A manufacturing firm claims that the batteries used in their electronic games will last an average of 30 hours. To maintain this average, 16 batteries are tested each month. If the compared t-value falls between -t0.025 and t0.025, the firm is satisfied with its claim. What conclusion should the firm draw from a sample that has a mean of x = 27.5 hours and a standard deviation of s = 5 hours? Assume the distribution of battery lives to be approximately normal.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Solve the given problem using mathematical procedure.

A manufacturing firm claims that the batteries used in their electronic games will
last an average of 30 hours. To maintain this average, 16 batteries are tested each
month. If the compared t-value falls between -t0.025 and t0.025, the firm is
satisfied with its claim. What conclusion should the firm draw from a sample that
has a mean of x 27.5 hours and a standard deviation of s = 5 hours? Assume
the distribution of battery lives to be approximately normal.
Transcribed Image Text:A manufacturing firm claims that the batteries used in their electronic games will last an average of 30 hours. To maintain this average, 16 batteries are tested each month. If the compared t-value falls between -t0.025 and t0.025, the firm is satisfied with its claim. What conclusion should the firm draw from a sample that has a mean of x 27.5 hours and a standard deviation of s = 5 hours? Assume the distribution of battery lives to be approximately normal.
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