Aswine producer wants to know if the average weight of his pigs is different from the breed average of 230 lb. he selects a random sample of 16 weights from pigs in his herd and calculates a sample mean of 220 lb and a sample standard deviation of 25 lb. assume that he wants to detect departure from 230 lb in either direction and that he uses a significance level of 0.10. calculate the value of the test statistic needed to test the null hypothesis.

t= -1.60

Explanation:

Let be the population mean weight of pigs.

As per given , we have

Sample size : n= 16

Sample mean =

Sample standard deviation :

Since the population standard deviation is not known so the test is a t-test.

Test statistic for population mean :

(Substitute all the values.)

Hence, the value of the test statistic needed to test the null hypothesis : t= -1.60

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