The z-score can be thought of as the distance the sample


Question 1:

To visualize a sample's frequency distribution, we can create a Histogram, which involves grouping observations into bins, counting the number of occurrences in each, and then charting the results.
True
False

Question 2:

The area under the curve between the mean value and a point 2 standard deviations away is identical for all normal distributions.
True
False

Question 3:

Using the Normal Distribution, approximately 2.5% of all observations fall below μ - 2σ.
True
False

Question 4:

The larger the sample size, the more likely x-bar will be close to μ.

True
False

Question 5:

In conducting hypothesis tests related to random samples, we often use Z-Scores to determine if we should reject the null hypothesis. The Z-Score can be thought of as the distance the sample statistic is from the hypothesized population parameter measured by the number of standard errors.

True
False

Question 6:

Which of the following is not a measure of dispersion?
variance
Expected Value
Range
Standard Deviation
The difference between the First and Third Quartiles values in the sample.

Question 7:

Which of the following is not expressed in the same measurement units as the data?
Mean
Expected Value
Median
Standard Deviation
Variance

Question 8:

Which statement is false?
The objective of a Hypothesis test is to prove the null hypotheses.

The mean of a distribution is also a weighted average.
Confidence intervals help us estimate 'true' population parameters
A histogram is a picture of the frequency distribution of a sample

Question 9:
In Excel, the function call: =NORM.DIST(10,505,1) will provide:

- The probability associated with values above 10 from a Normal Distribution with a mean of SO and a standard deviation of S.
- The probability associated with values below 10 from a Normal Distribution with a mean of SO and a standard deviation of S.
- The probability associated with values below 50 from a Normal Distribution with a mean of 10 and a standard deviation of S.
- The probability associated with values above 50 from a Normal Distribution with a mean of 10 and a standard deviation of S.

Question 10:

Each of the following mathematical symbols below will be used in the course. Which one of the symbols would normally be used to denote a statistic?

  • S
  • μ
  • σ2
  • σ

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Mathematics: The z-score can be thought of as the distance the sample
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