Question

In: Statistics and Probability

The maximum weights​ (in kilograms) for which one repetition of a​ half-squat can be performed and...

The maximum weights​ (in kilograms) for which one repetition of a​ half-squat can be performed and the jump heights​ (in centimeters) for 12 international soccer players are given in the accompanying table. The correlation​ coefficient, rounded to three decimal​ places, is r=0.785. At alphaequals 0.05​, is there enough evidence to conclude that there is a significant linear correlation between the​ variables?

Max weight = 190 185 155 180 175  170  150  160 160  180  190  210

Max height= 61 56 54 61 57 63 51 51 49 57 58 65

  1. Setup the hypothesis for the test.
  2. Identify the critical​ value(s). Select the correct choice below and fill in any answer boxes within your choice

The critical value is ____

Or

The critical values are -t0=____ &t0=____

  1. Calculate the test statistic.

T=_____(Round to three decimal places as​ needed)

  1. What is your​ conclusion?

There ____(is or is not) enough evidence at the 5​% level of significance to conclude that there____ (is is not) a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.

Solutions

Expert Solution


orchestra answered 2 years ago
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