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Q: proof that It A and two events with positive probabilities P(A) ±0, P(B) ±0, then A and are…
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A: Given that (A) One must check for both homogeneity of variances and normality when needed. (B)…
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A: It is given that: P(A)=0.2P(B)=0.4P(A|B)=0.1 The objective is to obtain, P(A'∩B).
Q: Statistics: Probability: A bag contains an assortment of Jolly Rancher candies. Specifically, there…
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A: It is given that the statement about to the right skewed population. Here, need to find out the…
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Q: Major League Baseball now records information about every pitch thrown in every game of every…
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Q: Check here for instructional material to complete this problem. X1 " Evaluate the following formula…
A: Ans#- Evaluate z = (p^1 - p^2 ) - (p1 - p2)p¯*q¯n1+ p¯*q¯n2 for p1 - p2 = 0, p¯ = 0.150413, q¯…
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A: Given that (A) The value "df" stands for derivatives of freedom (B) These values give an idea how…
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Q: A coin is tossed 3 times and then a die is rolled. Let X be the number of heads times the number of…
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Q: (A) A t-test can be used with population mean (B) A z-test can be used with sample mean Both…
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A: Given: n = 11 Formula Used: Range = Max - Min Variance s2 =∑Xi-X2n-1 Standard deviation s = s2
Q: A Levene's test is significant at p-value < 0.05. Which can we conclude? The variances are not…
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A: Consider a discrete random variable x with probability distribution p(x).
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A: Hint: Range, variance and standard deviation are the measures of dispersion. Range, variance and…
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A: Given information: Ho: μ=10H1: μ/=(indifferent from)10p-value=0.07
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A: A histogram is a graphical representation of a frequency (numerical values) with bars or frequency…
Q: 8.38 Sampling at a party. At a party there are 30 students over age 21 and 20 students under age 21.…
A: Given: Total number of students=30 chosen at random 3 of those over 21 chosen at random 2 of those…
Q: neck here for instructional material to complete this problem. valuate E = t* 2 S 'P n + 2 Р 31- for…
A: Given,t*=0.36sp=45.60n1=47n2=48
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Q: omputed. Thus, you only need to compute for the Coefficient of Variation or Covariance for the…
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A: The given confidence level is 95%, margin of error is 10 and population standard deviation is 30.
Q: Evaluate the following formula for p₁ = 0.6, P₂ = 0.2, P₁ P2 = 0, p=0.541356, q=0.458644, n₁ = 97,…
A: Given information: p^1=0.6p^2=0.2p1-p2=0p¯=0.541356q¯=0.458644n1=97n2=84 Find: z test statistic.
Q: ted below are the numbers of hurricanes that occurred in each year in a certain region. The data are…
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Q: Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones.…
A: arrange data in accending order 0.56, 0.57, 1.05, 1.09, 1.13, 1.23, 1.25, 1.33, 1.45, 1.46, 1.49…
Q: Let X₁, X2, X3, be a r. s. from normal distribution with mean 0 and variance 1, let the prior…
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Q: A recent study of 28 employees of XYZ company showed that the mean of the distance they traveled to…
A: To find: The upper bound of the 95% confidence interval of the true mean
Q: Determine E[g(X)] for the RV
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Q: a. Determine the mean number of children per household. b. Determine the standard deviation for the…
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Q: A large company must hire a new president. The Board of Directors prepares a list of five…
A: There is total 5 candidates, among which 2 candidates are members of a minority group.
Q: A distribution of values is normal with a mean of 218.6 and a standard deviation of 33.6. Find…
A: It is given that Mean, μ = 218.6 Standard deviation, σ = 33.6
Q: what is the symbol for the first parameter of the distribution and whats the value?
A: Answer: - Actually we have p=0.40 and sample size n=100 , This is the binomial Distribution
Q: elling headphones at different prices. Selling Price 10 20 30 40 50 Profit 2000 3700 4200 3500 1600…
A: x Selling Price y Profit Selling Price 10 20 30 40 50 Profit 2000 3700 4200 3500 1600…
Q: Interpret the value of IQR in the above table.
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Q: Test the claim that the mean GPA of night students is smaller than 2.3 at the .005 significance…
A: given data N=60 Mean = 2.26 Sd= 0.08
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Q: Find the 84th percentile, Pg4, from the following data 3 4 5 8 11 12 24 27 33 40 46 49 52 53 55 60…
A: Introduction: It is required to find the 84th percentile or P84 for the given data set.
