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a. Are the FBS and HBA1c values significantly correlated? Test at α = 0.05. Use the 5-step

An engineer conducted an experiment to test how moisture absorption varies among five concrete aggregates. Six samples of each aggregate were exposed to moisture for 48 hours. The moisture absorption levels were recorded. An analysis of variance test was performed at the 0.05 significance level to determine if there are significant differences in mean moisture absorption among the five aggregates and, if so, where the differences lie. A doctor studied the effects of medications on diabetes patients. Data on fasting blood sugar (FBS) and hemoglobin A1c (HBA1c) levels were collected for 13 individuals. The doctor must (1) determine if FBS and HBA1c are significantly correlated using a 5-step solution at α=0.05

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0% found this document useful (0 votes)
30 views1 page

a. Are the FBS and HBA1c values significantly correlated? Test at α = 0.05. Use the 5-step

An engineer conducted an experiment to test how moisture absorption varies among five concrete aggregates. Six samples of each aggregate were exposed to moisture for 48 hours. The moisture absorption levels were recorded. An analysis of variance test was performed at the 0.05 significance level to determine if there are significant differences in mean moisture absorption among the five aggregates and, if so, where the differences lie. A doctor studied the effects of medications on diabetes patients. Data on fasting blood sugar (FBS) and hemoglobin A1c (HBA1c) levels were collected for 13 individuals. The doctor must (1) determine if FBS and HBA1c are significantly correlated using a 5-step solution at α=0.05

Uploaded by

Jocel D. Mendoza
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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ASSIGNMENT

(F-TEST)
In an experiment that an engineer is interested in how the mean absorption of moisture
in concrete varies among five (5) different concrete aggregates. The samples are
exposed to moisture for forty-eight (48) hours. It is decided that six (6) samples are to
be tested. The data are recorded as follows:

Absorption of Moisture in Concrete Aggregates


Aggregates 1 2 3 4 6
551 595 639 417 563
457 580 615 449 631
450 508 511 517 522
731 583 573 438 613
499 633 648 415 656
632 517 677 555 679

Perform the analysis of variance at the 0.05 level of significance and indicate whether or
not the mean moisture absorption of concrete aggregates differs significantly for the
five (5) aggregates. If there is significant difference, identify where the significant
difference lie.

(CORRELATIONAL ANALYSIS)
An study on the effects of medications on diabetes was conducted by a doctor who was
born in Lopez, Quezon. Two of the generated data were the results of FBS (Fasting Blood Sugar)
and HBA1c (Hemoglobin A1c). The results were as follows:

Individual 1 2 3 4 5 6 7 8 9 10 11 12 13
FBS 130 127 180 136 140 128 180 185 155 120 150 124 136
HBA1c 6.89 7.30 7.90 7.36 7.14 8.01 8.50 8.38 7.90 6.80 6.90 6.80 6.90

a. Are the FBS and HBA1c values significantly correlated? Test at α = 0.05. Use the 5-step
solution.
b. Determine the Least Square Regression Line.
c. Determine the Standard Error of Estimate

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