Question

Ryan, a baker, measured the weights of cakes baked in each batch at his bakery and found that the mean weight of each cake is 500 grams. He performed a hypothesis test to find the mean weight of each cake by setting H subscript 0 equals 500 and H subscript a less than 500. Select the statement that indicates a Type I error.

a) Rejecting the mean weight of each cake as 500 grams when H subscript 0 equals 500.

b) Rejecting the mean weight of each cake as 500 grams when H subscript 0 less than 500.

c) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 equals 500.

d) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 less than 500.

Answer 1

Answer: Rejecting the mean weight of each cake as 500 gram when H subscript 0 equals 500

Explanation:

Given that :

Null hypothesis : H0 =500

Alternative hypothesis : Ha < 500

Type 1 Error: Type 1 error simply occurs when we reject the Null hypothesis when the Null is true. Alternatively, type 11 error occurs when we fail to reject a false null hypothesis.

Hence, in the scenario above, a type 1 error will occur when we reject the mean weight as 500 even though the Null hypothesis is True.

Answer 2

Answer: A) Rejecting the mean weight of each cake as 500 grams when H₀ = 500.

Explanation:

Type I error is when we incorrectly reject a true null hypothesis