alpha= 0.05. Amanufacturer of car batteries guarantees that his batteries willth

Question

alpha= 0.05.

Amanufacturer of car batteries guarantees that his batteries willthe last, on average, 3 years with a standard deviation of 1 year.If randomly selected 5 of these batteries showed a variance of0.815 years. Complete the following conclusions to figure out ifthe manufacturer still convinced that his batteries have a standarddeviation of 1 year.

a-      Find the H0 and Ha.

H0 :    2 (<,>,=, not equal)Fill in the _____ 1

Ha :   2 (<,>,=, not equal) Fill in the _____ 1

b-      Calculate X2

X2 =

c-       We (reject / accept)______H0

Explanation / Answer

n=5,S=0.815, =1

H0 :    2 (<,>,=, not equal)Fill in the __=___ 1

Ha :   2 (<,>,=, not equal) Fill in the ___notequal__ 1

b-      Calculate X2

X2 =(n-1)S^2/^2 =(4-1)*0.815^2/1= 1.992675

If X^2<0.4844 or X^2>11.14, reject Ho.

c-       We (reject / accept)__accept____H0

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