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taken 19 mins 49 secs 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 patients body, but the battery pack needs to be recharged about every 4 hours. A random sample of 16 battery packs is selected and subjected to a life test. The average life of these batterles is 4.07 hours. Assume that battery life is normalty distributed with a standard deviation of 0.2 hours. lustify and test the hypotheses to show whether there is evidence to support the claim that means battery life exceeds 4 hours? Use the level of significance based on a confidence interval of 90 %. FILL IN THE BLANK FOR THE FOLLOWING SOLUTION The parameter of interest is the (a). Hypotheses are (iii) Ho :(b) versus H1 : ( a (d) . use value Z (e) .. ay Citicot region :Reject Ho if ) v) Test Statistics Ho then (vii) Conclusion: There is to support the claim that tne mean battery ute exceeds 4 hours. Write your answers in box below as follows
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Answer #1

TOPIC: One-sample Z-test for population mean.

Sampe mean= 4.07 how 62 Population sd (known)ユ0.2- The parame tera intenest e digpotheses are y no : μ. 4 versus since, don 9o , CI Ka0,1o ez use value bero -th Co.o Reject Holt, ③ Test-statistic (z)乙1.605 #9 (maitic at ngion 」, i to, Tost-statisties (2) o 2 ニ 11.40(h) Sinee,Z-X 1.64 5 then do not neietro mat - +- sutpont the can that the battery e exceeds 4 hours. mean So, the answeX8 are-,-- Population mean (] 3 d IO 1.6+5j 1 LO K 1.645 j motsuldicient evidence

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