8. Two type of rice varieties are being considered for yield and a comparison is needed. Thirty hectares were plantedwith the rice varieties exposed to fairly uniform growing conditions. The results are tabulated below:SampleSample sizeAverage yieldSample varianceAt .05 significance level, can we conclude that variety A is the better type.Variety A12 hectaresVariety B15 hectares82 sacks/hectare5.976 sack/hectare3.3

Two sample t test uses to compare the statistical significant difference between two sample means.…

Answered: 8. Two type of rice varieties are being…

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 local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank's claim. Use the information given below. Use a significance level of .05 and assume the variances are equal. Sample statistics for a local bank and a competitor's bank Local Bank Competitor Bank Sample size n1 = 46 n2 = 50 Average waiting time in minutes for each sample X, = 2.3 mins. X2 = 2.6 Sample Standard Deviation of each Sample = 1.1 mins 1.0 mins. S1 S2 1. Are the samples dependent or independent? 2. State your Null/Alternative hypotheses 3. What is the test-statistic? 4. What is the p-value? 5. What are the critical values? 6. Does the test-statistic lie in the rejection region? 7. Interpret the Result? Does the result change for a different value of alpha? Explain?
Answer the subquestions for the sample problem below
Using the ROI data set: For each of the 2 majors test the hypothesis at the 5% significance level: The mean ‘Cost’ for a college is $160,000. Be sure to interpret your results. For Business versus Engineering majors conduct a two sample test of the hypothesis at the 10% significance level (assume the variances are not equal): The average ’30-Year ROI’ for Business majors is less than for Engineering Majors. Be sure to interpret your results.
1. A purification process for a chemical involves passing it, in solution, through a resin on which impurities are adsorbed. A chemical engineer wishing to test the efficiency of 3 different resins took a chemical solution and broke it into 15 batches. She tested each resin 5 times and then measured the concentration of impurities after passing through the resins. The results of the Analysis of Variance on the data are shown below. Analysis of Variance Table Response: concentration Df Sum Sq Mean Sq F value Pr(>F) resin 2 1.45E-05 7.27E-06 0.048737 0.9526 Residuals 12 0.001789 0.000149 a.) Interpret the result of the Analysis of Variance (ANOVA). What is the statistical decision and corresponding conclusion? b.) What is the implication of the results obtained from the analysis of the data?
An analysis of variance produces SSb = 40 and MSb = 20. In this analysis, how many treatment conditions are being compared?
2. Differentiate Independent and Dependent Samples and give an example for each method.
Prepare a layout and resulting analysis of variance (a) table for five types of fertilizers viz., A, B, C, D, and E and two blocking factors viz., varying soil fertility and varying seeds. Answer:
35. Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (xx) Cost(yy) 757 134.55 538 106.7 782 142.3 461 83.15 597 116.55 372 74.8 328 75.2 480 92 978 154.7 261 58.15 A student calculates a linear modely = x + . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 849.Cost =$ (Please show your answer to 2 decimal places.)
1. Sample question: Calculate an independent samples t test for the following data sets: Data set A: 1,2,2,3,3,4,4,5,5,6 Data set B: 1,2,4,5,5,5,6,6,7,9 2. Using the following data perform a significance test to compare the means of strains A and B and comment on the results obtained. Strain A: Ex = 281 mn, n=10, Ex'= 8854.0 Σ= 9482.0 Strain B: Ex=272 mn, n= 8, 3. With the help a suitable test find out the significant differences between two samples. Number of organisms/culture: Sample 1 Sample 2 45 127 86 56 77 49 106 74 61 98 92 45 68 33 88 61 4. Paired t-test with following data Subject # Score 1 Score 2 3 20 2 3 13 3 3 13 4 12 20 15 29 16 32 7 17 23 8 19 20 9 23 25 10 24 15 11 32 30
What is the relationship between the sampling variance of an OLS parameter estimate, and the total sum of squares of that variable?
Group 1. Mean= 24.08 Group 2. Mean= 26.5 STD Dev= 4.42 STD Dev= 5.2 Sample Size=16 Sample Size=16 What is tcomputed =
A. Determine the test statistic B. What are the critical values C. What is the p value

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