Description
Deliverable Length: Write a two page paper highlighting what you learned from reading this chapter 7 & 8. Paper must be in your own words.
ALSO Define the following key terms in PARAGRAPH form:
Binomial Distribution Normal Probability Distribution
Central Limit Theorem Statistic Inference
Chi- Square Distribution t- Distribution
Degrees of Freedom z-Scores
F- Distribution
Explanation & Answer
Attached. Please let me know if you have any questions or need revisions.
1
Normal Curve and Sampling Distributions and Parameter Estimation and Confidence
Intervals
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Normal Curve and Sampling Distributions
Normal curves are significantly associated with sampling distributions, and they are
significant determinants in sample selection. Investigating and learning about the normal curve
trends in terms of behavior is instrumental since this determines the nature of the distribution.
Identifying the curve is mainly done by checking the population mean and the corresponding
sampling distribution (Groebner et al., 2013). The positioning of the mean and standard deviation
on the normal curve illustrates the skewness of the distribution, hence determining whether the
population under study follows the normal distribution or not (Groebner et al., 2013). The
skewness values less than one usually implies that the distribution is not normally distributed,
and it is negatively skewed (Kim, 2013). Alternatively, when the skewness measures are more
than one, the population is normally distributed and is skewed appropriately on the Gaussian
curve.
The changes in the population mean implies that there will be a corresponding change in
the location of the distribution, hence determining whether it is normal or not. The timely
changes in the standard deviation of the selected population also significantly affect the
distribution since it determines whether the distribution is scattered or not (Kim, 2013). The
distribution's scattering determines whether it is still bell-shaped or not, but the area under the
curve remains the same. Still, the contents may change based on the values of standard deviation,
and the population means. The significant effects of the population mean and standard deviation
implies that they cannot be used in most cases. However, in most research studies, the
identification and determination of the actual population are not easy. This makes the researchers
select a representative sample to enhance more straightforward analysis (Groebner et al., 2013).
The selection is made because it's complicated determining the actual population mean and
standard deviation. The estimation of the sample population ...
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