The dataset cats is an R built-in dataset that is found in the MASS package. This dataset contains the heart and body weight measurements collected from a sample of 144 male and female domes- ticated adult cats that was to be used for digitalis experiments. Brittanica.com defines digitalis as a form of medicine that is acquired from leaves that were dried from a plant known as foxglove. This type of drug is usually used to treat heart problems. .2 Fit a simple linear regression model to this relationship using the R function Im(). (a) Give a fitted model and interpret the coefficients. b) Conduct test of hypotheses on the regression coefficients and comment on their sig- nificance. For each test provide the null and alternative hypotheses, critical region (or eiection region) toct ctotictios onc vour oonolueions

The dataset cats is an R built-in dataset that is found in the MASS package. This dataset contains the heart and body weight measurements collected from a sample of 144 male and female domes- ticated adult cats that was to be used for digitalis experiments. Brittanica.com defines digitalis as a form of medicine that is acquired from leaves that were dried from a plant known as foxglove. This type of drug is usually used to treat heart problems. .2 Fit a simple linear regression model to this relationship using the R function Im(). (a) Give a fitted model and interpret the coefficients. b) Conduct test of hypotheses on the regression coefficients and comment on their sig- nificance. For each test provide the null and alternative hypotheses, critical region (or eiection region) toct ctotictios onc vour oonolueions

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An owner of an ice cream shop wants to investigate whether a new training program affects the scooping skills of ice cream shop employees. To assess this, the owner divides employees into two groups: those who receive training (CT) and those who do not (NT). The owner evaluates their scooping skills using a scooping proficiency test. The dataset includes the test scores of the NT (no training) group: 15.00, 7.00, 18.00, 10.00, 6.00, and 20.00, and the CT (trained) group: 15.00, 10.00, 14.00, 7.00, 21.00, and 21.00. The owner is aware of the known population mean for scooping proficiency, which is 20. The hypothesis is that employees who did not receive training (NT) will likely have lower scooping proficiency than the population mean. To investigate this hypothesis, the owner conducts a one-sample t-test with a significance level (alpha) set at 0.05. The objective is to determine if the mean scooping proficiency of the NT group is significantly different from the established population…
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Getting an adequate amount of sleep can improve a variety of physiological functions, and it is known that the average number of hours that people sleep each night is normally distributed. A psychiatrist or a major research center takes an SRS of 25 emotionally disturbed patients and records the average amount of sleep that each gets on a typical night. He summarizes the data and finds that Xbar=6.90 and S= 0.878. What sample size would the researcher need to use in order to decrease the margin of error of a 95% confidence interval to +-0.20 hours?
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