In many parts of the northern United States, two color variants of the Eastern Gray Squirrel-gray and black—are found in thesame habitats. A scientist studying squirrels in a large forest wonders if there is a difference in the sizes of the two-color variants.He collects random samples of 40 squirrels of each color from a large forest and weighs them. The 40 black squirrels have amean weight of 20.3 ounces and a standard deviation of 2.1 ounces. The 40 gray squirrels have a mean weight of 19.2 ouncesand a standard deviation of 1.9 ounces.Let M₁=the true mean weight of black squirrels and µ₂ = the true mean weight of gray squirrels.Do these data provide convincing evidence at the a = = 0.01 significance level of a difference in the mean weights of all gray andblack Eastern Gray Squirrels in this forest?Which of the following is false?We do not have convincing evidence that the true mean weight of black squirrels is different than the true mean weightof gray squirrels.The standardized test statistic is t =(20.3-19.2)-02.12 1.92= 2.46.40+40We want to test H。 : µ₁ − µ₂ ‡ 0 versus H₁ : µ₁ − µ₂ = 0.The P-value of this test is greater than 0.01.

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Answered: ates, two color variants of the Eastern…

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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Lake Quanipaug in Connecticut is famous for its yellow perch. Studies have found that the national mean length is µ = 8.2 inches. However, a random sample of 31 fish caught during Memorial weekend at Lake Quanipaug, had a sample mean of x̄=7.1 inches, with an estimated sample standard deviation of s = 3.8 inches. Do these current data indicate that the average length of the yellow caught at Lake Quanipaug is less than historical µ = 8.2 inches? Use α = .02. State α, Ho, H1, p-value, rejection, or non-rejection, and be certain to interpret your results.
The mean BMI in patients free of diabetes has been reported as 27.8. An investigator measured BMI in 12 patients who are free of diabetes and found a mean BMI of 30.2 with a standard deviation of 5.5. The investigator hypothesizes that the BMI in patients free of diabetes is higher than what has been reported. Is there evidence that the BMI is significantly higher that 27.8? Use a 5% level of significance. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUSTshow your work to receive full credit. Partial credit is available.
The mean number of english courses taken in two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of 3 english courses with a standard deviation of 0.8. The females took an average of four english courses with a standard deviation of 1.0. Are the means statistically the same?
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A survey found that women's heights are normally distributed with mean 62.3 inches and standard deviation 2.2 inches. Most of the live characters employed at an amusement park have height requirements of at least 54 inches Find the percentage of women meeting the height requirement?
What is the standard deviation of a sample of 120 observations, if the variance of the sample 2.56?
An interested citizen wanted to know if Democratic U. S. senators are older than Republican U.S. senators, on average. On May 26 2013, the mean age of 30 randomly selected Republican Senators was 61 years 247 days old (61.675 years) with a standard deviation of 10.17 years. The mean age of 30 randomly selected Democratic senators was 61 years 257 days old (61.704 years) with a standard deviation of 9.55 years. Do the data indicate that Democratic senators are older than Republican senators, on average? Test at a 5% level of significance. a. At the 5% level of significance, from the sample data, there is NOT sufficient evidence to conclude that the mean age of Democratic senators is greater than the mean age of the Republican senators. b. At the 5% level of significance, from the sample data, there is sufficient evidence to conclude that the mean age of Democratic senators is greater than the mean age of the Republican senators.
The mean and standard deviation of Carbon concentration is 5 mg/L and 2 mg/L based on 25 samples from a river. The mean and standard deviation of Nitrogen concentration is 7 mg/L and 3 mg/L based on 35 samples from the same river. The experimenter wants to answer the question if the Nitrogen concentration is higher than the Carbon concentration. Which of the following methods do you use? Z-test, Default Procedure Z-test, Pooled Variance Procedure T-test, Pooled Variance Procedure T-test, Default Procedure
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It has been reported that the variance of the speeds of drivers on the Turnpike near Somerset, PA is 64 for all vehicles. A driver who was pulled over near Somerset on the pike feels that value is incorrect and conducts a 4. survey of speeds. He finds that the standard deviation of 50 vehicles is 10.5 mph. At a 0.05, is the driver correct? %3D
In Professor Krugman's economics course, the correlation between the students' total scores prior to the final examination and their final‑examination scores is ?=0.5.�=0.5. The pre‑exam totals for all students in the course have mean 280280 and standard deviation 40.40. The final‑exam scores have mean 7575 and standard deviation 8.8. Professor Krugman has lost Julie's ﬁnal exam but knows that her total before the exam was 300.300. He decides to predict her ﬁnal‑exam score from her pre‑exam total. © Macmillan Learning (a) What is the slope of the least-squares regression line of final-exam scores on pre-exam total scores in this course? Give your answer to one decimal place. slope: What is the intercept? Give your answer as a whole number. intercept:
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