Maple syrup is a non-negligible nutritional source of manganese. It is made from the sap of two species of maple: the sugar maple and the black maple. To see if there is a significant difference between the manganese content of these two species of maple, we measured the manganese content (in mg per 100g syrup) for a sample of sugar maples and a sample of black maples. The data is summarized by the Minitab -output below: Two-sample T for Sugar Maple Black Maple group N Mean St.Dev SE Mean

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Maple syrup is a non-negligible nutritional source of manganese. It
is made from the sap of two species of maple: the sugar maple and
the black maple. To see if there is a significant difference between
the manganese content of these two species of maple, we measured the
manganese content (in mg per 100g syrup) for a sample of sugar maples
and a sample of black maples. The data is summarized by the Minitab
output below:
Two-sample T for Sugar Maple Black Maple
group
N
Mean St Dev SE Mean
Sugar Maple 20
Black Maple
12 3.55 0.29
Find: (i) a point estimate for ₁-2, where ₁ and 2 are the average
manganese contents of the sugar maple, respectively the black maple;
(ii) the standard error of X₁ - X₂.
A) (i) -0.07; (ii) 0.101
C) (i) -0.26; (ii) 0.097
E) (i) -0.07; (ii) 0.035
3.29
0.22
0.049
0.084
B) (i) -0.26; (ii) 0.188
D) (i) -0.26; (ii) 0.101
Transcribed Image Text:Maple syrup is a non-negligible nutritional source of manganese. It is made from the sap of two species of maple: the sugar maple and the black maple. To see if there is a significant difference between the manganese content of these two species of maple, we measured the manganese content (in mg per 100g syrup) for a sample of sugar maples and a sample of black maples. The data is summarized by the Minitab output below: Two-sample T for Sugar Maple Black Maple group N Mean St Dev SE Mean Sugar Maple 20 Black Maple 12 3.55 0.29 Find: (i) a point estimate for ₁-2, where ₁ and 2 are the average manganese contents of the sugar maple, respectively the black maple; (ii) the standard error of X₁ - X₂. A) (i) -0.07; (ii) 0.101 C) (i) -0.26; (ii) 0.097 E) (i) -0.07; (ii) 0.035 3.29 0.22 0.049 0.084 B) (i) -0.26; (ii) 0.188 D) (i) -0.26; (ii) 0.101
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