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- Two different analytical methods were used to determine residual chlorine in sewage effluents. Both methods were used on the same samples, but each sample came from various locations with differing amounts of contact time with the effluent. Two methods were used to determine the concentration of Cl in mg/L, and the results are shown in the attached table. A. What type of t test should be used to compare the two methods and why? B. Do the two methods give different results? State and test the appropriatehypotheses at 95% confidence level. C. Does the conclusion depend on whether the 90%, 95%, or 99% confidence levelsare used?V. ASSESSMENT (Time Frame: (Learning Activity Sheets for Enrichment, Remediation, or Assessment to be given on Weeks 3 and 6) Determine the following antiderivatives of the following: 1. SVīdx 2. Jlu? + и + 1)du 3. Sv*+v² +v)dv 4. S" 5. S1000dx 6. Sdx 7. S 5x-'dx 8. S(2e* + 7*)dx w3+w²+w dw 9. S; dy sec y tan y w3 10. S dx sin?xcos?x✔ BOTTOM LINE QUESTION Find the antiderivative ftan* tdt.
- An oil company is considering introducing an additive into its gasoline, hoping to increase the average mileage per liter.. The engineers at the oil company's group are considering introducing an additive into their gasoline, hoping to increase the average mileage per liter. The research group's engineers tested engineers tested 32 cars with regular gasoline and another 39 cars with gasoline containing the additive. With the additive. From previous studies it is estimated that: Mileage per liter without additive: μ = 14.2 km, s = 3.24 km Mileage per liter with additive: u = 15.4 km, s = 5.56 km. a) What is the probability that the average kilometers traveled per liter in the sample of cars with additive is greater than 14.8 km? of cars with additive is greater than 14.8 km? b) If it is estimated that the variances of the kilometers traveled with and without additive are the same, what is the probability that in the samples, the average kilometers traveled per liter with the new…local fast-food res et y denote the caThe data below give the concentration of thiol (NM) in the blood lysate for two groups of volunteers. The first group of volunteers is considered 'normal', and the members of the second group of volunteers suffer from rheumatoid arthritis. a Normal: 1.85 Rheumatoid: 2.81 1.90 2.85 2.35 4.08 1.45 3.95 1.83 3.27 1.92 3.77 Find the sample mean and sample standard deviation for the 'Normal and 'Rheumatoid' groups, respectively. (Show the working steps.) 2.15 b Based on the result of (a), what kind of the hypothesis test should be used if we want to investigate whether the mean concentration of thiol is the same for the two groups?
- The following are the weight losses of certain machine parts due to friction (in milligrams) when used with three different lubricants: Lubricant 1: 13 11 10 13 Lubricant 2: 9. 11 Lubricant 3: 7 6. Test at the 0,01 level of significance whether the type of lubricant effects the weight loss of the machine parts due to friction. While carrying out the test, follow the steps below and answer the questions. 1- Determine the null and alternative hypotheses. Ho: H: 2-Fill in the following ANOVA Table. ANOVA Table Source of Variation Degrees of Freedom Sum of Squares Mean Sum of Squares Treatment Error Total 3-State your decision and conclusion.A. A patient was given a z score of 2.1 for their bone density exam. The μ = 75 and σ = 8. What is their score (X) for the exam? B. A patient was given an exam score of X = 77. The μ = 75 and σ = 8. What is their z score for the exam?Two different analytical methods were used to determine residual chlorine in sewage effluents. Both methods were used on the same samples, but each sample came from various locations with differing amounts of contact time with the effluent. Two methods were used to determine the concentration of Cl in mg/L, and the results are shown in the following table: Answer the following questions as per the table: - 1.What type of t test should be used to compare the two methods and why? 2.Do the two methods give different results? State and test the appropriate hypotheses. 3.Does the conclusion depend on whether the 90%, 95%, or 99% confidence levels are used?
- A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 22 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug)d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.01α=0.01 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patients both before and after taking the new drug. Patient 1 2 3 4 5 6 7 8 9 Blood pressure (before) 198198 200200 159159 202202 185185 150150 148148 149149 175175 Blood pressure (after) 191191 174174 151151 178178 159159 140140 140140 141141 161161A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 22 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug)d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.05α=0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patients both before and after taking the new drug. Patient 1 2 3 4 5 6 7 8 9 Blood pressure (before) 156156 155155 167167 176176 191191 160160 159159 197197 181181 Blood pressure (after) 146146 144144 154154 161161 165165 146146 148148 171171 155155 Copy Data Step 1 of 5 : State the null and alternative hypotheses for the test.A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 22 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug)d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.05α=0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patients both before and after taking the new drug. Patient 1 2 3 4 5 6 7 8 9 Blood pressure (before) 156156 155155 167167 176176 191191 160160 159159 197197 181181 Blood pressure (after) 146146 144144 154154 161161 165165 146146 148148 171171 155155 Copy Data Step 2 of 5 : Find the value of the standard deviation of the paired differences. Round your answer to one…