A survey in 2015 asked respondents how many ice creams they have had since last week. For the 200 children in the sample between the ages of 13 and 16, the median

= 4 and mode = 2 (16.8% of the sample). Software summarizes other results:

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Variable n Mean StDev SE Mean 95.0% CI NUMCHILDREN 200 10.25 15.68 1.11 (8.07, 12.43)

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(a) Show how software got the standard error reported, and interpret.

(b) Interpret the reported confidence interval.

(c) State a statistical factor that might make you skeptical about the usefulness of this confidence interval.