An agricultural engineer wants to compare crop yields of soybeans for four regions. Data were collected from a random sample of 56 crops, 14 from each region. In performing the ANOVA test, theconclusion was Fail to Reject the Null Hypothesis, thus the results were not significant at a = 0.05.Determine whether the following statement is true or false.It would be necessary to then perform the Tukey-Kramer (T-K) multiple comparisons procedure to identify differences in the mean crop yields of the four regions.TrueFalse

The question is about ANOVA.Given :No. of regions ( k ) = 4Total no. of crops ( N ) = 56Decision :…

Answered: An agricultural engineer wants to…

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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A sample of 9 days over the past six months showed that a dentist treated the following numbers of patients at his dental clinic: 21, 24, 19, 18, 15, 21, 23, 18, and 26. If the number of patients seen per day is normally distributed, would an analysis of these sample data reject the hypothesis that the variance in the number of patients seen per day is equal to 10? Use a 0.10 level of significance. State the null and alternative hypotheses. Ho: a 2 10 H a? 10 H: o2 s 10 Hạ: o s 10 Hi o > 10 Ho: a < 10 H: a 2 10 Ho: a2 Hi a+ 10 - 10 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value - State your conclusion. O Reject Hg. We can conclude that the variance in the number of patients seen per day is not equal to 10. Reject Ho. We cannot conclude that the variance in the number of patients seen per day is not equal to 10. Do not reject Ho. We can conclude that the variance in the number of…
A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. The earnings (in millions of dollars) for several randomly selected people from each category are shown in the table below. It has been confirmed that the population variance for each group is equal and that earnings follow a normal distribution for top-pain actors, athletes and musicians. Use a 5% significance to test the claim. Job Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Earnings 31 34 33 26 21 33 30 36 27 27 34 37 36 23 30 39 46 41 36 50 30 44 43 44 46 54 65 30 39 52 37 41 45 60 60 31 49 45 45 What is the factor variable? Top-Paid Job Type V What is the response variable? Earnings Test Statistic: 22.8181 X P-Value: 0.0000 ✓…
In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 9. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 12 schools in the district. The results from the survey found that the overal mean was a score of 200.280 with a standard deviation of 2.250. with a 0.01, perform a hypothesis test to determine if the variance is less than 9. Assume that the district standardized-test scores are normally distributed. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below Hoa-9 In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized test…
A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. The earnings (in millions of dollars) for several randomly selected people from each category are shown in the table below. It has been confirmed that the population variance for each group is equal and that earnings follow a normal distribution for top-pain actors, athletes and musicians. Use a 1% significance to test the claim. Job Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Earnings 34 38 32 21 21 26 26 26 34 30 18 36 34 37 40 35 38 62 48 38 46 33 41 38 51 62 35 51 40 43 59 48 41 63 34 47 54 49 53 What is the factor variable? Top-Paid Job Type What is the response variable? Earnings Test Statistic: P-Value: Decision Rule: Reject the…
Suppose that a one-way ANOVA is being performed to compare the means of three populations and that the sample sizes are 10, 12, and 15. Determine the degrees of freedom for the F-statistic.
A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.14, and there is good reason to believe that this year's value is greater than last year's.The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.44, and computes the standard deviation of the sample to be$1.10. Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1that should be used for the test? H0: H1: (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? ▼(Choose one) (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.14. Fill in the blanks to describe a Type I error. A Type I error…
A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. The earnings (in millions of dollars) for several randomly selected people from each category are shown in the table below. It has been confirmed that the population variance for each group is equal and that earnings follow a normal distribution for top-pain actors, athletes and musicians. Use a 5% significance to test the claim. Job Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Earnings 31 34 33 26 21 33 30 36 27 27 34 37 36 23 30 39 46 41 36 50 30 44 43 44 46 54 65 30 39 52 37 41 45 60 60 31 49 45 45 What is the factor variable? Select an answer What is the response variable? Select an answer Test Statistic: P-Value: Decision Rule:…
A researcher believes that college students tend to maintain a healthier diet and, consequently, weight, during early adulthood than their peers not enrolled in college. In a study sponsored by Tullys, you are responsible for comparing the mean BMI of a random sample of PSU Berks students to the CDC database about the 18-21 age group across the nation. What test would you use and why? (z test, independent t test, single sample t test, paired samples)
In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 8. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 27 schools in the district. The results from the survey found that the overall mean was a score of 189.720 with a standard deviation of 2.230. With α=0.05, perform a hypothesis test to determine if the variance is less than 8. Assume that the district standardized-test scores are normally distributed. Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places.
Researchers are interested in evaluating the effect of a natural product on reducing blood pressure. This will be done by comparing the mean reduction in blood pressure of a treatment (natural product) group and a placebo group using a two-sample t-test. The researchers would like to be able to detect whether the natural product reduces blood pressure by at least 7 points more, on average than the placebo. If groups of size 50 are used in the experiment, a two-sample t-test using alpha=0.01 will have a power of 80 % to detect a 7 -point difference in mean blood pressure reduction. If the researchers want to be able to detect a 5 -point difference instead, then the power of test(a) would be less than 80 %.(b) would be greater than 80 %.(c) would still be 80 %.(d) could be either less than or greater than 80 %, depending on whether the natural product is effective.(e) would vary depending on the standard deviation of the data. need explanation for incorrect answer
Suppose that house prices in a city (measured in thousands of dollars) are normally distributed with a mean of 280 and a variance of 22,500. What is the z-score for a house price of 333?
A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.16, and there is good reason to believe that this year's value is different from last year's.The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.43, and computes the standard deviation of the sample to be $1.25. Based on this information, complete the parts below. Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.16. Fill in the blanks to describe a Type I error. 1. A Type I error would be (rejecting) or (failing to reject) the hypothesis 2. That μ is (less than) (less than or = to) (greater than) (greater than or = to) (not = to) or (= to) 3. The number (1.25), (8.43), or (8.16) 4. When, in fact, μ is (= to 1.25) (= to 8.43) (= to 8.16)…

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