Explaining supposition of normal population is doubtful

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Q1)  Manufacturer of airport baggage-scanning machine claims it can handle average of 530 bags per hour. At a=.05 in left tailed test, would sample of 16 randomly selected hours with mean of 510 and standard deviation of 50 point out that manufacturer's claim is overstated? Select the suitable hypothesis.

 

H0: μ ≥ 530, reject H0 if t < -1.753

 

H1: μ ≥ 530, reject H1 if t < -1.753

 

H0: μ < 530, reject H0 if t > -1.753

 

H1: μ < 530, reject H1 if t > -1.753

 

b) Why might supposition of normal population be doubtful? Problem arises when:

 

i) Too many bags are processed.

 

ii) Low numbers of bags are processed.

 

iii) A perfect symmetric distribution will happen.

 

iv) A skewed distribution will arise.

Reference no: EM1321690

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