SOLUTION: This data set represents 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 believe

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Question 1015666: This data set represents 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 #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

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
H%5Bo%5D:mu%3C=7
H%5Ba%5D:mu%3E7
From the data, the mean is 7.033.
s%2Fsqrt%28n%29=1.376736%2Fsqrt%2830%29=0.251356
Calculating the t score from this information,
t=%287.033-7%29%2F0.251356=0.1326
The critical t value for a one tailed test with 29 DOFs would be
t%5BCR%5D=1.699
Since t%3Ct%5BCR%5D, you don't have enough evidence to reject the null hypothesis.