A claim is made that there is a high variation among ages of subscribers of an New York Times podcast.Specifically, the claim is that the standard deviation is more than 10 years.Because the organization making the claim has some hesitancy, they decide to make the claim with a significance of 20% (setting the bar pretty low).

So a random sampling of 15 of these podcast subscribers is taken.The standard deviation is 13.7 years, and the average agewas 43 years old.

Complete the sentence correctly:

There is sufficient evidence to support the claim because...

Group of answer choices

... the probability of the sample standard deviation of 15 subscribers being 13.7 in a population where the standard deviation was actually 10 works out to 0.024, which is less than the significance of 0.2.

... the probability of the sample standard deviation of 15 subscribers being 10 in a population where the standard deviation was actually 13.7 works out to 0.024, which is less than the significance of 0.2.

... the probability of the sample standard deviation of 15 subscribers being 13.7 in a population where the standard deviation was actually 10 works out to 0.097, which is less than the significance of 0.2.

... the probability of the sample standard deviation of 15 subscribers being 10 in a population where the standard deviation was actually 13.7 works out to 0.097, which is less than the significance of 0.2.

... the probability of the sample standard deviation of 15 subscribers being 13.7 in a population where the standard deviation was actually 10 works out to 0.178, which is less than the significance of 0.2.

... the probability of the sample standard deviation of 15 subscribers being 10 in a population where the standard deviation was actually 13.7 works out to 0.178, which is less than the significance of 0.2.