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 To determine if the interaction term is significant, an F-test is performed. How is the F-statistic for the interaction term calculated? F-stat = / What are the degrees of freedom for the F-statistic for the interaction term? numerator df = denominator df =

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 To determine if the interaction term is significant, an F-test is performed. How is the F-statistic for the interaction term calculated? F-stat = / What are the degrees of freedom for the F-statistic for the interaction term? numerator df = denominator df =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 9CYU

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