An agricultural research laboratory is evaluating two methods (Method 1, Method 2) fordetermining arsenic concentration in soil.Each method was tested ten times.The ten measurements associated with Method 1 yielded a sample standard deviation value of 1.2(mg/kg); the ten measurements associated with Method 2 yielded a sample standard deviationvalue of 0.8 (mg/kg).The laboratory then conducts hypothesis-testing, at a level of significance a = 0.05, to determine ifthe data provide sufficient evidence that Method 1 is less precise than Method 2 (a method is lessprecise than another if the variance from its measurements is greater than that for the other).The laboratory considers the following hypotheses: Ho: o-o 0 versus H. : o >0.Here, o and o, denote the population variances measurements from Methods 1 and 2,respectively.Fill in the blanks in the following statements.StatementRemarksThe value of the test statistic isWrite your answer precise to two decimalplaces, e.g., 8.47, 1.60, 5.92.The relevant critical (rejection) region for theWrite your answer precise to two decimaltest is given by: [+infinity). places, e.g., 8.47, 1.60, 5.92.The outcome isA. The null hypothesis is rejected; the dataprovide sufficient evidence to conclude thatWrite A or B.Method 1 is less precise than Method 2.

Solution: Given information: n1=10 sample size of method 1n2=10 sample size of method 2s1=1.2…

Answered: An agricultural research laboratory is…

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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Homeowners claim that the mean speed of automobiles travelling on the street is AT LEAST 35 miles per hour. They are demanding the creation of bumps on the road. This will cost the county $100,000. As the county inspector you want to be sure it is worth the money so you randomly sample of 100 automobiles and derive a mean speed of 36 miles per hour and a population standard deviation of 4 miles per hour. Is there enough evidence to support their claim at alpha = 0.05?State Ho and Ha--What kind of test is it?What is the p-value?- Interpret the results
It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 50 healthy adults 1 to 4 times daily for 3 days, obtaining 225 measurements. The sample data resulted in a sample mean of 98.4°F and a sample standard deviation of 1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the oa = 0.01 level of significance. State the hypotheses. Ho: H = 98.6°F H1: H < 98.6°F Find the test statistic. tn = - 3.00 (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)
You wish to determine the average VO2max (maximum rate of oxygen consumption, often associated with athletic performance) of a sample of 100 Olympic athletes, and to use a quantitative metric to assess your confidence in the average (mean) value. You calculate a mean of 71 ml/kg/min and a variance of 26.06 from your sample. Question: What are the standard error of the mean (SEM) and the approximate 95% CI of the mean?
a) Soil has been improved to increase the strength of a ground. The average compressive strength of 61 samples before treatment is 45 kg / cm2 and the standard deviation is 6.75 kg / cm2; The average compressive strength of 56 samples after the improvement is 52.5 kg / cm2 and the standard deviation is 8 kg / cm2. Determine whether the improvement application changes the standard deviation of the soil strength or not at the 5% significance level .b) Find the confidence intervals at the 7% significance level of the mean compressive strength of the sample after improvement?
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude Temperature a. Find the explained variation. (Round to two decimal places as needed.) 2 55 8 40 13 25 20 - 3 28 - 26 31 - 41 34 - 53
A sample of 12 concrete specimens from supplier A were tested for their compressive strength. The results gave an average of 85 MPa and a standard deviation of 4 MPa. From supplier B, 10 specimens were similarly tested and gave an average compressive strength of 81 MPa and a standard deviation of 5 MPa. (a) Using procedures of Hypothesis Testing, can we conclude at the 0.05 level of significance that the compressive strength of concrete from A exceeds that from B by more than 2 MPa? Assume the populations to be approximately normal with equal variances. (b) Is the assumption of equal variances in (a) justifiable at an a = 0.10?
3) For a sample of 306 students in a basic business communications course, the sample regression line y = 58.813 + 0.2875x was obtained. Here y = final student score at the end of the course x = score on a diagnostic writing skills test given at the beginning of the course The coefficient of determination was 0.1158 and the estimated standard deviation of the estimator of the slope of population regression line was 0.04566. a) Define and interpret the estimates of the regression equation. b) Interpret the coefficient of determination. c) What will happen to the final student score if his diagnostic writing test score increases by 2? d) How can you inmprove this model?
An automobile manufacturer has given its van a 50.6 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 220 vans, they found a mean MPG of 50.5. Assume the population variance is known to be 1.69. A level of significance of 0.01 will be used. Find the P-value of the test statistic. you may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

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