A collegiate long jumper is hoping to improve his distance with a new conditioning routine. The new routine should allow him to jump further than in the past. Prior to the new program the jumper was averaging 24.5 feet per jump. After the routine is finished, he jumps a serie of practice jumps over the course of a week. His new average is 25.4 feet with a standard deviation of 1.26 feet. At a 5% level of significance, do the sample results give evidence tha he has actually increased his average jumping distance? Given n Sample Mean sample SD Alpha Critical Value TINV(1-alpha,df) Numerator Hypothesis Test Ho Ha Hypo Mean -C9-F11 (1 tail, r tail)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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A collegiate long jumper is hoping to improve his distance with a new conditioning routine.
The new routine should allow him to jump further than in the past. Prior to the new program,
the jumper was averaging 24.5 feet per jump. After the routine is finished, he jumps a series
of practice jumps over the course of a week. His new average is 25.4 feet with a standard
deviation of 1.26 feet. At a 5% level of significance, do the sample results give evidence that
he has actually increased his average jumping distance?
Conclusion:
Given
n
Sample Mean
sample SD
Alpha
Critical Value
Test Statistic
Alpha
P.Value
Critical Value
P-Value
=T.INV(1-alpha,df)
Numerator
Standard Error
One-Tail Left
=T.INV(alpha,df)
=T.DIST.RT(TS.df)
Sample Means (t-distribution)
One-Tail Right
=T.INV(1-alpha,df)
=T.DIST(TS,df, TRUE) =T.DIST.RT(TS,df)
Hypothesis Test
Ho
Ha
Hypo Mean
-C9-F11
-F12/sqrt(F10)
Two Tail
=T.INV.2T(alpha,df)
=T.DIST.2T(TS,df)
(1 tail, r tail)
Transcribed Image Text:A collegiate long jumper is hoping to improve his distance with a new conditioning routine. The new routine should allow him to jump further than in the past. Prior to the new program, the jumper was averaging 24.5 feet per jump. After the routine is finished, he jumps a series of practice jumps over the course of a week. His new average is 25.4 feet with a standard deviation of 1.26 feet. At a 5% level of significance, do the sample results give evidence that he has actually increased his average jumping distance? Conclusion: Given n Sample Mean sample SD Alpha Critical Value Test Statistic Alpha P.Value Critical Value P-Value =T.INV(1-alpha,df) Numerator Standard Error One-Tail Left =T.INV(alpha,df) =T.DIST.RT(TS.df) Sample Means (t-distribution) One-Tail Right =T.INV(1-alpha,df) =T.DIST(TS,df, TRUE) =T.DIST.RT(TS,df) Hypothesis Test Ho Ha Hypo Mean -C9-F11 -F12/sqrt(F10) Two Tail =T.INV.2T(alpha,df) =T.DIST.2T(TS,df) (1 tail, r tail)
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