Question

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 0.18 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. a button hyperlink to the salt program that reads: 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.) 22.36 incorrect: your answer is incorrect. % (b) at 12 months postpartum, women in the control group gained a mean of 7.8 lbs. with a standard deviation of 15.4 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.)

Answers

  1. a)The percent of women in the active group were at or below their pre-pregnancy weight at 12 months postpartum is 0.7794
    b) The probability that a control group woman was at or below her pre-pregnancy weight at 12 months is 0.5520
    What is Percent and Probability?
    A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
    A ratio or value that may be stated as a fraction of 100 is called a percentage.
    a) Given,
    mean = 0.2
    standard deviation = 15.4
    P(X < 12) = P((x-u)/s < (12 – 0.2)/15.4)
    = P(z < 0.77)
    = 0.77935 [since from z table]
    = 0.7794
    b) Given that,
    in the active group, the percentage of women with weight above no more than 2lbs is
    =P(X<2)=P(Z<2-(-2)/15.4)
    =P(Z<0.2597)
    =0.6025
    hence the % of the GDM women in the program will be expected to be no more that 2lbs, above their pre-pregnancy weight
    = 0.8 x 0.6025+0.2 x 0.3499
    =0.5520
    a) At 12 months postpartum, 0.7794 of the women in the active group were at or under their pre-pregnancy weight.
    b) A control group participant’s likelihood of being at or below her pre-pregnancy weight at 12 months is 0.5520.
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