Question

1. An honors calculus class with 25 students took an exam and their mean exam performance corresponded to a z-score of 1.8. What is the probability of this classes’ sample mean, or a higher sample mean, occuring due to sampling error?

	a.	0.0359
	b.	0.9641
	c.	0.05
	d.	0.3085

2. The History test had a national mean of µ = 52 and a standard deviation of σ = 9. Which is more likely to occur?

	a.	drawing a random sample of 27 students from the national population of high school students that has a mean equal to or greater than 55
	b.	drawing a random sample of 100 students from the national population of high school students that has a mean equal to or greater than 55

Answer 1

1) Option A

Using Excel Command

=1-normsdist(1.8)=1-0.96407=0.03593

2) Option A

The sample of 27 would be more likely to have a sample mean of 55 or higher because it is a smaller sample and thus have more sampling error.

z=(55-52)/(9/sqrt(27))=1.732

drawing a random sample of 27 students from the national population of high school students that has a mean equal to or greater than 55

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