Excel Homework: 570 Pts Possible Module Week 6 Assignment

Excel Homework 570 Pts Possiblemoduleweek 6s Assignment Has Two Pa

Construct a confidence interval for the population mean based on sample data; test a hypothesis about the same sample in comparison to a known population.

Paper For Above instruction

The objective of this assignment is to develop proficiency in constructing confidence intervals and conducting hypothesis tests in Excel, particularly when the population parameters are known. This encompasses understanding how to use sample data to estimate a population parameter with a specified confidence level and to perform statistical hypothesis tests to evaluate claims about the population mean, in this case related to student exercise habits and myths surrounding weight gain in college freshmen.

The research scenario involves a health psychologist investigating whether freshmen exercise less than the general college student population. The population mean exercise minutes per week (μ) is known to be 100, with a standard deviation (σ) of 25. A sample of 50 freshmen students was surveyed, and their exercise minutes recorded.

Part One focuses on constructing a 95% confidence interval for the population mean using the sample data. First, input relevant data: sample size (N = 50), population standard deviation (σ = 25), and sample mean calculated via the AVERAGE function from the raw data. Determine the alpha level (0.05 for a 95% confidence level), then employ the CONFIDENCE function in Excel to compute the margin of error. Using this, establish the lower and upper bounds of the confidence interval. Once calculated, interpret the interval to determine whether it provides evidence that freshmen exercise less than the general population.

Part Two involves testing a hypothesis regarding the same sample data. The null hypothesis (H0) posits that the average exercise time for freshmen is equal to the population mean (μ = 100), while the alternative hypothesis (H1) suggests that freshmen exercise less than the population mean (μ

Further steps include entering known values (N, μ, σ), calculating the standard error of the mean (σM), and computing the sample mean in Excel. The significance level (α = 0.05) should be specified, after which the critical Z value corresponding to the one-tailed test is found using the NORMSINV function. Compute the Z score for the sample data, then the p-value associated with this Z score via NORMSDIST. Finally, interpret whether the statistical evidence supports the hypothesis that freshmen exercise less than the general student population, based on the p-value and critical Z value.

All calculations and answers are to be entered into the provided Excel file “Data Set 5,” and the lab report or interpretations should be answered in the designated sections of the file. This exercise aims to familiarize students with Excel functions for confidence intervals and hypothesis testing, along with appropriate interpretation of statistical results within a real-world research context, such as public health or behavioral sciences.

References

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  • Newbold, P., Carlson, W. L., & Thorne, B. (2014). Statistics for Business and Economics. Pearson.

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