Question

Please help me! And answer answers A through F! Thank you in advance.

Chapter 3, Section 3, Exercise 087 Brain Hippocampal Size A recent study examined the relationship between football playing and hippocampal volume, in PL, in the brain. We use the n = 25 participants in the control group to estimate average brain hippocampus volume for all non-football playing people. Use the dotplats in the figure below to answer the following questions. . 6000 6500 . . . 7000 7500 . . 8000 8500 9000 9500 10000 od 7000 7200 7400 7600 7800 8000 8200 Dotplot I Dotplot II Singh R, et al., "Relationship of Collegiate Football Experience and Concussion with Hippocampal Volume and Cognitive Outcomes", JAMA, 311(18), 2014. Data values are estimated from information in the paper. (a) Twa dotplots are shown: one shows the original data and one shows a bootstrap distribution from the data. Which is which? The original data is shown in Dotplot The bootstrap distribution is shown in Dotplot II

Answer 1

(a) original data is shown in Dot plot I

bootstrap distribution is shown inf Dot plot II

Bootstrapping is a type of resampling where large numbers of smaller samples of the same size are repeatedly drawn, with replacement, from a single original sample.

(b) sample mean notations is $\bar{x}$

(c) sample mean=7600 ( this has high frequency and long dots)

(d) standard error=sigma/sqrt(n)=200/sqrt(25)=40

(f) 95% confidence interval

=mean$\pm$z(0.95)*SE(mean)

=7600$\pm$1.96*40

=7600$\pm$78.4

=(7521.6,7678.4)

= (7522, 7678)