Determine the following ; Conclusion HYPOTHESIS Calculation
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A: Given, n1 = 31 x1¯ = 2.71 s1 = 1.40 n2 = 31 x2¯ = 3.05 s2 = 1.38
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A: Given that X 0 1 2 3 4 5 P(x) 0.0001 0.0028 0.0289 0.1517 0.3983 0.4182
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Q: Ho: μ=9.8 and H1: μ>9.8 . Give your decision about the hypothesis testing at 5% significance level…
A: Given that Sample size n =50 Sample mean =10 Sample standard deviation =4.3
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- Toxic Mushrooms? Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at 0.5 part per million (ppm). M. Melgar et al. measured the cadmium levels in a random sample of the edible mushroom Boletus pinicola and published the results in the paper “Influence of Some Factors in Toxicity and Accumulation of Cd from Edible Wild Macrofungi in NW Spain” (Journal of Environmental Science and Health, Vol. B33(4), pp. 439–455). A hypothesis test is to be performed to decide whether the mean cadmium level in Boletus pinicola mushrooms is greater than the government’s recommended limit. a. determine the null hypothesis. b. determine the alternative hypothesis. c. classify the hypothesis test as two tailed, left tailed, or right tailed.Determine the kurtosis if the data given is a sample.A researcher conducts a two-year study comparing the number of cavities in a group of 30 randomly selected young children from the community before and after the application of fluoride to test if there is a decrease in the number of cavities. This is an example of a/an: Independent-samples t test or Dependent-samples t test?
- Reducing scrap of 4-foot planks of hardwood is an important factor in reducing cost at a wood-flooring manufacturing company. Accordingly, engineers at Lumberworks are investigating a potential new cutting method involving lateral sawing that may reduce the scrap rate. To examine its viability, samples of 600 and 500 planks, respectively, were examined under the old and new methods. Sixty-one of the 600 planks were scrapped under the old method, whereas 36 of the 500 planks were scrapped under the new method. (You may find it useful to reference the appropriate table: z table or t table)a. Construct the 99% confidence interval for the difference between the population scrap rates between the old and new methods, respectively. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)The article “Drift in Posturography Systems Equipped with a Piezoelectric Force Platform: Analysis and Numerical Compensation” (L. Quagliarella, N. Sasanelli, and V. Monaco, IEEE Transactions on Instrumentation and Measurement, 2008: 997–1004) reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plate. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 100 times per second for 300 seconds, for a total of 30,000 measurements. Find a 95% confidence interval for the population correlation ρ.The data represent below is the average of stiffness of coil spring. The data collected from 10 samples, where each sample contains only one individual observation. Calculate UCL, CL and LCL for X-bar chart for individual observations. Plot X-bar chart for individual observations. Is the process statistically in control? Sample 1 20.47 Sample 2 20.42 Sample 3 20.41 Sample 4 20.49 Sample 5 20.51 Sample 6 20.44 Sample 7 20.46 Sample 8 20.50 Sample 9 20.49 Sample 10 20.45
- Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article. (b) the sample variance s2 from the definition [Hint: First subtract 180 from each observation.] (c) the sample standard deviation (d) s2 using the shortcut methodAuto noise filters In a statement to a Senate Public WorksCommittee, a senior executive of Texaco, Inc., cited astudy on the effectiveness of auto filters on reducing noise. Because of concerns about performance, two types of fil-ters were studied, a standard silencer and a new device developed by the Associated Octel Company. Here are theboxplots from the data on noise reduction (in decibels) ofthe two filters. Type 1 = standard; Type 2 = Octel. ANOVA Table Source DFSum ofSquaresMeanSquare F-Ratio P-ValueType 1 6.31 6.31 0.7673 0.3874Error 33 271.47 8.22Total 34 2.77Means and Std DeviationsLevel n Mean StdDevStandard 18 81.5556 3.2166Octel 17 80.7059 2.43708a) What are the null and alternative hypotheses?b) What do you conclude from the ANOVA table?c) Do the assumptions for the test seem to be reasonable?d) Perform a two-sample pooled t-test of the difference.What P-value do you get? Show that the square of thet-statistic is the same (to rounding error) as the F-ratio.Han Samples are collected from the River X and pH values are observed. 9 different pH values are listed in table 3. Table 3 Concentrations 4.2 3.8 6.0 3.5 8.1 4.9 4.1 3.2 4.0Draw box plot and find a. Bowley’s coefficient of skewness b. Karl Pearson’s coefficient of skewness c. Third moment
- Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fullybiodegradable and biocompatible, is obtained from renewableresources. From a sustainability perspective, PHB offers many attractiveproperties though it is more expensive to produce than standardplastics. The accompanying data on melting point (C) for each of 12 specimens of the polymer using a differential scanning calorimeterappeared in the article "The Melting Behaviour of Poly (3- Hydroxybutyrate) by DSC. Reproduciblety Study" (Polymer Testing, 2013:215-220). 180.5 181.7 180.9 181.6 182.6 181.6 181.3 182.1 182.1 180.3 181.7 180.5 Compute the following:a. The sample range b. The sample variance s from the definition [Hint: First subtract180 from each observation.]c. The sample standard deviationd. s using the shortcut methodAn urban community wants to show that the incidence of breast cancer is higher in their locality than in a neighboring rural area. (PCB levels were found to be higher in the soil of the urban community). If you find that in the urban community 20 out of 200 adult women have breast cancer and that in the rural community 10 out of 150 adult women have it, could you conclude, at a significance level of 0.05, that breast cancer is more prevalent in the urban community?1. The parameter of interest is:2. The hypotheses for this test are:3. The calculated test statistic is:4. The critical region is:5. Draw the critical region (make decision):6. It can be concluded that:Table below shows the results obtained in an investigation into the stability of a fluorescent reagent stored under different conditions. The values given are fluorescence signals (in arbitrary units) from dilute solutions of equal concentration. Three replicate measurements were made on each sample. Conditions Trial 1 Trial 2 Trial 3 Freshly prepared 102 100 101 Stored for 1 hr in the dark 101 101 104 Stored for 1 hr in subdued light 97 95 99 Stored for 1 hr in bright light 90 92 94 Is there any significant difference in the conditions applied to the stability of the reagent?