# Question: A model relating fertilizer use to cotton yield is estimated

A model relating fertilizer use to cotton yield is estimated using 62 observations, and the following estimates are obtained:

= 15.43 + 0.12 (3.2431) (0.0371)

Where Y is the cotton yield in bushels/acre and X is the amount of fertilizer used in lb/acre. Standard errors of estimates are given in parentheses.

A: Formulate the appropriate null hypothesis, and alternative hypothesis, to test if fertilizer use has a positive effect on cotton yield. Calculate the test statistic and perform the test at 5 percent significance level. What is your conclusion?

B: Suppose the null hypothesis you constructed in part A is true. What is the probability of a Type I error?

= 15.43 + 0.12 (3.2431) (0.0371)

Where Y is the cotton yield in bushels/acre and X is the amount of fertilizer used in lb/acre. Standard errors of estimates are given in parentheses.

A: Formulate the appropriate null hypothesis, and alternative hypothesis, to test if fertilizer use has a positive effect on cotton yield. Calculate the test statistic and perform the test at 5 percent significance level. What is your conclusion?

B: Suppose the null hypothesis you constructed in part A is true. What is the probability of a Type I error?

**View Solution:**## Answer to relevant Questions

a. A pure monopolist sells output for $4.00 per unit at the current level of production. At this level of output, the marginal cost is $3.00, average variable costs are $3.75, and average total costs are $4.25. The marginal ...The Dempere Imports Company’s EPS in 2011 was $3.00, and in 2006 it was $1.80. The company’s payout ratio is 30%, and the stock is currently valued at $41.50. Flotation costs for new equity will be 7%. Net income in 2012 ...Among coffee drinkers, men drink a mean of 3.2 cups per day with a standard deviation of 0.8 cups. Assume the number of coffee drinks per day follows a normal distribution.a. What proportion drinks 2 cups per day or ...Compare and contrast permutations and distinguishable permutations. Provide a formula for each. State the fundamental counting principle and explain it in your own words. Explain the difference between a permutation and a ...a. Describe why knowing the type of variable matters when performing calculations or drawing graphs with data.b. Please share 3 examples of something that does not have an inherently normal distribution of values. Where ...Post your question