IL Using Table- A, find the critical value(s) for each situation and draw the appropriate figure showing the critical region. 1. a 001, left- tailed 2. a- 5%, right- tailed 3. A two- tailed with a-0.005
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- What is the RPI index? How can the defective product rate of a production process be determined by using the RPI index? The average distribution range of 2 samples consisting of 4 units is R = 10.8 mm. The tolerance limit is plus – minus 10 mm. Calculate the RPI and evaluate if it will reject. What happens to the reject situation if the tolerance limit is plus-minus 20 mm?Indicate the most appropriate statistical analysis method for situations a - d below. a) Measurement of blood pressure in 4 groups of patients. b) Measurement of cholesterol before and after a patient has taken a drug to lower cholesterol. Ie. 2 measurements on each patient. (c) Comparison between the number of persons who have or do not have a disease of the circulatory system and their diet classified into one of three categories: vegetarian, mixed meat and vegetables and most meat. d) Measurement of how much weight affects the concentration of glucose in the blood.Below are the results for a One Way ANOVA analysis. The critical value was 2.7 and alpha = .05. Which of the following statements is true? A) The result is statistically significant because F ratio of 3.83 > critical value of 2.7 B) The result is statistically significant because p < .05 C) The result is not statistically significant because p < .05 Both A & B
- A,) find the critical values b) find the Z-scoreDetermine the critical value if given: n1 = 25; n2 = 22:; HA : µ < 5 and the level of significance is 10%Construct a relative frequency marginal distribution. x1 x2 x3 Relative frequency marginal distribution y1 30 25 30 enter your response here y2 30 15 50 enter your response here Relative frequency marginal distribution enter your response here enter your response here enter your response here 1 (Round to three decimal places as needed.)
- Find the t values that form the boundaries of the critical region for a two-tailed test with a = .05 for ear following sample sizes: n=4 n = 15 n=24Engro group, who recently sold its Engro foods start-up for a multi-million-rupees sum, islooking for another investment for fresh capital. It is considering an investment in coal (X) andsolar (Y) power plant. For that they had a collected data on 5 different characteristics. Amandahas applied k-means clustering to this data for k = 2. Given the following data:Table 5.1 Observations X Y 1 20 18 2 8 20 3 36 26 4 22 12 5 14 4 a) Which value of k is the most appropriate to categorize these investments? Justify yourchoice with calculations.b) The two cluster centers after the first round of execution. c) The final two clusters. d) Visually represent the clusters of both parts (b) and (c).At Quickie Car Wash, the wash process is advertised to take less than 7 minutes. Consequently, management has set a target average of 400 seconds for the wash process. Suppose the average range for a sample of 9 cars is 12 seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process. The UCLx equals enter your response here seconds and the LCLx equals enter your response here seconds. (Enter your responses rounded to two decimal places.)
- The personality trait of "Conscientiousness" (someone who is organized, responsible, and can control their impulses) has μ = 120 and σ =9. Test whether ARC students (n = 9, M = 126) differ on Conscientiousness. α = .05. Does the z score for the sample mean lie in the critical region (beyond the critical boundary)?You want to conduct a test to determine whether there are significant differences in the mean impurity levels for polymers produced with three different catalysts. Which statistical test is appropriate for this scenario? Select one: a. paired t test b. one-sample t test c. one-way ANOVA d. two-sample t testA certain dosage of radiation, measured in kilorads, must be given to the tumor near the brain. The dose delivered must be sufficient to kill the malignant cells but the aggregate dose must not exceed established tolerance levels for the brain. Two beams which would deliver radiation exposure to the cells will be used. The goal is to select certain beam durations that would generate the best dosage distribution by minimizing the radiation absorbed by the brain. The data for the radiation therapy is given below: a. Define the variable used: b. LP Model: c. Identify the feasible region d. Corner Points and the objective functions: e. Optimal Solution (final answer):
