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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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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