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)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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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