Below presents a sample of the number of defective flash drives produced by a sm

Question

Below presents a sample of the number of defective flash drives produced by a small manufacturing company over the last 30 weeks. The company’s operations manager believes that the number of defects produced by the process is less than seven defective flash drives per week. Construct a hypothesis test to verify the operations manager’s claim. Your hypothesis test should include null and alternative hypotheses, a t test statistic value, a p value, a decision, and a conclusion. Submit a Word file that includes the hypothesis test.

Week

Week

#Flashdrives 1 6 2 7 3 6 4 5 5 7 6 5 7 6 8 6 9 8 10 9 11 9 12 7 13 5 14 6 15 8 16 8 17 9 18 7 19 6 20 8 21 5 22 7 23 6 24 8 25 10 26 9 27 7 28 8 29 7 30 6

Explanation / Answer

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   7  
Ha:    u   >   7  
              
As we can see, this is a    right   tailed test.      
              
df = n - 1 =    29          
              
Getting the test statistic, as              
              
X = sample mean =    7.033333333          
uo = hypothesized mean =    7          
n = sample size =    30          
s = standard deviation =    1.376736104          
              
Thus, t = (X - uo) * sqrt(n) / s =    0.132613785          
              
Also, the p value is              
              
p =    0.447707362          
              
As P > 0.05 (or, it is actually really high), we   FAIL TO REJECT THE NULL HYPOTHESIS.          
              
Hence, we fail to reject the claim of the operations manager that the number of defects produced by the process is less than seven defective flash drives per week at 0.05 level. [CONCLUSION]

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