Question

Through extensive data collection, quality control experts have verified that the true mean weight of a wrapped Starburst candy is 5.1 grams, as advertised on the package. However, in a class activity where you selected and weighed 8 wrapped Starburst candies you obtained a p-value of 0.003 and concluded that the true mean weight of Starburst candies is not as advertised. What type of error was potentially made in this hypothesis test

Answer 1

Type 1 error.

Explanation:

H0 : μ = 5.1

H1 : μ ≠ 5.1

The Pvalue of the test = 0.003

Decision made by the researcher was conclude that mean weight is not as advertised, that is the researcher rejected the Null hypothesis.

However, when the Pvalue is < α - value , we reject the null ; The type of error the researcher could have made is that ; The mean weight may be truly as advertised, Hence, leading us to make a false positive error, thus is rejecting a true null. This is a TYPE 1 error.