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
Math   Statistics-And-Probability   
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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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