A producer claims that his potato chips weight is at least 150 grams. The weight of the bag has a normal distribution with mean 150 grams and standard deviation of 4 grams. The manager tries to test night shift production weight is heavier that day shift. Because of the complaints of the customers, quality control department select randomly 19 bags from the daily shift and find the mean as 146 grams and variance 9 grams and randomly selected 21 bags from the night shift and find the mean as 148 grams and variance 8 grams. If manager want to test the claim as night shift mean weight of the product is bigger than that of day shift at 1% level of significance . Calculate the test statistics. (H 1 : mu night shift > mu day shift).
USE 3 DECIMAL A producer claims that his potato chips weight is at least 150 grams. The weight of the bag has a
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