A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below.   Time 17 30 9 16 23 22 20 18 Money 76 95 21 51 65 83 74 73   Find the correlation coefficient:  r=r=    Round to 2 decimal places. The null and alternative hypotheses for correlation are: `H0: ` ? r ρ μ  == 0 `Ha:` ? ρ μ r   ≠≠ 0     The p-value is:    (Round to four decimal places) 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.

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A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below.

 

Time 17 30 9 16 23 22 20 18
Money 76 95 21 51 65 83 74 73

 

  1. Find the correlation coefficient:  r=r=    Round to 2 decimal places.
  2. The null and alternative hypotheses for correlation are:
    `H0: ` ? r ρ μ  == 0
    `Ha:` ? ρ μ 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.
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