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.

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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.
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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