Question 1205337: A stock of bangus will only be harvested if the average body weight of the bangus is greater than 20 g. a sample of 50 pieces is drawn:
35 16 28 22 16 29 30 22 35 35
36 18 16 24 16 25 20 21 17 20
22 16 28 28 29 36 20 28 15 26
29 26 20 26 20 23 24 25 22 25
28 15 15 24 23 23 30 35 29 27
Using a test of hypothesis at the 1% level of significance, will you decide to harvest your stock?
A. State null hypothesis
B. State alternative hypothesis
C. Level of significance
D. Test statistic
E. Decision rule based on p-value
F. Statistical decision
G. Conclusion
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! A stock of bangus will only be harvested if the average body weight of the bangus is greater than 20 g. a sample of 50 pieces is drawn:
35 16 28 22 16 29 30 22 35 35
36 18 16 24 16 25 20 21 17 20
22 16 28 28 29 36 20 28 15 26
29 26 20 26 20 23 24 25 22 25
28 15 15 24 23 23 30 35 29 27
data with comma separator rather than space.
35,16,28,22,16,29,30,22,35,35,36,18,16,24,16,25,20,21,17,20,22,16,28,28,29,36,20,28,15,26,29,26,20,26,20,23,24,25,22,25,28,15,15,24,23,23,30,35,29,27
Using a test of hypothesis at the 1% level of significance, will you decide to harvest your stock?
A. State null hypothesis
null hypothesis is that the average body weight is not greater than 20.
B. State alternative hypothesis
alternate hypothesis is that the average body weight is greater than 20.
C. Level of significance
level of significance is .01 on the high end of the confidence interval.
confidence interval is .99 with .01 tail on the right.
D. Test statistic
test statistic is t = 5.09 and p = 0.000002837
E. Decision rule based on p-value
decision rule is that critical p-value is .01.
if p is greater than that, then null hypothesis can't be rejected.
if p is less than that, then null hypothesis is rejected and alternate hypothesis is accepted.
F. Statistical decision
p was less than .01, therefore alternate hypothesis that average body weight is greater than 20 is accepted.
G. Conclusion
bangus will be harvested.
t-test calculator results are shown below.
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