75. Healthy bones The recommended daily allowance (RDA) of calcium for women between the ages of 18 and 24 years is 1200 milligrams (mg). Researchers who were involved in a large-scale study of women's bone health suspected that their participants had significantly lower calcium intakes than the RDA. To test this suspi- cion, the researchers measured the daily calcium intake of a random sample of 36 women from the study who fell in the desired age range. The Minitab output below displays the results of a significance test. One-Sample T: Calcium intake (mg) Test of mu = 1200 vs < 1200 Variable Calcium N Mean StDev SE Mean T P 36 856.2 306.7 51.1 -6.73 0.000 a) Do these data give convincing evidence to support the researchers' suspicion? Justify your answer. b) Interpret the P-value in context.
75. Healthy bones The recommended daily allowance (RDA) of calcium for women between the ages of 18 and 24 years is 1200 milligrams (mg). Researchers who were involved in a large-scale study of women's bone health suspected that their participants had significantly lower calcium intakes than the RDA. To test this suspi- cion, the researchers measured the daily calcium intake of a random sample of 36 women from the study who fell in the desired age range. The Minitab output below displays the results of a significance test. One-Sample T: Calcium intake (mg) Test of mu = 1200 vs < 1200 Variable Calcium N Mean StDev SE Mean T P 36 856.2 306.7 51.1 -6.73 0.000 a) Do these data give convincing evidence to support the researchers' suspicion? Justify your answer. b) Interpret the P-value in context.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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
Transcribed Image Text:75. Healthy bones The recommended daily allowance
(RDA) of calcium for women between the ages of 18
and 24 years is 1200 milligrams (mg). Researchers who
were involved in a large-scale study of women's bone
health suspected that their participants had significantly
lower calcium intakes than the RDA. To test this suspi-
cion, the researchers measured the daily calcium intake
of a random sample of 36 women from the study who
fell in the desired age range. The Minitab output below
displays the results of a significance test.
One-Sample T: Calcium intake (mg)
Test of mu = 1200 vs < 1200
Variable
Calcium
N Mean
36 856.2 306.7
T P
51.1 -6.73 0.000
StDev SE Mean
(a) Do these data give convincing evidence to support
the researchers' suspicion? Justify your answer.
(b) Interpret the P-value in context.
Expert Solution

Step 1
Given that
The Minitab output below displays the results of a significance test.
Sample size (N)=36
Sample mean =856.2
Standard deviation =306.7
SE mean =51.1
T=-6.73
P value=0.000
We have to find
(a) Do these data give convincing evidence to support the researchers' suspicion?
(b) Interpret the P-value
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