What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below.   Time 6 1 16 12 2 1 16 1 Score 72 51 87 72 60 63 100 48   Find the correlation coefficient:  r=r=    Round to 2 decimal place

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What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below.

 

Time 6 1 16 12 2 1 16 1
Score 72 51 87 72 60 63 100 48

 

  1. Find the correlation coefficient:  r=r=    Round to 2 decimal places.
  2. The null and alternative hypotheses for correlation are:
    `H0: ` ? r μ ρ  == 0
    `Ha:` ? μ ρ r   ≠≠ 0    
    The p-value is:    (Round to four decimal places)









  3. Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study.
    • There is statistically insignificant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the use of the regression line is not appropriate.
    • There is statistically significant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying.
    • There is statistically significant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the regression line is useful.
    • There is statistically insignificant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying.
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