MATH 225 Week 7 Assignment: Lab

MATH 225 Week 7 Assignment: Lab

Name

Chamberlain University

MATH-225 Statistical Reasoning for the Health Sciences

Prof. Name

Date

Sampling Methods

The sampling method employed for the Week 5 lab assignment to collect height data was convenience sampling. This non-random sampling technique relies on data or samples that are easily accessible. However, convenience sampling can introduce bias, favoring certain outcomes over others. A significant limitation of this method is that a convenience sample does not adequately represent the entire population, potentially leading to systemic bias. Alternatively, systematic sampling could have been utilized to gather the data. Systematic sampling is a straightforward method in which the researcher randomly selects a starting point and subsequently collects every nth data point from the population. This approach is considered true random sampling and offers a better representation of the overall population.

Statistical Analysis

The following statistical data summarizes the findings from the collected height data:

A point estimate is the process of determining an approximate value of a parameter, such as the mean or average of a population derived from random samples. In this analysis, the point estimate for the height data is 66.1 (Encyclopedia Britannica, 2019).

Confidence Intervals

To calculate the confidence intervals for the true mean height of individuals at my workplace, the confidence interval is defined as a range of values that indicates the probability that the parameter lies within it. For the height data collected, the confidence interval’s lower limit is 65.1 inches, while the upper limit is 67.1 inches.

A practical interpretation of this interval indicates that I am 95% confident the true mean height of all employees in my company falls between 65 inches and 67 inches. When evaluating a 99% confidence interval for the same data, the following statistics were obtained:

The margin of error for the 99% confidence interval is larger than that of the 95% confidence interval, indicating greater uncertainty. This wider range suggests that the true population mean is more likely to be included within this interval, while the 95% confidence interval carries a 5% chance that the population mean lies outside it.

References

Encyclopedia Britannica. (2019). Point Estimate. Retrieved from Encyclopedia Britannica

MATH 225 Week 7 Assignment: Lab