A research study examined the effects of type of material and temperature on the lifetime of a battery (in hours). In an experiment, three types of material were used (nickel-cadmium, nickel-metal hydride, and lithium-ion). Twelve batteries of each type of material were randomly assigned to one of three temperatures (15 degrees Fahrenheit, 70 degrees Fahrenheit, or 125 degrees Fahrenheit) so that there were four batteries of each type of material in each of the three temperature groups. Batteries were stored in rooms with the assigned temperature. The lifetime of each battery (in hours) was recorded. The researchers analyzed the data and reported the following incomplete Analysis of Variance table, which includes an interaction term. Source of variation Material Temperature Metal*Temperature Error sum of squares 10684 39118 9612 18231 DF 27 mean squares 675 F-statistic p-value 0.0020 <.0001 0.0186 The p-value for the F-statistic for the main effect of "Material" = Therefore, the main effect of "Material" is at the 5% significance level.
A research study examined the effects of type of material and temperature on the lifetime of a battery (in hours). In an experiment, three types of material were used (nickel-cadmium, nickel-metal hydride, and lithium-ion). Twelve batteries of each type of material were randomly assigned to one of three temperatures (15 degrees Fahrenheit, 70 degrees Fahrenheit, or 125 degrees Fahrenheit) so that there were four batteries of each type of material in each of the three temperature groups. Batteries were stored in rooms with the assigned temperature. The lifetime of each battery (in hours) was recorded. The researchers analyzed the data and reported the following incomplete Analysis of Variance table, which includes an interaction term. Source of variation Material Temperature Metal*Temperature Error sum of squares 10684 39118 9612 18231 DF 27 mean squares 675 F-statistic p-value 0.0020 <.0001 0.0186 The p-value for the F-statistic for the main effect of "Material" = Therefore, the main effect of "Material" is at the 5% significance level.
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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A research study examined the effects of type of material and temperature on the lifetime of a battery (in hours). In an experiment, three types of material were used (nickel-cadmium, nickel-metal hydride, and lithium-ion). Twelve batteries of each type of material were randomly assigned to one of three temperatures (15 degrees Fahrenheit, 70 degrees Fahrenheit, or 125 degrees Fahrenheit) so that there were four batteries of each type of material in each of the three temperature groups. Batteries were stored in rooms with the assigned temperature. The lifetime of each battery (in hours) was recorded. The researchers analyzed the data and reported the following incomplete Analysis of Variance table, which includes an interaction term.
| Source of variation Material Temperature Metal*Temperature Error |
sum of squares 10684 39118 9612 18231 |
DF 27 |
mean squares 675 |
F-statistic | p-value 0.0020 <.0001 0.0186 |
- The p-value for the F-statistic for the main effect of "Material" =
- Therefore, the main effect of "Material" is at the 5% significance level.
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