provide solution/explanation Using the rules of inference to show that the hypotheses "If it does not rain or if it is not foggy, then the sailing race will be held andthe lifesaving demonstration will go on," "If the sailing race is held, then the trophy will be awarded," and "The trophy was not awarded"imply the conclusion "It rained."Fill in the blank:StepReason1. -tHypothesis2. s→tHypothesis3. -sModus tollens using (1) and (2)4. (¬r v¬f) → (s l)Hypothesis5. (-(s A 1)) →¬(¬r v¬f) Contrapositive of (4)6. (-sv¬I) → (r A f)De Morgan's law and double negative7. -sv-|? _, using (3)8. rafModus ponens using (6) and (7)9. rSimplification using (8)O ResolutionO AdditionO SimplificationO Disjunctive syllogism

I will explain in two ways....both are correct... First one is in normal way... Second one in a…

Answered: Using the rules of inference to show…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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Purchase of a product The market research department at a manufacturing plant determines that 20 of the people who purchase the plants product during any month will not purchase it the next month. On the other hand, 30 of the people who do not purchase the product during any month will purchase it in the next month. In a population of 1000 people, 100 people purchased the product this month. How many will purchase the product a next month and b in 2 months?
Altmans z-score Altmans z-score is a financial tool for predicting insolvency in a business. For a certain company, the z-score formula is z=0.84+0.6StockpriceOutstandingsharesTotalliabilty In this exercise, we assume that thre are 45, 000 outstanding shares at a price of 4.80 each. a. Use L, for total liability, in dollard, and give a formula for the z-score for this company. b. Would a larger total liability idicate a better or worese outlook for the company? c. A z-score of 1.81 or lower indicates a high probability of insolvency. What is the smallest value of L that will give a z-score that indicates a high probability on insolvency?
Pollution A company with a fleet of 150 cars foundthat the emissions systems of 7 out of the 22 they testedfailed to meet pollution control guidelines. Is this strongevidence that more than 20% of the fleet might be outof compliance? Test an appropriate hypothesis and stateyour conclusion. Be sure the appropriate assumptions andconditions are satisfied before you proceed.
2. A producer of pharmaceutical claims that it is 90% effective in relieving hypersensitivity for a period of 8 hours. In a test of 200 individuals who had hypersensitivity, the medicine provided relief for 160 individuals.a. What should be the good hypotheses for this problem? i. Null Hypothesis: The medicine is 90% effective. ii. Null Hypothesis: The medicine is not 90% effective. iii. Alternative Hypothesis: The medicine is less than 90% effective. iv. Alternative Hypothesis: The medicine is greater than 90% effective. v. Both i and iii vi. Both i and iv vii. Both ii and iii viii. Both ii and iv ix. None of the above. b. What is the critical region at 1% level? i. z < -2.33 ii. t < - 1.282 iii. z > 2.33 iv. t > 1.282 v. None of the above. c. What is the t-value/z-score? i. t = 4.71 ii. z = -4.71 iii. t = 2.82 iv. z = -3.21 v. None of the above. d. Decide whether the manufacturer’s claim is legitimate or not at 1% level.…
Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about 10% of the time, while the non salty outgoing tides occurs twice per day. You take your dog for a walk down by the river at random during the weekend and notice that he'll drink from the river 30% of the time when the salt is sufficiently low. someone points out that the saltiness doesn't depend on the local rain but on the rain upriver. Assume that at any time it is possible to have 3 independent rainstorms upriver , all with the same 10% probability of occurrence that you see at the city. What is the probability of no rain upriver ? Of 1 rain ? Of more than one ? please tell which probability formula you use