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- An environmental scientist developed a new analytical method for the determination of cadmium (Cd+) in mussels. To validate the method, the researcher measured the Cdt concentration in standard reference material (SRM) 2976 that is known to contain 0.82 + 0.16 ppm Cd+. Five replicate measurements of the SRM were obtained using the new method, giving values of 0.787, 0.758, 0.824, 0.838, and 0.765 ppm Calculate the mean (x), standard deviation (s,), and the 95% confidence interval. A list of i values can be found in the Student's table. X3= Ppm Ppm 95% confidence interval: + Ppm Does the new method give a result that differs from the known result of the SRM at the 95% confidence level? no yesA sample of 10 diesel trucks were run both hot and cold to estimate the difference in fuel economy. The results, in mpg. are presented in the following table. (From "In-use Emissions from Heavy-Duty Diesel Vehicles," J. Yanowitz, Ph.D. thesis, Colorado School of Mines, 2001.) Truck Hot Cold 4.56 4.26 2 4.46 4.08 3 6.49 5.83 5.37 4.96 5 6.25 5.87 6 5.90 5.32 4.12 3.92 8 3.85 3.69 4.15 3.74 10 4.69 4.19 Find a 98% confidence interval for the difference in mean fuel mileage between hot and cold engines.John investigated the quantitative determination of Cr in high-alloy steels by a potentiometric titration of Cr6+. Before titrating, the steel was dissolved in acid and the chromium oxidized to Cr6+ by peroxydisulfate. Following are the results (%w/w Cr) for the analysis of a single reference steel: 16.968, 16.922, 16.840, 16.883, 16.887, 16.977, 16.857, 16.728 Calculate the mean, standard deviation and the 95% confidence interval of the mean
- A study measures the sorption rate of three different types of organic chemical solvents. These solvents are used to clean industrial-fabricated metal parts and are potential hazardous waste. Independent samples of solvents from each type were tested and their sorption rates were recorded as a mole percentage. Aromatics Chloroalkenes Esters 1.06 0.95 1.58 1.12 0.29 0.53 0.79 1.45 0.83 0.06 0.54 0.82 0.57 0.44 0.17 0.89 1.16 0.10 0.61 0.65 0.43 0.51 Suppose that the sampled sorption rates for the three solvents came from a decidedly non-normal population, perform the hypothesis test to determine if there is significant differences in the sorption rates of the 3 solvents. What is the proper conclusion to this test? Choose the capital letter corresponding to your answer. A. The sorption rates are just the same. B. The sorption rates are significantly different. C. Aromatics and Esters have different sorption rates. D. Chloroalkenes and Esters have same sorption rates. E. None of the aboveAn agriculturist claims that she has cultivated a new variety of orange that has a significantly higher content of vitamin C than the variety that is currently the top seller. A random sample of 15 oranges of the new variety and a random sample of 15 oranges of the current top seller were sampled, giving the following results: m = 15 , = 99,880 si = 9.0335 n2 = 15 x2 = 96.892 s = 6.4460 Let 4 and 4z indicate the population mean vitamin C content of the new variety and of the current top seller, respectively. Test the agriculturist's claim using a significance level of 1%. Give both the p-value and the critical value. 3.1 (10) 3.2 State the assumptions associated with the test in 3.1. (2)A study measures the sorption rate of three different types of organic chemical solvents. These solvents are used to clean industrial-fabricated metal parts and are potential hazardous waste. Independent samples of solvents from each type were tested and their sorption rates were recorded as a mole percentage. Aromatics Chloroalkenes Esters 1.06 0.95 1.58 1.12 0.29 0.53 0.79 1.45 0.83 0.06 0.54 0.82 0.57 0.44 0.17 0.89 1.16 0.10 0.61 0.65 0.43 0.51 Suppose that the sampled sorption rates for the three solvents came from a decidedly non-normal population, perform the hypothesis test to determine if there is significant differences in the sorption rates of the 3 solvents. What is the value of the test statistic?
- Fluoride Exposure in Drinking Water Exercise 2.250 introduces a study showing that fluoride exposure might have long-term negative consequences for the offspring of pregnant women. Part of the study examines the effect of adding fluoride to tap water on mean fluoride concentration in women. Summary statistics for fluoride concentration (measured in mg/L) for the two groups are given in the table below. Tap water Fluoridated Non-fluoridated Conclusion: Sample size 141 228 Mean 0.69 0.40 St.Dev. 0.42 0.27 Find and interpret a 99% confidence interval for the mean increase in fluoride concentration for those with fluoridated tap water. Let Group 1 represent those with fluoridated tap water and Group 2 represent those without fluoridated tap water. Confidence interval: i to i (round to three decimal places)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?Vanadium has recently been recognized as an important trace element. An experiment was conducted to compare the concentrations of vanadium in different foods. The amount of vanadium, measured in nanograms per gram, was recorded for 8 samples of each of the following foods: green beans, tuna, and soy milk. The output from an ANOVA is shown below: State the null and alternative hypotheses to carry out ANOVA with these data. a) H0: Food products and level of vanadium are relatedHa: Food products and vanadium are not related b) H0: Food products and level of vanadium are not relatedHa: Food products and level of vanadium are related c) H0: There is a difference in the mean level of vanadium among the three food productsHa: There is no difference in the mean level of vanadium among the three food products d) H0: There is no difference in the mean level of vanadium among the three food productsHa: There is a difference in the mean level of vanadium among the three food…
- In an effort to link cold environments with hypertension in humans, a preliminary experiment was conducted to investigate the effect of cold on hypertension in rats. Two random samples of 6 rats each were exposed to different environments. One sample of rats was held in a normal environment at 26°C. The other sample was held in a cold 5°C environment. Blood pressures and heart rates were measured for rats for both groups. The blood pressures for the 12 rats are shown in the table below. a. Provide a 95% confidence interval on the difference in the two population meansb. Do the data provide sufficient evidence that rats exposed to a 5°C environment have a higher mean blood pressure than rats exposed to a 26°C environment? Use α = 0.05The DENR has a new procedure to detect algal bloom in water being tested. This new procedure is important because, it could be used to detect three different contaminants-organic pollutants, volatile solvents, and chlorinated compounds. The department claims that it can detect high levels of organic pollutants with 99.95% accuracy, volatile solvents with 99.70% accuracy, and chlorinated compounds with 89.70% accuracy. If an algal bloom is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. Denote as follows: S= signal, 0 = organic pollutants, V = volatile solvents, C = chlorinated compounds. If the test signals, what is the probability that chlorinated compounds are present? (Show complete solution in your answer sheet) O a. P(C|S) = 0.1184 O b. P(C|S) = 0.1386 O c. None among the…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?