Math Problem Statement
A farming company wants to know if a new fertilizer has improved crop yield or not. Historic data shows the average yield of the farm is 20 tonne per acre. They decide to test a new organic fertilizer on a smaller sample of farms and observe the new yield is 20.175 tonne per acre with a standard deviation of 3.02 tonne for 12 different farms. Did the new fertilizer work?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
One-sample t-test
Statistical Significance
Formulas
t-test formula: t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))
Theorems
-
Suitable Grade Level
Advanced College Level
Related Recommendation
Hypothesis Testing and Confidence Interval: Catalyst Mean Yields Comparison
Two-Sample t-Test for Mean Returns in Economics: Hypothesis Testing
Hypothesis Testing: Is the Population Mean Greater than 100?
Hypothesis Testing for Supermarket Expansion Based on Income Data
Nonpooled t-Test and Confidence Interval: Detailed Analysis