Question

A researcher conducts a survey on a random sample of 500 high school students to study the relationship between the amount of sleep and academic performance. Describe how you would analyze this survey data.

Answer 1

To analyze the survey data on the relationship between sleep and academic performance, you can compute averages, plot a scatter plot, perform correlation analysis, conduct hypothesis testing, and evaluate the results.

Step-by-step explanation:

To analyze the survey data on random sample of 500 high school students to study the relationship between the amount of sleep and academic performance of the high school students, you can perform the following steps:

1. Compute the average amount of sleep and academic performance for the surveyed students. This can be done by finding the mean (average) of the sleep hours and academic performance scores.
2. Plot a scatter plot using the sleep hours on the x-axis and academic performance scores on the y-axis. This will help visualize the relationship between the two variables.
3. Perform a correlation analysis to determine the strength and direction of the relationship between sleep and academic performance. This can be done by calculating the correlation coefficient, such as Pearson's correlation coefficient.
4. Conduct hypothesis testing to determine if there is a statistically significant relationship between sleep and academic performance. This can be done by performing a t-test or regression analysis.
5. Evaluate the results and draw conclusions based on the analysis. Determine if there is a significant relationship between sleep and academic performance, and if so, the nature of the relationship (positive, negative, or no relationship).