Medical researchers have developed a new artificial heart constructed primarily of titanium and plastic. The heart will last and operate almost indefinitely once it is implanted in the patient’s body, but the battery pack needs to be recharged about every 5 hours. A random sample of 50 battery packs is selected and subjected to a life test. The average life of these batteries is 5.05 hours. Assume the battery life is normally distributed with a standard deviation σ = 0.2 hours. a) Is there evidence to support the claim that the mean battery life exceeds 5 hours? Use α = 0.05. You can utilize either the Fixed Level Test or P-Value or confidence interval approach to determine the validity of this hypothesis. b) Find the Type II error (β) if the battery life true mean is 5.3 hours.
Medical researchers have developed a new artificial heart constructed primarily of titanium
and plastic. The heart will last and operate almost indefinitely once it is implanted in the
patient’s body, but the battery pack needs to be recharged about every 5 hours. A random
sample of 50 battery packs is selected and subjected to a life test. The average life of these
batteries is 5.05 hours. Assume the battery life is
deviation σ = 0.2 hours.
a) Is there evidence to support the claim that the mean battery life exceeds 5 hours?
Use α = 0.05. You can utilize either the Fixed Level Test or P-Value or confidence
interval approach to determine the validity of this hypothesis.
b) Find the Type II error (β) if the battery life true mean is 5.3 hours.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
