Female college student participation in athletics has increased dramatically over the past few decades. Sports medicine providers are aware of some unique health concerns of athletic women, including disordered eating. A study compared disordered-eating symptoms and their causes for collegiate female athletes (in lean and nonlean sports) and nonathletes. The sample mean of the body dissatisfaction assessment score was 13.1 (s=8.1) for 17 lean sports athletes (those sports that place value on leanness, including distance running, swimming, and gymnastics) and 7.4 (s = 5.9) for the 69 nonlean athletes. Assume equal population standard deviations. Complete parts a and b below. G a. Find the standard error for comparing the means. se = 1.727 (Round to three decimal places as needed.) b. Construct a 95% confidence interval for the difference between the mean body dissatisfaction for lean sport athletes and nonlean sport athletes. Interpret. The 95% confidence interval is (2.2658, 9.1342). (Round to two decimal places as needed.)

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Question 7, 10.2.33

Female college student participation in athletics has increased dramatically over the past few decades. Sports medicine providers are aware of some unique health concerns of athletic women,
including disordered eating. A study compared disordered-eating symptoms and their causes for collegiate female athletes (in lean and nonlean sports) and nonathletes. The sample mean of the
body dissatisfaction assessment score was 13.1 (s = 8.1) for 17 lean sports athletes (those sports that place value on leanness, including distance running, swimming, and gymnastics) and 7.4
(s = 5.9) for the 69 nonlean athletes. Assume equal population standard deviations. Complete parts a and b below.
a. Find the standard error for comparing the means.
se = 1.727 (Round to three decimal places as needed.)
b. Construct a 95% confidence interval for the difference between the mean body dissatisfaction for lean sport athletes and nonlean sport athletes. Interpret.
The 95% confidence interval is (2.2658, 9.1342
(Round to two decimal places as needed.)
Transcribed Image Text:Female college student participation in athletics has increased dramatically over the past few decades. Sports medicine providers are aware of some unique health concerns of athletic women, including disordered eating. A study compared disordered-eating symptoms and their causes for collegiate female athletes (in lean and nonlean sports) and nonathletes. The sample mean of the body dissatisfaction assessment score was 13.1 (s = 8.1) for 17 lean sports athletes (those sports that place value on leanness, including distance running, swimming, and gymnastics) and 7.4 (s = 5.9) for the 69 nonlean athletes. Assume equal population standard deviations. Complete parts a and b below. a. Find the standard error for comparing the means. se = 1.727 (Round to three decimal places as needed.) b. Construct a 95% confidence interval for the difference between the mean body dissatisfaction for lean sport athletes and nonlean sport athletes. Interpret. The 95% confidence interval is (2.2658, 9.1342 (Round to two decimal places as needed.)
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