Pennsylvanla Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 13 stations last Tuesday, the correlation was 0.73. The company would like to test the hypothesis that the correlation between price and number of gallons sold is positive. a. State the decision rule for 0.025 significance level. (Round your answer to 3 declmal places.) Reject Ho if t> b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic is c. Can we conclude that the correlation in the population is greater than zero? Use the 0.025 significance level. Ho We conclude that the correlation in the population is zero.

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B. Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? 30.87 50.30 92.17 94.28 63.84 105.63 Bill (dollars) Tip (dollars) 5.90 7.08 14.83 18.07 7.93 20.08 Construct a scatterplot. Choose the correct graph below. OA. O B. C. O D. 25- 25- 25- 25- 120 120 30 Bill Amount ($) 120 30 120 30 30 Bill Amount ($) Bill Amount ($) Bill Amount ($) The linear correlation coefficient is r = (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho:p(1)– H1:p(2) – (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to…

Statistics Question

You wish to determine if there is a positive 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 66 20 75 32 44 31 44 36 19 23 65 29 61 22 58 25 71 27   Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient    r =  Find the p-value   p-value =

Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.01. If everyone were to tip with the same​ percentage, what should be the value of​ r?   Bill​ (dollars) 34.14 47.51 85.27 88.36 66.73 105.33   Tip​ (dollars) 3.51 5.55 16.44 17.42 6.69 13.97

You wish to determine if there is a positive 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 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 64 32 55 30 72 36 34 30 31 18 16 29 21 22 32 18 46 24 46 31   Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient    r =  Find the p-value   p-value =    The p-value is Greater than αα Less than (or equal to) αα   The p-value leads to a decision to Do Not Reject Ho Reject Ho Accept Ho   The conclusion is  There is a significant linear correlation between driver age and number of driver deaths. There is a significant negative 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…

instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 63.9 68.4 | 69 | 96 64.3 | 63.9 65 69 62.7 68.4 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ou + 65 Ομ 65 B. State the mean of the sample: C. State the standard error of the sample means:

The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of α = 0.01. Click the icon to view the ages of the award winners. 70- 20- 20 70 Best Actress (years) 20- 20 70 Best Actress (years) The linear correlation coefficient is r= -0.248. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. = 0 Ho: P H₁:p # 0 (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) ... 70- 20- al 20 70 Best Actress (years) Best Actor (years) 60 70- H HHHH HE 20- 20 Best Actress (years) 70 S 3

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 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 22 20 53 25 19 30 35 23 71 26 36 21 48 25 19 28   Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient    r =  Find the p-value   p-value =    The p-value is Greater than αα Less than (or equal to) αα   The p-value leads to a decision to Accept Ho Do Not Reject Ho Reject Ho   The conclusion is  There is a significant linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a conclusion about the 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.…