Pregnant women with gestational diabetes mellitus (GDM) are at risk for long-term weight gain and subsequent development of type II diabetes. A pilot weight loss clinical trial was conducted where women with GDM were randomized to either an active intervention using a web-based delivery or a control intervention. Women were randomized at 6 weeks postpartum and then were seen at follow-up visits at 6 months and 12 months postpartum. At 12 months postpartum, women in the active group lost a mean of 0.22 lb with a standard deviation of 15.5 lbs. Hint: For all parts of this problem, assume that weights can be measured exactly and no continuity correction is necessary. USE SALT (a) If we assume that the change in weight from pre-pregnancy to 12 months is normally distributed, then what percent of women in the active group were at or below their pre-pregnancy weight at 12 months postpartum? (Round your answer to two decimal places.) (b) At 12 months postpartum, women in the control group gained a mean of 7.7 lbs. with a standard deviation of 15.1 lbs. compared with their pre-pregnancy weight. What is the probability that a control group woman was at or below her pre-pregnancy weight at 12 months? (Hint: Make the same assumptions as in part (a). Round your answer to four decimal places.) (c) What are the approximate 10th and 90th percentiles of weight change (in lbs) from pre-pregnancy to 12 months postpartum among women in the active group? Among women in the control group? (Hint: Make the same assumptions as in parts (a) and (b). Let negative values represent a weight loss. Round your answers to one decimal place.) What is the 10th percentile for the active group? lbs What is the 90th percentile for the active group? lbs What is the 10th percentile for the control group? lbs What is the 90th percentile for the control group? lbs

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Diabetes, Obstetrics
Pregnant women with gestational diabetes mellitus (GDM) are at risk for long-term weight gain and subsequent development of type II diabetes. A pilot weight loss clinical trial was conducted where women with GDM were randomized to either an active intervention using a web-based delivery or a
control intervention. Women were randomized at 6 weeks postpartum and then were seen at follow-up visits at 6 months and 12 months postpartum. At 12 months postpartum, women in the active group lost a mean of 0.22 lb with a standard deviation of 15.5 lbs.
Hint: For all parts of this problem, assume that weights can be measured exactly and no continuity correction is necessary.
USE SALT
(a) If we assume that the change in weight from pre-pregnancy to 12 months is normally distributed, then what percent of women in the active group were at or below their pre-pregnancy weight at 12 months postpartum? (Round your answer to two decimal places.)
%
(b) At 12 months postpartum, women in the control group gained a mean of 7.7 lbs. with a standard deviation of 15.1 lbs. compared with their pre-pregnancy weight. What is the probability that a control group woman was at or below her pre-pregnancy weight at 12 months? (Hint: Make the same
assumptions as in part (a). Round your answer to four decimal places.)
(c) What are the approximate 10th and 90th percentiles of weight change (in lbs) from pre-pregnancy to 12 months postpartum among women in the active group? Among women in the control group? (Hint: Make the same assumptions as in parts (a) and (b). Let negative values represent a weight
loss. Round your answers to one decimal place.)
What is the 10th percentile for the active group?
lbs
What is the 90th percentile for the active group?
lbs
What is the 10th percentile for the control group?
lbs
What is the 90th percentile for the control group?
lbs
(d) Officials in the State Health Department are considering using the active intervention in the general population of women with GDM. However, they expect that 80% of the women who are offered the intervention will actually comply with the intervention and are expected to have a weight gain
distribution similar to the active group. The remaining 20% of women will lose interest and are expected to have a weight gain distribution similar to the control group. What % of the GDM women in the program will be expected to be no more than 2 lbs. above their pre-pregnancy weight?
(Round your answer to two decimal places.)
%
(e) The program will be implemented if at least 50% of the GDM women in the program are no more than 2 lbs. above their pre-pregnancy weight at 12 months postpartum. Based on the results in part (d), should the program be implemented? Why or why not?
The percentage calculated in part (d) is ---Select--- 50%, so the program ---Select--- be implemented.
Transcribed Image Text:Diabetes, Obstetrics Pregnant women with gestational diabetes mellitus (GDM) are at risk for long-term weight gain and subsequent development of type II diabetes. A pilot weight loss clinical trial was conducted where women with GDM were randomized to either an active intervention using a web-based delivery or a control intervention. Women were randomized at 6 weeks postpartum and then were seen at follow-up visits at 6 months and 12 months postpartum. At 12 months postpartum, women in the active group lost a mean of 0.22 lb with a standard deviation of 15.5 lbs. Hint: For all parts of this problem, assume that weights can be measured exactly and no continuity correction is necessary. USE SALT (a) If we assume that the change in weight from pre-pregnancy to 12 months is normally distributed, then what percent of women in the active group were at or below their pre-pregnancy weight at 12 months postpartum? (Round your answer to two decimal places.) % (b) At 12 months postpartum, women in the control group gained a mean of 7.7 lbs. with a standard deviation of 15.1 lbs. compared with their pre-pregnancy weight. What is the probability that a control group woman was at or below her pre-pregnancy weight at 12 months? (Hint: Make the same assumptions as in part (a). Round your answer to four decimal places.) (c) What are the approximate 10th and 90th percentiles of weight change (in lbs) from pre-pregnancy to 12 months postpartum among women in the active group? Among women in the control group? (Hint: Make the same assumptions as in parts (a) and (b). Let negative values represent a weight loss. Round your answers to one decimal place.) What is the 10th percentile for the active group? lbs What is the 90th percentile for the active group? lbs What is the 10th percentile for the control group? lbs What is the 90th percentile for the control group? lbs (d) Officials in the State Health Department are considering using the active intervention in the general population of women with GDM. However, they expect that 80% of the women who are offered the intervention will actually comply with the intervention and are expected to have a weight gain distribution similar to the active group. The remaining 20% of women will lose interest and are expected to have a weight gain distribution similar to the control group. What % of the GDM women in the program will be expected to be no more than 2 lbs. above their pre-pregnancy weight? (Round your answer to two decimal places.) % (e) The program will be implemented if at least 50% of the GDM women in the program are no more than 2 lbs. above their pre-pregnancy weight at 12 months postpartum. Based on the results in part (d), should the program be implemented? Why or why not? The percentage calculated in part (d) is ---Select--- 50%, so the program ---Select--- be implemented.
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