Question

The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate...

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.

x   400 760 770 810 850 1035 1210 1260 1290 1410 1475 1480 1505 2200
y   3.80 4.10 4.80 5.30 3.90 3.40 6.40 6.88 7.55 4.95 7.70 4.45 6.70 8.90

Sxx = 2,614,773.214, Syy = 38.2727, Sxy = 7544.396. 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

α = 0.05.)


State the appropriate null and alternative hypotheses.

H0: ρ = 0
Ha: ρ ≠ 0 H0: ρ ≠ 0
Ha: ρ = 0     H0: ρ = 0
Ha: ρ > 0 H0: ρ = 0
Ha: ρ < 0


Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places.
r =

Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)

t =
P-value =



State the conclusion in the problem context.

Fail to reject H0. A positive correlation does not exist between maximum lactate level and muscular endurance. Fail to reject H0. A positive correlation exists between maximum lactate level and muscular endurance.     Reject H0. A positive correlation does not exist between maximum lactate level and muscular endurance. Reject H0. A positive correlation exists between maximum lactate level and muscular endurance.

Homework Answers

Answer #1

State the appropriate null and alternative hypotheses.

Ha: ρ = 0     H0: ρ = 0

test staistic 3.978248352
P value==TDIST(3.98,12,1) 0.00092

Reject H0. A positive correlation exists between maximum lactate level and muscular endurance.

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