Find the correlation coefficient:  r=r=    Round to 2 decimal places. The null and alternative hypotheses for correlation are: H0:H0: ? μ r ρ  == 0 H1:H1: ? r μ ρ   ≠≠ 0     The p-value is:    (Round to four decimal places) r2r2 =  (Round to two decimal places)

Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is a significant negative linear correlation between advertising cost and profit . Use a significance level of 0.01 and round all values to 4 decimal places. Advertising Cost Profit 3 20 4 26 5 29 6 16 7 24 8 18 9 32 10 21   Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient    r =  Find the p-value   p-value =

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.

A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below.   Seeds Produced 55 49 67 70 46 68 41 54 Sprout Percent 48.5 64.5 45.5 41 59 49 67.5 48   Find the correlation coefficient:  r=r=    Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ r ρ  == 0H1:H1: ? μ ρ 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. There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. There is statistically significant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. There is statistically insignificant…

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 18 6 20 28 16 20 Money 50 55 37 79 97 60 76   Find the correlation coefficient:  r=r= Correct   Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ ρ r Correct == 0H1:H1: ? μ r ρ Correct  ≠≠ 0    The p-value is:  Correct  (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. There is statistically insignificant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of…

question attached

A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced Sprout Percent 45.5 65 53 62 48 44 65.5 51 58 66 42 64 62 56 Round to 2 decimal places. Find the correlation coefficient: r = The null and alternative hypotheses for correlation are: Ho: ? = 0 H₁: ? 0 The p-value is: (Round to four decimal places) Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. O There is statistically insignificant…

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 30 14 23 25 21 28 8 Money 127 80 98 123 77 106 32   Find the correlation coefficient:  r=r=    Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? ρ r μ  == 0H1:H1: ? r ρ μ   ≠≠ 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. There is statistically significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at…

You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 31 23 60 27 33 18 64 36 72 31 65 31   Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient    r =  Find the p-value   p-value =    The p-value is Less than (or equal to) αα Greater than αα   The p-value leads to a decision to Reject Ho Accept Ho Do Not Reject Ho   The conclusion is  There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths. There is a…

A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below.   Seeds Produced 65 51 59 66 42 62 61 69 65 Sprout Percent 64.5 65.5 64.5 49 72 61 50.5 54.5 50.5   Find the correlation coefficient:  r=r=    Round to 3 decimal places. The null and alternative hypotheses for correlation are:H0:H0:      == 0H1:H1:       ≠≠ 0    The p-value is:  ?  (Round to 5 decimal places) r2 = ? (Round to 3 decimal places)