SOLUTION: Hi Tutors, Can u please help me with these problems? 1. A stock of tilapia will only be harvested if the average body weight of the tilapia is greater than 20g. A sample of

Question 846439: Hi Tutors,
Can u please help me with these problems?

1. A stock of tilapia will only be harvested if the average body weight of the tilapia is greater than 20g. A sample of 50 pieces is drawn with an average weight of 22g and SD of 15. Using a test of hypothesis at the 1% level of significance, will you decide to harvest your stock?

2. Among 10,000 school children, 500 of them are randomly selected for a survey on nutritional status among school age children. Of these 500 school children, 91 are found to be moderately and severely underweight children. At 5% level of significance, is their evidence that the proportion of moderately and severely underweight children is 20%?

I would truly appreciate it if you can help me.

Thanks,
Shagao

Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
1. Assume that the body weight of tilapia, X, is normally distributed.

Null hypothesis:
Alternate hypothesis:

Z score is calculated as:

Critical Z-score is

To test the truth of null hypothesis:
Since at 1% significance level the null hypothesis is not true. Hence, I will not decide to harvest the stock.
2. Try yourself following the previous problem. If you need help then contact me.
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