A) The p− value is 0.7580. Reject the null hypothesis H0. The social media content associate has sufficient evidence that the average number of social media posts per day that helps to build an audience is different than 3 daily posts. B)The p− value is 0.2420. Reject the null hypothesis H0. The social media content associate has sufficient evidence that the average number of social media posts per day that helps to build an audience is different than 3 daily posts. C)The p− value is 0.7580. Fail to reject the null hypothesis H0. The social media content associate does NOT have sufficient evidence that the average number of social media posts per day that helps to build an audience is different than 3 daily posts. D)The p− value is 0.2420. Fail to reject the null hypothesis H0. The social media content associate does NOT have sufficient evidence that the average number of social media posts per day that helps to build an audience is different than 3 daily posts.
A hypothesis test is conducted with H0 : µ = -25 vs. Ha: µ > -25. The hypothesis test sample finds x̅ = -23.6, s = 3, and n = 16 . Within which interval does the tail area P lie? A hypothesis test is conducted with H0 : µ = -25 vs. Ha: µ > -25. The hypothesis test sample finds x̅ = -23.6, s = 3, and n = 16 . Within which interval does the tail area P lie? D. 0.005 < P < 0.010 B. 0.025 < P < 0.050 A. 0.050 < P < 0.100 C. 0.010 < P < 0.025
A medical researcher wants to examine the relationship of the blood pressure of patients before and after a procedure. She takes a sample of people and measures their blood pressure before undergoing the procedure. Afterwards, she takes the same sample of people and measures their blood pressure again. The researcher wants to test if the blood pressure measurements after the procedure are different from the blood pressure measurements before the procedure. The hypotheses are as follows: Null Hypothesis: μD = 0, Alternative Hypothesis: μD ≠ 0. From her data, the researcher calculates a p-value of 0.5704. What is the appropriate conclusion? The difference was calculated as (after - before). Question 16 options: 1) The average difference in blood pressure is significantly different from 0. The blood pressures of patients differ significantly before and after the procedure. 2) We did not find enough evidence to say the average…
A medical researcher wants to examine the relationship of the blood pressure of patients before and after a procedure. She takes a sample of people and measures their blood pressure before undergoing the procedure. Afterwards, she takes the same sample of people and measures their blood pressure again. The researcher wants to test if the blood pressure measurements after the procedure are different from the blood pressure measurements before the procedure. The hypotheses are as follows: Null Hypothesis: μD = 0, Alternative Hypothesis: μD ≠ 0. From her data, the researcher calculates a p-value of 0.8011. What is the appropriate conclusion? The difference was calculated as (after - before). Question 13 options: 1) We did not find enough evidence to say there was a significantly positive average difference in blood pressure. 2) We did not find enough evidence to say the average difference in blood pressure was not 0.…
he manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 3 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. (a) Determine the null and alternative hypotheses that the magazine will test. H0: ▼ muμ pp sigmaσ ▼ not equals≠ less than< equals= greater than> 3 H1: ▼ sigmaσ pp muμ ▼ equals= greater than> less than< not equals≠
Construct hypotheses based on a given observation and determine if a given scenario is using deductive or inductive reasoning. Kelly has two ponds on her farm. Around one pond, she sprayed diazinon, a common pesticide, to get rid of ants. A week later she noticed that the tadpoles in the pond she sprayed diazinon around appear smaller in size than the tadpoles in the other pond where she did not spray. Using the scenario above, write a specific, testable research hypothesis and null hypothesis for Kelly’s observation. Justify your reasoning.
A dietitian wants to test if on the average a person’s cholesterol level will be lowered if their diet is supplemented with a certain mineral. Six subjects have their cholesterol level tested before taking this mineral and again after taking this mineral for a 3 months. The measured cholesterol levels are listed in the table below: Level Before Mineral 210 235 208 190 172 244 Level After Mineral 190 170 210 188 173 228 When doing a Hypothesis Test to test this dietitian's claim the Degree of Freedom used and the computed P-value are A.) Degree of Freedom = 10 and P-value = 0.1349 B.) Degree of Freedom = 9.6562 and P-value = 0.1354 C.) Degree of Freedom = 5 and P-Value = 0.1688 D.) Degree of Freedom = 5 and P-value = 0.0844

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