Math Solutions

[Solution Library] The weight of pigs is assumed to follow normal distribution. The average weight of 32 pigs sampled from Fair Oaks farm is 218 pounds and

Question: The weight of pigs is assumed to follow normal distribution. The average weight of 32 pigs sampled from Fair Oaks farm is 218 pounds and the variance is 42. The average weight of 32 pigs sampled from fair Oaks farm is 215 pounds and the variance is 30. We can reasonably assume that the variances of weight of pigs in two farms are same.

  1. Find the test statistic of the test "Ho: The average weight of pigs is the same for the two farms."
  2. Under the null hypothesis, which distribution does the test statistic follow? Specify the name of the distribution with parameters.

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