A quality assurance inspector periodically examines the output of a machine to d

Question

A quality assurance inspector periodically examines the output of a machine to determine if i is property adjusted When property adjusted the machine produces nails having a mean length of 2 000 inches in addition the population standard deviation is known and is 0 070 inches For a sample of 35 nails, the mean length is 2 025 inches Assume the population is normally distributed and assume a 0 05 level of significance Assume Z_ values of -1 96 and +1 96 the hypotheses are as follows H_0: mu = 2 (machine is properly adjusted) H_1: mu notequalto 2 (machine is not properly adjusted) the machine Is not properly adjusted the machine is properly adjusted We cannot determine If tea machine Is or Is not properly adjusted None of the above

Explanation / Answer

here std error =std deviation/(n)1/2 =0.0118

hence test stat z=(X-mean)/std error =2.1128

as z stat is in rejection region

hence the m/c is not properly adjusted

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