Question

A sample of 30 took an exam. After taking the exam, their mean score on a...

A sample of 30 took an exam. After taking the exam, their mean score on a standardized exam was 110. Did the sample who took the exam do significantly better than the national mean of 100 with a standard deviation of 7?

a.

z for an individual score

b.

z for a sample mean

c.

single sample t

d.

related samples t

e.

independent samples t

f.

one-way ANOVA

g.

two-way ANOVA

h.

Correlation

Homework Answers

Answer #1

Answer. b - z for a sample mean

Explanation:

Let X denote the score in an exam such that X is Normal with Population Mean and Population Standard Deviation .

We have sample of n = 30 students with sample mean score so we set up Null and Alternative Hypothesis respectively below:

    

Test Statistics: Under Ho,

Since, Z= 7.82 > Z_critical = 1.645 at alpha = 0.05 so we reject Ho at 5% level of significance and conclude that

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