Darts A student interested in improving her dart-throwingtechnique designs an experiment to test 4 differentstances to see whether they affect her accuracy. Afterwarming up for several minutes, she randomizes theorder of the 4 stances, throws a dart at a target using each stance, and measures the distance of the dart in centime-ters from the center of the bull’s-eye. She replicates this procedure 10 times. After analyzing the data she reportsthat the F-ratio is 1.41.a) What are the null and alternative hypotheses?b) How many degrees of freedom does the treatmentsum of squares have? How about the error sumof squares?c) What would you conclude?d) What else about the data would you like to see in orderto check the assumptions and conditions?e) If your conclusion in part c is wrong, what type oferror have you made?
Darts A student interested in improving her dart-throwingtechnique designs an experiment to test 4 differentstances to see whether they affect her accuracy. Afterwarming up for several minutes, she randomizes theorder of the 4 stances, throws a dart at a target using each stance, and measures the distance of the dart in centime-ters from the center of the bull’s-eye. She replicates this procedure 10 times. After analyzing the data she reportsthat the F-ratio is 1.41.a) What are the null and alternative hypotheses?b) How many degrees of freedom does the treatmentsum of squares have? How about the error sumof squares?c) What would you conclude?d) What else about the data would you like to see in orderto check the assumptions and conditions?e) If your conclusion in part c is wrong, what type oferror have you made?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 14PPS
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Darts A student interested in improving her dart-throwing
technique designs an experiment to test 4 different
stances to see whether they affect her accuracy. After
warming up for several minutes, she randomizes the
order of the 4 stances, throws a dart at a target using each
technique designs an experiment to test 4 different
stances to see whether they affect her accuracy. After
warming up for several minutes, she randomizes the
order of the 4 stances, throws a dart at a target using each
stance, and measures the distance of the dart in centime-
ters from the center of the bull’s-eye. She replicates this
ters from the center of the bull’s-eye. She replicates this
procedure 10 times. After analyzing the data she reports
that the F-ratio is 1.41.
a) What are the null and alternative hypotheses?
b) How many degrees of freedom does the treatment
sum of squares have? How about the error sum
of squares?
c) What would you conclude?
d) What else about the data would you like to see in order
to check the assumptions and conditions?
e) If your conclusion in part c is wrong, what type of
error have you made?
that the F-ratio is 1.41.
a) What are the null and alternative hypotheses?
b) How many degrees of freedom does the treatment
sum of squares have? How about the error sum
of squares?
c) What would you conclude?
d) What else about the data would you like to see in order
to check the assumptions and conditions?
e) If your conclusion in part c is wrong, what type of
error have you made?
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