A reading specialist at Pleasantville High School suspects that there is a difference in the average reading speed between senior boys and senior girls at the high school. To test her claim, random samples of 25 senior boys and 25 senior girls were selected. The reading speed of each student was measured. The reading specialist uses the data obtained to test the hypotheses Ho: boys -girls = 0 versus Ha: μboys -μgirls 0 where boys and girls are the true mean reading speed of all seniors boys and girls at Pleasantville High School. Which of the following statements best describes a Type I error? (A) The reading specialist finds evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is a difference in the average reading speed between senior boys and senior girls. (B) The reading specialist fails to find evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is a difference in the average reading speed between senior boys and senior girls. (C) The reading specialist fails to find evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is no difference in the average reading speed between senior boys and senior girls. (D) The reading specialist finds evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is no difference in the average reading speed between senior boys and senior girls. (E) The reading specialist finds evidence there is a difference in the average reading speed between senior boys and senior girls at the high school.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A reading specialist at Pleasantville High School suspects that there is a difference in the average
reading speed between senior boys and senior girls at the high school. To test her claim, random
samples of 25 senior boys and 25 senior girls were selected. The reading speed of each student was
measured. The reading specialist uses the data obtained to test the hypotheses Ho: boys -girls = 0
versus Ha: μboys -μgirls 0 where boys and girls are the true mean reading speed of all seniors boys
and girls at Pleasantville High School.
Which of the following statements best describes a Type I error?
(A) The reading specialist finds evidence there is a difference in the average reading speed between
senior boys and senior girls at the high school when, in fact, there is a difference in the average
reading speed between senior boys and senior girls.
(B) The reading specialist fails to find evidence there is a difference in the average reading speed
between senior boys and senior girls at the high school when, in fact, there is a difference in the
average reading speed between senior boys and senior girls.
(C) The reading specialist fails to find evidence there is a difference in the average reading speed
between senior boys and senior girls at the high school when, in fact, there is no difference in the
average reading speed between senior boys and senior girls.
(D) The reading specialist finds evidence there is a difference in the average reading speed between
senior boys and senior girls at the high school when, in fact, there is no difference in the average
reading speed between senior boys and senior girls.
(E) The reading specialist finds evidence there is a difference in the average reading speed between
senior boys and senior girls at the high school.
Transcribed Image Text:A reading specialist at Pleasantville High School suspects that there is a difference in the average reading speed between senior boys and senior girls at the high school. To test her claim, random samples of 25 senior boys and 25 senior girls were selected. The reading speed of each student was measured. The reading specialist uses the data obtained to test the hypotheses Ho: boys -girls = 0 versus Ha: μboys -μgirls 0 where boys and girls are the true mean reading speed of all seniors boys and girls at Pleasantville High School. Which of the following statements best describes a Type I error? (A) The reading specialist finds evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is a difference in the average reading speed between senior boys and senior girls. (B) The reading specialist fails to find evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is a difference in the average reading speed between senior boys and senior girls. (C) The reading specialist fails to find evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is no difference in the average reading speed between senior boys and senior girls. (D) The reading specialist finds evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is no difference in the average reading speed between senior boys and senior girls. (E) The reading specialist finds evidence there is a difference in the average reading speed between senior boys and senior girls at the high school.
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