Using Correct Distribution. In Exercises 1–4, determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.
1.
Claim about IQ scores of statistics instructors: μ > 100. Sample data: n = 15,
=118, s = 11. The sample data appear to come from a normally distributed population with unknown μ and σ .
2.
Claim about FICO credit scores of adults: μ < 0.20="" in. ="" sample="" data:="" n="">
= 0.10 in, s = 0.26 in. The sample data appear to come from a population with a distribution that is not normal, and σ is unknown.
3.
Claim about daily rainfall amounts in Boston: μ < 0.20="" in. ="" sample="" data:="" n="">
= 0.10 in, s = 0.26 in. The sample data appear to come from a population with a distribution that is very far from normal, and σ is unknown.
4.
Claim about daily rainfall amounts in Boston: μ < 0.20="" in. ="" sample="" data:="" n="">
= 0.10 in, s = 0.26 in. The sample data appear to come from a population with a distribution that is very far from normal, and σ is known.