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How do you find the p-value like the answer below, how did you come up with 0.000141 answer? Please provide a t-table and explain steps

How do you find the p-value like the answer below, how did you come up with 0.000141 answer? Please provide a t-table and explain steps by step

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Scenario 3 You are interested in comparing the number of candies in an M& M bag and a Skittles bag. The M&M bag is known to have an average of 60 candies in a bag. To test if there is a significant difference in the number of candies between the two brands, you sampled 30 bags of Skittles and found out that the number of candies is 52 in average with a standard deviation of 10. Set alpha level of 0..05. Establishing hypotheses: Null: u = 60 Alternate: u # 60 Using one t test sample formula t = (x-u)/(s/sqrt n) t = (52-60)/ (10/sqrt 30) t= -4.3818 At df = n-1 = 30-1 = 29 and t = -4.3818, p value = 0.000141. Since p value is less than 0.05 alpha level, we reject the null hypothesis and conclude that the M&M and Skittles have significantly different number of candies in a bag

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