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The run times for 20 participants at a local 5K race was x ̅=29.2 min with...

The run times for 20 participants at a local 5K race was x ̅=29.2 min with a standard deviation of s=5.67. Is there evidence that the true mean run time for all of the participants is below 30 minutes? A dotplot of the sample data appears to be symmetric with no outliers.

Math   Statistics-And-Probability   
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Answer #1

since test statistic does not falls in rejection region we fail to reject null hypothesis
we do not have have sufficient evidence to conclude that true mean run time for all of the participants is below 30 minutes
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