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(a) The table below shows the mean BMD and corresponding standard deviation for each of the two groups of women. Exercise Group Sedentary Walkers Number of Women 31 28 Mean BMD 1.151 1.209 Standard Deviation 0.068 0.067 A t-test was conducted to compare the mean BMD levels for sedentary women and walkers. The results of the test showed a significant difference at the 0.01 level of significance. Based on the results, can it be concluded that converting sedentary women into walkers would necessarily increase their BMD levels? Explain.

(a) The table below shows the mean BMD and corresponding standard deviation for each of the two groups of women. Exercise Group Sedentary Walkers Number of Women 31 28 Mean BMD 1.151 1.209 Standard Deviation 0.068 0.067 A t-test was conducted to compare the mean BMD levels for sedentary women and walkers. The results of the test showed a significant difference at the 0.01 level of significance. Based on the results, can it be concluded that converting sedentary women into walkers would necessarily increase their BMD levels? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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5. Bone mineral density (BMD) is a measure of bone strength. It is defined as the ratio of bone mass to the cross- sectional area of the bone that is scanned, and it is expressed in units of grams per square centimeter (g/cm²). Recent studies suggest that peak BMD in women is achieved between ages 15 and 40, and BMD declines after age 45. Decreased BMD is associated with increased risk of bone fracture. In a recent study, the impact of regular physical exercise on women in differing stages of BMD development was examined. A simple random sample of 59 women between the ages of 41 and 45 and with no major health problems were enrolled in the study. The women were classified into one of the two following groups, based on their level of exercise activity. • Sedentary: minimal participation in physical exercise in the past three years (This group contained 31 women.) • Walkers: walk at an aerobic pace at least 135 minutes per week during the past three years (This group contained 28 women.) (a) The table below shows the mean BMD and corresponding standard deviation for each of the two groups of women. Exercise Group Sedentary Walkers Number of Women 31 28 Mean BMD 1.151 1.209 Standard Deviation 0.068 0.067 A t-test was conducted to compare the mean BMD levels for sedentary women and walkers. The results of the test showed a significant difference at the 0.01 level of significance. Based on the results, can it be concluded that converting sedentary women into walkers would necessarily increase their BMD levels? Explain.
Transcribed Image Text:5. Bone mineral density (BMD) is a measure of bone strength. It is defined as the ratio of bone mass to the cross- sectional area of the bone that is scanned, and it is expressed in units of grams per square centimeter (g/cm²). Recent studies suggest that peak BMD in women is achieved between ages 15 and 40, and BMD declines after age 45. Decreased BMD is associated with increased risk of bone fracture. In a recent study, the impact of regular physical exercise on women in differing stages of BMD development was examined. A simple random sample of 59 women between the ages of 41 and 45 and with no major health problems were enrolled in the study. The women were classified into one of the two following groups, based on their level of exercise activity. • Sedentary: minimal participation in physical exercise in the past three years (This group contained 31 women.) • Walkers: walk at an aerobic pace at least 135 minutes per week during the past three years (This group contained 28 women.) (a) The table below shows the mean BMD and corresponding standard deviation for each of the two groups of women. Exercise Group Sedentary Walkers Number of Women 31 28 Mean BMD 1.151 1.209 Standard Deviation 0.068 0.067 A t-test was conducted to compare the mean BMD levels for sedentary women and walkers. The results of the test showed a significant difference at the 0.01 level of significance. Based on the results, can it be concluded that converting sedentary women into walkers would necessarily increase their BMD levels? Explain.
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