A fertilizer manufacturing company has claimed that each extra unit of its fertilizer would increase the...
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A fertilizer manufacturing company has claimed that each extra unit of its fertilizer would increase the fruit bearing capacity of an apricot tree by 4.98 apricots. Esra, an apricot farmer from Malatya, wishes to test whether this increase in fruit bearing capacity is actually 4.98 apricots or not. She selects 100 trees at random from her orchard and uses this fertilizer on those trees and estimates the following regression: Y = 600 +4.93.X, where Ŷ, denotes the predicted number of apricots obtained from the ith tree and X, denotes the number of units of fertilizer used on the ith tree. Suppose the standard error of the estimated slope is 0.74. Let 3 and 3 be the intercept coefficient and the slope coefficient in the regression model, respectively. Esra hires you and asks you to test the following null and alternative hypotheses: Ho: ₁4.98 versus H₁: ₁4.98 (a) Test the null hypothesis at the 5% significance level. Can you reject the null? (b) Compute the p-value. Do you reject the null at the 5% significance level? (c) Construct a 95% confidence interval for 3₁, the regression slope coefficient. A fertilizer manufacturing company has claimed that each extra unit of its fertilizer would increase the fruit bearing capacity of an apricot tree by 4.98 apricots. Esra, an apricot farmer from Malatya, wishes to test whether this increase in fruit bearing capacity is actually 4.98 apricots or not. She selects 100 trees at random from her orchard and uses this fertilizer on those trees and estimates the following regression: Y = 600 +4.93.X, where Ŷ, denotes the predicted number of apricots obtained from the ith tree and X, denotes the number of units of fertilizer used on the ith tree. Suppose the standard error of the estimated slope is 0.74. Let 3 and 3 be the intercept coefficient and the slope coefficient in the regression model, respectively. Esra hires you and asks you to test the following null and alternative hypotheses: Ho: ₁4.98 versus H₁: ₁4.98 (a) Test the null hypothesis at the 5% significance level. Can you reject the null? (b) Compute the p-value. Do you reject the null at the 5% significance level? (c) Construct a 95% confidence interval for 3₁, the regression slope coefficient.
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a To test the null hypothesis Ho 498 versus H 498 at the 5 significance level we need to perform a t... View the full answer
Related Book For
Introduction To Federal Income Taxation In Canada
ISBN: 9781554965021
33rd Edition
Authors: Robert E. Beam, Stanley N. Laiken, James J. Barnett
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