and type II errors in the context of this problem?
(c) True or False
(i) P-values are the chance that null hypothesis is true
(ii) When P-value is 0.005, the null hypothesis looks plausible.
(iii) When P-value is 10%, the null hypothesis is typically not rejected.
Transcribed Image Text:1. Briefly answer the following questions. (a) Suppose that a commonly-used sleeping pill makes 70% people sleep 7 hours or more. A new drug is introduced and claims to be more effective than the popularly used one. Formulate the null hypothesis and alternative hypothesis. What are the type I and type II errors in this context? (b) A manufacturer of 40-amp fuses wants to make sure the mean amperage at which its fuses burn out is in fact 40. What null and alternative hypotheses might be of interest to the manufacturer? Describe type I and type II errors in the context of this problem? (c) True or False (i) P-values are the chance that null hypothesis is true (ii) When P-value is 0.005, the null hypothesis looks plausible. (iii) When P-value is 10%, the null hypothesis is typically not rejected.
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