2. Two catalysts may be used in a batch chemical process. Twelve batches were prepared usingcatalyst 1, resulting in an average yield of 86 and a sample standard deviation of 3. Fifteenbatches were prepared using catalyst 2, and they resulted in an average yield of 89 with astandard deviation of 2. Assume that yield measurements are approximately normally distributedwith the same standard deviation.Is there evidence to support a claim that catalyst 2 produces a higher mean yield than catalyst 1?Use alpha 0.01.Let the yield measurements from catalyst 1 represent population 1.Let the yield measurements from catalyst 2 represent population 2.A. The appropriate alternative hypothesis for this test is:_B. The critical value is4.00.)(Write your answer precise to 3 decimal places, e.g. 2.45, 3.01,C. The pooled sample variance is equal toC. The test statistic isD. The p-value is equal toE. The correct decision is to (reject or not reject) Ho.F. The correct conclusion is that there is (significant or insignificant) sample evidence to showthat the mean yield produced by catalyst 2 is (higher or not higher) than the mean yieldproduced by catalyst 1.

Step 1:(1)H0: Null Hypothesis: μ1−μ2≥0 0 (Catalyst 2 does not produce a higher mean yield that…

Answered: 2. Two catalysts may be used in a batch…

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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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
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?
Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let μ₁ = mean before workout. Select the correct Hypotheses: Ho:με 2 με Η: μι = με Η: μη μ₂ O O O Conclusion: before 69 69 65 62 63 61 after 73 75 72 70 68 59 O Fail to Reject Ho ● Reject Ho Test Statistic = p-value = Ho:μd = 0 H₁: Hd ‡0 O [three decimal accuracy] [three decimal accuracy] Ho:μα 20 Ha:Pa 0 O Interpret the conclusion in context: ● There is enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout. O There is not enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout.
Assume that the helium porosity (in percentage) of coal samples taken from anyparticular seam is normally distributed with true population variance 0.36.(a) Compute a 95% two-sided CI for the true average porosity of a certain seam if the average porosity for 20 specimens from the seam was 4.85. (b) How large a sample size is necessary if the width of the 95% two-sided CI is to be 0.5? (c) Compute a 98% upper one-sided CI for true average porosity of another seam based on 16 specimens with a sample average porosity of 4.56.show major intermediate steps.
2. Suppose the chamber of commerce at Pyramid Lake advertises that the average length of trout caught at the lake is μ = 19 inches. However, a fishing magazine survey reported that for a random sample of 51 fish caught, the mean length was x = 18.5 inches with estimated standard deviation s = 3.2 inches. Do these data indicate that the average length of the trout caught at Pyramid Lake is less than μ = 10 inches? (Use α = 0.05)
"The mean value of the design load on a foundation element is 6,000 kN, and its standard deviation is 1,200 kN. The estimated mean value of the bearing capacity is 12,000 kN, and its standard deviation 3,000 kN. If both the load and the resistance are Normally distributed, compute (a) the value of the reliability index B and (b) the probability of failure.", if the load and the resistance are positively correlated with p = 0.5.
5. We don't want predictor variables that are too highly correlated with each other or they are redundant (say ≥±.70) or multicollinear (2±.90), which means the variables are measuring pretty much the same thing so why have them all in the equation. What was the finding for redundancy between SPI Scientist and SPI Practitioner? a. No issue with redundancy since the shared variance between the two variables was only 4% (r2 = .04). b. There was an issue with redundancy between the two variables shared 62% of the variance in the relationship.
The titanium content of steel is determined in two laboratories by means of atomic absorptionspectrometry. The following data were obtained: Lab 1 0.470 0.484 0.463 0.449 0.482 0.454 0.477 0.409 Lab 2 0.529 0.490 0.489 0.512 0.486 0.502 - - A. Determine the variance of the measurement data obtained in the two laboratories.B. Is there any significant difference between these variances?
Sgdhfjyjygfgdvdvrhhti5oyoggadadsbgngbdfegrhfgrhefefegthgjglhlyhsdCfbvngkyhadafdhfjgkghadqsagdjgkhdvsvdbgnfvsvdbdbdbdbfbdvdgdgeggdgc fsvdbfhth sbdvdgrgrhg13. Six random determinations of sulfur content in steel at a particular point in a process gave the values 3.07, 3.11, 3.14, 3.24, 3.16, and 3.08. Assume the values are normally distributed. A previous study based on a sample of 21 random observations gave an estimate of variance of 1.51 × 10–3. Use the 10% level of significance. a. Compute for the new sample variance. b. Using the variance ratio, is the variance significantly higher now? Justify your answer.grhhjhmhbdcscfngbsvngbevfngnfjgjyoisfaxacsvdbfhfbdvsvsvdvdvdbdbźvdbfngnmklljfhsfadsfsvdbfbfngngkyoosdadwdsvdbfnfnfjgnjfjdvevdbbfngntjfhrhrhdgdgdvdhdhdbgdvgdfbfhfhtj
2. Traces of toxic, man-made hexachlorohexanes in North Sea sediments were extracted by a known process and by two new procedures, and measured by chromatography. Method Concentration found Conventional Procedure A (pg/g) 34.4 42.9 Standard deviation (pg/g) 3.6 1.2 Number of replications 6 6 a.) Is the standard deviation for procedure A significantly different from that of the conventional procedure at 95% confidence level? b.) Is the mean concentration found by procedure A significantly different from that of the conventional procedure at 95% confidence level?
A random sample of n = 19 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that o1 = 10. For Englewood (a suburb of Denver), a random sample of n2 = 18 winter days gave a sample mean pollution index of x2 = 34. Previous studies show that o2 = 13. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H1 H2 O Ho: H1 = l2; H1: H1 < µ2 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's…

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