5. Hypothesis testing on the mean with known o2: Medical researchers have de- veloped 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 55 battery packs is selected and subjected to a life test. The average life of these batteries is 5.45 hours. Assume that battery life is normally distributed with standard deviation o = 0.3 hour. (a) (Hypothesis Testing) Is there evidence to support the claim that mean battery life exceeds 5 hours? Use a = 0.05 Be sure to state your null and alternative hypothesis for this problem.

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5. Hypothesis testing on the mean with known o2: Medical researchers have de-
veloped 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 55
battery packs is selected and subjected to a life test. The average life of these batteries
is 5.45 hours. Assume that battery life is normally distributed with standard deviation
o = 0.3 hour.
(a) (Hypothesis Testing) Is there evidence to support the claim that mean battery
life exceeds 5 hours? Use a = 0.05 Be sure to state your null and alternative
hypothesis for this problem.
Transcribed Image Text:5. Hypothesis testing on the mean with known o2: Medical researchers have de- veloped 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 55 battery packs is selected and subjected to a life test. The average life of these batteries is 5.45 hours. Assume that battery life is normally distributed with standard deviation o = 0.3 hour. (a) (Hypothesis Testing) Is there evidence to support the claim that mean battery life exceeds 5 hours? Use a = 0.05 Be sure to state your null and alternative hypothesis for this problem.
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