Two catalysts may be used in a batch chemical process. 12 batches were preparedusing catalyst 1, resulting in an average yield of 86 and a sample standard deviation of3. 15 batches were prepared using catalyst 2, and they resulted in an average yield of89 with a standard deviation of 2. Assume that yield measurements are approximatelynormally distributed with the same standard deviation.• Is there evidence to support a claim that catalyst 2 produces a higher mean yieldthan 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. What is the pooled sample variance? (Write in 1 decimal place)b. What is the p-value? (Write in 4 decimal places)c. Should we reject or not reject H0?d. Is there (significant or insignificant) sample evidence to show that the mean yieldproduced by catalyst 2 is (higher or not higher) than the mean yield produced bycatalyst 1?

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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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Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 85 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 89 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation. (a) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use a = 0.01. (b) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). Round your answer to two decimal places (e.g. 98.76). M1 - M2 < i
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes. A random sample of 32 dive durations has a mean of 12.4 minutes and a standard deviation of 2.2 minutes. At α=0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state H0 and Ha. H0: muμ equals= 11.711.7 Ha: muμ not equals≠ 11.711.7 (Type integers or decimals. Do not round.) The claim is the null hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. t=1.791.79 (Round to two decimal places as needed.) Obtain the P-value. P= (Round to three decimal places as needed.)
Two catalysts may be used in a batch chemical process. 12 batches were prepared using catalyst 1, resulting in an average yield of 86 and a sample standard deviation of 3. 15 batches were prepared using catalyst 2, and they resulted in an average yield of 89 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with 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 uj – uz. b. What is the critical value? (Write in 3 decimal places) c. What is the pooled sample variance? (Write in 1 decimal value) d. What is the test statistic? (Write in 2 decimal places) e. What is the p-value? (Write in 4 decimal places) f. Should we reject or not reject H0? g. Is there…
(3) A process for manufacturing soft soda produces normally distributed yield with a mean of 600 and a standard deviation of 100 units. A new modified process yields an average of 630 units for a sample of size 50. At a = 0.05 does the modified process increase the yield? %3D
A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.5 seconds. A random sample of 24 sedans has a mean minimum time to travel a quarter mile of 15.4 seconds and a standard deviation of 2.09 seconds. At α=0.01 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires. The mean braking distance for SUVs equipped with tires made with compound 1 is 65 feet, with a population standard deviation of 13.6. The mean braking distance for SUVS equipped with tires made with compound 2 is 69 feet, with a population standard deviation of 8.5. Suppose that a sample of 55 braking tests are performed for each compound. Using these results, test the claim that the braking distance for SUVs equipped with tires using compound 1 is shorter than the braking distance when compound 2 is used. Let μ₁ be the true mean braking distance corresponding to compound 1 and μ₂ be the true mean braking distance corresponding to compound 2. Use the 0.05 level of significance. Step 3 of 5 Find the p-value associated with the test statistic. Round your answer to four decimal places. Answer How to enter your answer (opens in…
A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1067 hours and a standard deviation of 137 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. What is the critical value of t? O-2.787 O-1.711 O-1.704 -2.797 What is the value of the test statistic, t, rounded to three decimal places? What is the p-value for this hypothesis test, rounded to four decimal places? Should you reject or fail to reject the null hypothesis in this test? Does the data provide evidence to contradict the company's claim about the average lifetime of their light bulbs?
A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires. The mean braking distance for SUVS equipped with tires made with compound 1 is 68 feet, with a population standard deviation of 13.9. The mean braking distance for SUVs equipped with tires made with compound 2 is 73 feet, with a population standard deviation of 13.7. Suppose that a sample of 72 braking tests are performed for each compound. Using these results, test the claim that the braking distance for SUVS equipped with tires using compound 1 is shorter than the braking distance when compound 2 is used. Let μ, be the true mean braking distance corresponding to compound 1 and μ₂ be the true mean braking distance corresponding to compound 2. Use the 0.05 level of significance. Step 1 of 5: State the null and alternative hypotheses for the test.
A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires. The mean braking distance for SUVs equipped with tires made with compound 1 is 65 feet, with a population standard deviation of 13.6. The mean braking distance for SUVs equipped with tires made with compound 2 is 69 feet, with a population standard deviation of 8.5. Suppose that a sample of 55 braking tests are performed for each compound. Using these results, test the claim that the braking distance for SUVs equipped with tires using compound 1 is shorter than the braking distance when compound 2 is used. Let μ₁ be the true mean braking distance corresponding to compound 1 and μ₂ be the true mean braking distance corresponding to compound 2. Use the 0.05 level of significance. Step 5 of 5: State the conclusion of the hypothesis test. Answer Tables Keypad Keyboard Shortcuts Previous Step Answers There is sufficient evidence…

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