Several studies have shown a link between iron depletion without anemia (IDNA) a

Question

Several studies have shown a link between iron depletion without anemia (IDNA) and physical performance. In one recent study, the physical performance of 24 female collegiate rowers with IDNA was compared with 24 female collegiate rowers with normal iron status. Several different measures of physical performance were studied, but we'll focus here on training-session duration. Assume that training-session duration of female rowers with IDNA is normally distributed with mean 57 minutes and standard deviation 11 minutes. Training-session duration of female rowers with normal iron status is normally distributed with mean 67 minutes and standard deviation 18 minutes.

(a) What is the probability that the mean duration of the 24 rowers with IDNA exceeds 62 minutes? 0.327 Incorrect: Your answer is incorrect.

(b) What is the probability that the mean duration of the 24 rowers with normal iron status is less than 62 minutes? 0.3935 Incorrect: Your answer is incorrect.

(c) What is the probability that the mean duration of the 24 rowers with IDNA is greater than the mean duration of the 24 rowers with normal iron status?

Explanation / Answer

a) std error =std deviaiton/(n)1/2 =11/(24)1/2 =2.2454

hence  probability that the mean duration of the 24 rowers with IDNA exceeds 62 minutes =P(X>62)

=P(Z>(62-57)/2.2454)=P(Z>2.2268)=0.0130

b)  std error =std deviaiton/(n)1/2 =18/(24)1/2 =3.6742

probability that the mean duration of the 24 rowers with normal iron status is less than 62 minutes =P(X<62)

=P(Z<-1.3608)=0.0868

c)

std error of diffenence=(112/24+182/24)1/2 =4.306

mean difference =57-67 =-10

hence  probability that the mean duration of the 24 rowers with IDNA is greater than the mean duration of the 24 rowers with normal iron status =P(Z>(0-(-10)/4.306)=P(Z>2.3223)=0.0101

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.