Digital cameras have taken over the majority of the point-and-shoot camera market. One of the important features of a camera is the battery life, as measured by the number of shots taken until the battery needs to be recharged. The “Digital Camera” data  in Chapter 10_HW_Data.xls contains the battery life of 29 subcompact cameras and 16 compact cameras (data extracted from “Digital Cameras,” Consumer Reports, July 2009, pp.28-29).   Assuming that the population variances from both types of digital cameras are equal, is there evidence of a difference in the mean battery life between the two types of digital cameras (α = 0.05)?  Determine the p-value in (a) and interpret its meaning.  Is there evidence of a difference in the variability of the battery life between the two types of digital cameras? (use α = 0.05)  Based on the results of (c), which t test should you use to compare the mean battery life of the two types of cameras?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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Digital cameras have taken over the majority of the point-and-shoot camera market. One of the important features of a camera is the battery life, as measured by the number of shots taken until the battery needs to be recharged. The “Digital Camera” data  in Chapter 10_HW_Data.xls contains the battery life of 29 subcompact cameras and 16 compact cameras (data extracted from “Digital Cameras,” Consumer Reports, July 2009, pp.28-29).  

Assuming that the population variances from both types of digital cameras are equal, is there evidence of a difference in the mean battery life between the two types of digital cameras (α = 0.05)? 

Determine the p-value in (a) and interpret its meaning. 

Is there evidence of a difference in the variability of the battery life between the two types of digital cameras? (use α = 0.05) 

Based on the results of (c), which t test should you use to compare the mean battery life of the two types of cameras?  

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