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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