The weight (in grams) of parts produced in Plants A and B follow anormal distrib

Question

The weight (in grams) of parts produced in Plants A and B follow anormal distribution. A sample of 12 parts from Plant A had anaverage weight of 200 grams with a sample standard deviation of 10grams. A sample of 16 parts from Plant B had an average weight of205 grams with a sample standard deviation of 15 grams.
Use this information to test the alternative hypothesis that theaverage weight of parts at Plant B is greater than the averageweight of parts at Plant A.

1. (1 pts)
   Give the null hypothesis.
   Response:
   
   
2. (1 pts)
   Give the critical value for this test at 0.05 level ofsignificance.
   Response:
   
   
3. (1 pts)
   Calculate the appropriate test statistic to 4 decimals.
   Response:
   
   
4. (1 pts)
   What is your conclusion at 0.05 level of significance?
   Response:
   
   
5. (1 pts)
   Claculate the p-value to 4 decimals.
   Response:

Explanation / Answer

Plant A: n1=12, xbar1=200, s1=10 Plant B: n2=16, xbar2=205, s2=15 --------------------------------------------------------------------------------------------------- The test hypothesis is Ho:1-2>=0 (null hypothesis) Ha:1-2-1.71, we do not reject Ho. So we can not concludethat that the average weight of parts at Plant B is greater thanthe average weight of parts at Plant A. --------------------------------------------------------------------------------------------------- The p-value is P(t

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