Answer Happy

The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and muscular endurance y. The accompanying data was read from a plot in the paper. х 410 740 780 790 840 1,035 1,190 1,240 1,290 1,390 1,485 1,490 1,515 2,210 у 3.70 3.90 5.00 5.10 3.90 3.60 6.40 6.98 7.65 4.85 7.90 4.55 6.50 8.80 S ху Sxx = 2,656,430.357, Syy = 38.7387, SX = 7,649.832. A scatter plot shows a linear pattern. (a) Test to see whether there is a positive correlation between maximal lactate level and muscular endurance in the population from which this data was selected. (Use a = 0.05.) State the appropriate null and alternative hypotheses. O Ho: P = 0 Hipo OHO:P70 Hp = 0 O Ho: p = 0 Hp < 0 O Ho: p = 0 Ha:p> Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.) r = 0.763 x Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = 4.0 P-value = 0.001