To determine diet quality, male weanling rats were fed diets with various protein levels. Eachof 15 rats was randomly assigned to one of three diets, and their weight gain in grams wasrecorded in the following table:Diet protein levelMediumLowHigh9.728.549.199.679.3211.118.158.7614.456.759.3010.399.5510.4512.16Sample MeanSample Variance 1.6968.7689.27411.4600.5473.963Suppose we fit the data with the following model:Xij = µ+a; + Eij, i = 1, 2, 3; j= 1,., 5,N(0, o²) independently. Define X;.i = 1,2, 3, X. = 1=1 Xij, and SS(E) = E-1E=1(Xij – X;.)².E- Xij forwhere a1 + a2 + az =0 andEijSome R output that may help.> p1 <- c(0.01, 0.025, 0.05, 0.1, 0.9, 0.95, 0.975, 0.99)> qf (p1, 2, 12)[1] 0.010 0.025 0.052 0.106 2.807 3.885 5.096 6.927> qf (p1, 2, 14)[1] 0.010 0.025 0.051 O.106 2.726 3.739 4.857 6.515> qf (p1, 3, 12)[1] 0.037 0.070 0.114 O.192 2.606 3.490 4.474 5.953> qf (p1, 3, 14)[1] 0.037 0.070 0.115 0.192 2.522 3.344 4.242 5.564 (b) Using the 5% level of significance, answer the following question: is there evidence ofany differences in the average weights of rats between the three different diets? Stateclearly the null and alternative hypotheses, the test statistic, the distribution of the teststatistic under the null hypothesis, the rejection region and the critical value, andfinal conclusion.your

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Answered: To determine diet quality, male…

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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Given the following dataset of the price of a gallon of gas: $2.85; $3.06; and $2.99. Calculate the sample variance. The sample variance, rounded off as instructed, is:
This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent. Stone Tool Construction Material Material Site B Row Total Basalt 768 547 1315 Obsidian 101 94 195 Pedernal chert Other Column Total 536 499 1035 179 1496 1228 2724 (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Stone tool material and site are independent. H: Stone tool material and site are not independent. O Ho: Stone tool material and site are not independent. H: Stone tool material and site are independent. O Ho: Stone tool material and site are independent. H: Stone tool material and…
For each scenario listed below, determine whether the scenario represents an Independent Samples or Dependent Samples (Matched Pairs) situation by placing the appropriate letter in the box provided. a. Comparing pre-test scores before training to post-test scores: OIndependent Samples OMatched Pairs b. Comparing the number of speeding tickets received by men to the number received by women: OIndependent Samples Matched Pairs c. Comparing pain levels of a group receiving a placebo to a group receiving a medicine: Independent Samples OMatched Pairs d. Comparing pain levels before and after treatment with magnetic therapy: Independent Samples OMatched Pairs
The following is data about the hemoglobin concentrations of volunteers collected at sea level and at an altitude of 11000 feet. sea level concentrations = [14.70 , 15.22, 15.28, 16.58, 15.10 , 15.66, 15.91, 14.41, 14.73, 15.09, 15.62, 14.92]11000 feet concentrations = [14.81, 15.68, 15.57, 16.59, 15.21, 15.69, 16.16, 14.68, 15.09, 15.30 , 16.15, 14.76] There are two alternative scenarios about the way the data were obtained. In scenario 1, there are 12 volunteers who lived for a month at sea level, at which time blood was drawn and the data in "sea level concentrations" dataset were obtained. Subsequently, all 12 volunteers were moved to 11000 ft and after a month the data in the "11000 feet concentrations" dataset obtained. There is a one to one correspondence between the numbers in the two datasets, that is the first numbers correspond to volunteer1, the second numbers to volunteer2 etc. In scenario 2, the "sea level concentrations" dataset is a random sample obtained from 12…
The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows. Excel File: data 10-41.xlsx Kitchen 25.2 17.4 22.8 21.9 19.7 Master Bedroom 18.0 22.9 26.4 24.8 26.9 Kitchen 23.0 19.7 16.9 21.8 23.6 Master Bedroom 17.8 24.6 21.0 a. Develop a point estimate of the difference between the population mean remodeling costs of kitchens and master bedrooms. (Enter negative values as negative numbers. Report in thousands of dollars with no commas in your answer.) Point estimate = $ thousand b. Develop a 90% confidence interval for the difference between the two population means. (to 1 decimal and enter negative values as negative numbers) ) in thousands of dollars.
The following is data about the hemoglobin concentrations of volunteers collected at sea level and at an altitude of 11000 feet. sea level concentrations = [14.70 , 15.22, 15.28, 16.58, 15.10 , 15.66, 15.91, 14.41, 14.73, 15.09, 15.62, 14.92]11000 feet concentrations = [14.81, 15.68, 15.57, 16.59, 15.21, 15.69, 16.16, 14.68, 15.09, 15.30 , 16.15, 14.76] There are two alternative scenarios about the way the data were obtained. In scenario 1, there are 12 volunteers who lived for a month at sea level, at which time blood was drawn and the data in "sea level concentrations" dataset were obtained. Subsequently, all 12 volunteers were moved to 11000 ft and after a month the data in the "11000 feet concentrations" dataset obtained. There is a one to one correspondence between the numbers in the two datasets, that is the first numbers correspond to volunteer1, the second numbers to volunteer2 etc. In scenario 2, the "sea level concentrations" dataset is a random sample obtained from 12…
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his question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent. Excavation Site Material Site A Site B Row Total Basalt 756 559 1315 Obsidian 92 103 195 Pedernal chert 514 521 1035 Other 88 91 179 Column Total 1450 1274 2724 (a) What is the level of significance? (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

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