STAT 2023 Assignment 10
Fall 2019
due by 10pm Monday, November 4
Inferences on the Population Mean, Population Variance Unknown, Lesson 15 The production of pasture grass for hay is an important agricultural product. A new type of grass, called Teff Grass is advertised to produce 2 ton of hay per acre on the first cutting. Twenty-five test plots of this new grass resulted in average production of 1.92 ton per acre on the first cutting with a standard deviation of 0.40 ton. Assume that the production of hay is a normally distributed random variable, which is a necessary assumption with this small sample. 1. What is the parameter in this situation?
2. What is the point estimate for the parameter in this case?
3. What is the standard error for the point estimator in this case?
4. What is the set of hypotheses that would be used to test that the mean hay production is 2 ton per acre against the alternative that it differs from 2 ton?
5. What is the value of the test statistic to test the null hypothesis that the mean hay production is 2 tons per acre?
6. What is the name of the distribution of the test statistic if the mean hay production is 2 tons?
7. What value must the test statistic be more extreme than in order to reject the null hypothesis at the 1% significance level?