Researchers are examining the relationship between hours of sleep and athletic performance among college athletes. Athletic performance will be measured on a numeric scale, with greater numbers indicating better performance. The researchers expect that the more hours the athletes sleep, the better they will perform. Assuming all conditions for inference are met, the researchers will create a 95 percent confidence interval for the slope of the regression line for predicting athletic performance from amount of sleep. For which of the following would the confidence interval support the researchers' expectations? (A) The confidence interval includes only positive values. (B) The confidence interval includes only negative values. (C) The confidence interval has a width less than 1. (D) The confidence interval has a width greater than 1. (E) The confidence interval includes the value 0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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Researchers are examining the relationship between hours of sleep and athletic performance among college athletes.
Athletic performance will be measured on a numeric scale, with greater numbers indicating better performance. The
researchers expect that the more hours the athletes sleep, the better they will perform. Assuming all conditions for
inference are met, the researchers will create a 95 percent confidence interval for the slope of the regression line for
predicting athletic performance from amount of sleep.
For which of the following would the confidence interval support the researchers' expectations?
(A) The confidence interval includes only positive values.
(B) The confidence interval includes only negative values.
(C) The confidence interval has a width less than 1.
(D) The confidence interval has a width greater than 1.
(E) The confidence interval includes the value 0.
Transcribed Image Text:Researchers are examining the relationship between hours of sleep and athletic performance among college athletes. Athletic performance will be measured on a numeric scale, with greater numbers indicating better performance. The researchers expect that the more hours the athletes sleep, the better they will perform. Assuming all conditions for inference are met, the researchers will create a 95 percent confidence interval for the slope of the regression line for predicting athletic performance from amount of sleep. For which of the following would the confidence interval support the researchers' expectations? (A) The confidence interval includes only positive values. (B) The confidence interval includes only negative values. (C) The confidence interval has a width less than 1. (D) The confidence interval has a width greater than 1. (E) The confidence interval includes the value 0.
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