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Is there a significant correlation between these two sets of numbers? Weight: 46, 55, 61, 75,...

Is there a significant correlation between these two sets of numbers? Weight: 46, 55, 61, 75, 64, 75, 71, 59, 64, 67 Time: 44, 27, 24, 24 36, 36, 44, 44, 120, 29

Math   Statistics-And-Probability   
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Answer #1

The null and alternate hypothesis are:

H0:

Ha:

From the data,

So, the sample correlation coefficient:

The test statistic is given by:

Since this is a two-tailed test, so the p-value is given by:

Since p-value is greater than 0.05, so we have sufficient evidence to reject the null hypothesis
H0 at 5% level of significance.

Thus we can say that i.e. there is no significant correlation between the two sets.

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