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MATH 1342 - Practice With The One Sample T-Test Videos 40-45, 47 After having watched videos 40-45 and especially the example calculations done in Videos 43,44 and 45, repeat these steps on the following case study. You'll also need notes from Video 47. Firefly Case Study: Each species of firefly has a unique flashing pattern. One species that is common to the local region has a pattern that consists of one short pulse of light followed by a resting period of four seconds. A less common species of firefly is being studied in this problem. We want to investigate whether this less common species also has a resting period of four seconds or if this lesser known species' resting period differs from this value. The following data were obtained on the resting times of fireflies from this lesser studied species. 3.9 3.8 3.5 3.2 3.6 4.1 3.5 3.8 4.2 4.0 3.6 3.7 3.7 3.4 4.0 4.3 Do the data support the claim that the mean resting time of the lesser known species differs from four seconds? Conduct both a hypothesis test and calculate a confidence interval to answer this question. But before you begin all the steps also consider the following: By your notes from Video 47: Write out what it would mean to make a Type I error in this case. Think of one consequence of making a Type I error. Do the same for a Type II error. Based on your assessment of these errors, how would you advise setting the significance level for this hypothesis test?

MATH 1342 - Practice With The One Sample T-Test Videos 40-45, 47 After having watched videos 40-45 and especially the example calculations done in Videos 43,44 and 45, repeat these steps on the following case study. You'll also need notes from Video 47. Firefly Case Study: Each species of firefly has a unique flashing pattern. One species that is common to the local region has a pattern that consists of one short pulse of light followed by a resting period of four seconds. A less common species of firefly is being studied in this problem. We want to investigate whether this less common species also has a resting period of four seconds or if this lesser known species' resting period differs from this value. The following data were obtained on the resting times of fireflies from this lesser studied species. 3.9 3.8 3.5 3.2 3.6 4.1 3.5 3.8 4.2 4.0 3.6 3.7 3.7 3.4 4.0 4.3 Do the data support the claim that the mean resting time of the lesser known species differs from four seconds? Conduct both a hypothesis test and calculate a confidence interval to answer this question. But before you begin all the steps also consider the following: By your notes from Video 47: Write out what it would mean to make a Type I error in this case. Think of one consequence of making a Type I error. Do the same for a Type II error. Based on your assessment of these errors, how would you advise setting the significance level for this hypothesis test?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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MATH 1342 After having watched videos 40-45 and especially the example calculations done in Videos 43,44 and 45, repeat these steps on the following case study. You'll also need notes from Video 47. Practice With The One Sample T-Test Videos 40-45, 47 Firefly Case Study: Each species of firefly has a unique flashing pattern. One species that is common to the local region has a pattern that consists of one short pulse of light followed by a resting period of four seconds. A less common species of firefly is being studied in this problem. We want to investigate whether this less common species also has a resting period of four seconds or if this lesser known species' resting period differs from this value. The following data were obtained on the resting times of fireflies from this lesser studied species. 3.5 3.2 3.6 3.8 3.9 3.8 4.2 4.0 3.6 4.1 3.5 3.7 3.7 3.4 4.0 4.3 Do the data support the claim that the mean resting time of the lesser known species differs from four seconds? Conduct both a hypothesis test and calculate a confidence interval to answer this question. But before you begin all the steps also consider the following: By your notes from Video 47: Write out what it would mean to make a Type I error in this case. Think of one consequence of making a Type I error. Do the same for a Type II error. Based on your assessment of these errors, how would you advise setting the significance level for this hypothesis test?
Transcribed Image Text:MATH 1342 After having watched videos 40-45 and especially the example calculations done in Videos 43,44 and 45, repeat these steps on the following case study. You'll also need notes from Video 47. Practice With The One Sample T-Test Videos 40-45, 47 Firefly Case Study: Each species of firefly has a unique flashing pattern. One species that is common to the local region has a pattern that consists of one short pulse of light followed by a resting period of four seconds. A less common species of firefly is being studied in this problem. We want to investigate whether this less common species also has a resting period of four seconds or if this lesser known species' resting period differs from this value. The following data were obtained on the resting times of fireflies from this lesser studied species. 3.5 3.2 3.6 3.8 3.9 3.8 4.2 4.0 3.6 4.1 3.5 3.7 3.7 3.4 4.0 4.3 Do the data support the claim that the mean resting time of the lesser known species differs from four seconds? Conduct both a hypothesis test and calculate a confidence interval to answer this question. But before you begin all the steps also consider the following: By your notes from Video 47: Write out what it would mean to make a Type I error in this case. Think of one consequence of making a Type I error. Do the same for a Type II error. Based on your assessment of these errors, how would you advise setting the significance level for this hypothesis test?
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