A study of 100 pet owners revealed that this group has an average heart rate (X

Question

A study of 100 pet owners revealed that this group has an average heart rate (X bar) of 70 beats per minute. By constructing confidence intervals (CI) around this sample mean a researcher discovered that the population mean of 72 was contained in the 99% CI but not in the 95% CI. This implies that:

Choose the correct answer between a, b, c, or d.

a. Pet owners differ from the population at the .05 level, but not at the .01 level.

b.  Pet owners differ from the population at the .01 level, but not at the .05 level.

c.  Pet owners differ from the population at both the .05 and the .01 level.

d.  Pet owners differ from the population at neither the .05 nor the .01 level.

Explanation / Answer

Since 99% CI contains the population mean of 72 so we cannot conclude that  Pet owners differ from the population at the .01 level.

Since 95% CI does not contain the population mean of 72 so we can conclude that  Pet owners differ from the population at the .05 level.

Hence, correct answer: (a)

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