Z-Test (2026) Questions & Complete
Solutions | 100% Correct | New Version
This "Portage Learning Statistics Module 4 The Z-Test: 49 Questions and Answers" is a
comprehensive study resource used to prepare for the course exam. It covers fundamental
normal curve probability, hypothesis testing, and calculating sample \(z\)-scores.
Exam Content & Key Concepts
The 49 questions primarily evaluate your understanding of the following concepts:
• The Normal Distribution: Questions often cover the 68-95-99.7 rule and how the
mean, median, and mode interact in a bell-shaped curve.
• Understanding Z-Scores: How to transform raw scores into standard \(z\)-scores.
The \(z\)-test formula for a sample mean is:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
• Hypothesis Testing Steps: The 4 steps of hypothesis testing are commonly tested:
1. State null and alternative hypotheses (\(H_{0}\) and \(H_{a}\)).
2. Determine critical values based on alpha levels and tails.
3. Compute the sample \(z\)-score.
4. Compare with the critical value to make a decision (Reject or Fail to Reject
\(H_{0}\)).
Study Resource
To test your knowledge and practice calculating probabilities on the
standard normal table, you can utilize this dedicated & curated,
downloadable pdf set for a small fee
Quiz_________________?
1
,A frequency distribution that follows a bell-shaped, symmetrical,
unimodal curve is known as the -
Answer
normal curve
Quiz_________________?
In a normal distribution, the mean is located in the -
Answer
middle of the curve
Quiz_________________?
In a normal distribution, what is the relationship between the mean,
median, and mode? -
Answer
Mean~=Median~=Mode
Mean = Median
Quiz_________________?
The further a value deviates from the mean, the ___ the frequency,
thus scores beyond 2 stand deviations from the mean rarely occur in
normal distribution -
2
, Answer
the lower the frequency
Quiz_________________?
Data with __ frequencies are clustered around the mean -
Answer
the greatest
Quiz_________________?
A distribution with a smaller standard deviation has a curve with a ___
-
Answer
higher arc
Quiz_________________?
A distribution with a larger standard deviation has a curve with a __ -
Answer
lower arc
3