a-nutritionist-claims-that-the-average-sugar-content-in-brand-a-cereal-is-greate

Question

A nutritionist claims that the average sugar content in Brand A cereal is greater than the average in Brand B cereal. To test this claim at the $alpha equals 0.01$ level of significance, the following data is collected from independent random samples of each brand:

Population standard deviations:

$sigma sub 1 equals 1.5$ grams (Brand A), $sigma sub 2 equals 1.2$ grams (Brand B)

Sample statistics:

$x ˉ sub 1 equals 10.2$ grams, $n sub 1 equals 64$ (Brand A)

$x ˉ sub 2 equals 9.6$ grams, $n sub 2 equals 49$ (Brand B)

Accepted Answer

$z equals 2.36$ ; reject $H sub 0$ . There is sufficient evidence to support the claim.

Answer

$z equals 2.36$ ; fail to reject $H sub 0$ . There is insufficient evidence to support the claim.

Answer

$z equals 2.36$ ; reject $H sub 0$ . There is sufficient evidence to support the claim.

Answer

$z equals 2.36$ ; fail to reject $H sub 0$ . There is insufficient evidence to support the claim.