Question

Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart beat. Because most of the body's calcium is stored in bones and teeth, the body withdraws the calcium it needs from the bones. Over time, if more calcium is taken out of the bones than is put in, the result may be thin, weak bones. This is especially important for women who are often recommended a calcium supplement. A consumer group activist assumes that calcium content in two popular supplements are normally distributed with the same unknown population variance, and uses the following information obtained under independent sampling: Supplement 1 $ar{x}_1$ = 1,000 mg Supplement 2 $ar{x}_2$ = 1,016 mg s1 = 23 mg s2 = 24 mg n1 = 12 n2 = 15 Let $mu_1$ and $mu_2$ denote the corresponding population means. Can we conclude that the average calcium content of the two supplements differs at the 95% confidence level?

          Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart beat. Because most of the body's calcium is stored in
bones and teeth, the body withdraws the calcium it needs from the bones. Over time, if more calcium is taken out of the bones than is put in, the result
may be thin, weak bones. This is especially important for women who are often recommended a calcium supplement. A consumer group activist
assumes that calcium content in two popular supplements are normally distributed with the same unknown population variance, and uses the following
information obtained under independent sampling:
Supplement 1
$ar{x}_1$ = 1,000 mg
Supplement 2
$ar{x}_2$ = 1,016 mg
s1 = 23 mg
s2 = 24 mg
n1 = 12
n2 = 15
Let $mu_1$ and $mu_2$ denote the corresponding population means. Can we conclude that the average calcium content of the two supplements differs at the
95% confidence level?

Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart beat. Because most of the body's calcium is stored in
bones and teeth, the body withdraws the calcium it needs from the bones. Over time, if more calcium is taken out of the bones than is put in, the result
may be thin, weak bones. This is especially important for women who are often recommended a calcium supplement. A consumer group activist
assumes that calcium content in two popular supplements are normally distributed with the same unknown population variance, and uses the following
information obtained under independent sampling:
Supplement 1
arx1 = 1,000 mg
Supplement 2
arx2 = 1,016 mg
s1 = 23 mg
s2 = 24 mg
n1 = 12
n2 = 15
Let mu1 and mu2 denote the corresponding population means. Can we conclude that the average calcium content of the two supplements differs at the
95% confidence level?

Added by Ines C.

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