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.
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- A law enforcement organization claims that their radargun is accurate to within 0.5 miles per hour for a courthearing. An independent organization hired to test theaccuracy of the radar gun conducted 12 tests on a projectilemoving at 60 miles per hour. Given the data inthe following table, determine if the radar gun can beused in court. State the hypothesis and base your commentson an appropriate α level.The article “Effect of Internal Gas Pressure on the Com- pression Strength of Beverage Cans and Plastic Bottles” (J. of Testing and Evaluation, 1993: 129–131) includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. What assumptions are necessary for your analysis? ( use ? = 0.01 )Suppose that samples of polythene bags from two manufacturers A and B are tested by a prospective buyer for bursting pressure, with the following results: If the prices are the same, which manufacture’s bags would be preferred by the buyer? Why?
- The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. Units made with aluminum wire have a defect rate of 10%. A redesigned manufacturing process, involving the use of gold wire, is being investigated. The goal is to reduce the rate of defects to 5% or less. Out of the first 100 units manufactured with gold wire, only 4 are defective. True or false: a) Since only 4% of the 100 units were defective, we can conclude that the goal has been reached. b) Although the sample percentage is under 5%, this may represent sampling variation, so the goal may not yet be reached. c) There is no use in testing the new process, because no matter what the result is, it could just be due to sampling variation. d) If we sample a large enough number of units, and if the percentage of defective units is far enough below 5%, then it is reasonable to conclude that the goal has been reached.An experiment to determine the effect of four different types of engine oil (A, B, C, and D) on the rolling friction coefficient of a car speed has been conducted. Three brands of car (Honda, Toyota, and Mazda) were chosen, and each engine oil was tested twice on each car, producing the following ANOVA output in Figure 2. i) How many treatments involved? Write down all the treatments ii) Identify the number of replication for each treatment. iii) Based on the ANOVA table above, find the values of W, X, Y and Z. iv) Test the interaction effect on rolling friction coefficient of car speed between the four different types of engine oil and the three different brands of car. v) Do we need to test for marginal effect? Give a reason.Consider the following summary data on the modulus of elasticity (✕ 106 psi) for lumber of three different grades. Grade J xi. si 1 9 1.61 0.21 2 9 1.55 0.25 3 9 1.44 0.23 Use this data and a significance level of 0.01 to test the null hypothesis of no difference in mean modulus of elasticity for the three grades. Calculate the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001 What can you conclude? Reject H0. At least two of the three grades appear to differ significantly. Reject H0. The three grades do not appear to differ significantly. Fail to reject H0. The three grades do not appear to differ significantly. Fail to reject H0. At least two of the three grades appear to differ significantly.
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- To test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying, 25 values obtained for alloyed wire yielded an average of 0.083 ohm with s = 0.003 ohm, and 25 values obtained for standard wire yielded an average of 0.086 ohm with s = 0.002 ohm. Use 5% level f significance to determine whether the claim has been substantiated. What is the computed value and decision?ONLY THE LAST ONE Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 5.9 7.2 7.3 6.3 8.1 6.8 7.0 7.5 6.8 6.5 7.0 6.3 7.9 9.0 8.4 8.7 7.8 9.7 7.4 7.7 9.7 8.2 7.7 11.6 11.3 11.8 10.7 The data below give accompanying strength observations for cylinders. 6.5 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.3 7.8 8.1 7.4 8.5 8.9 9.8 9.7 14.1 12.6 11.9 Prior to obtaining data, denote the beam strengths by X1, . . . , Xm and the cylinder strengths by Y1, . . . , Yn. Suppose that the Xi's constitute a random sample from a distribution with mean μ1 and standard deviation σ1 and that the Yi's form a random sample (independent of the Xi's) from another distribution with mean μ2 and standard deviation σ2. (a) Use rules of expected value to show that X − Y is an unbiased estimator of μ1 − μ2. E(X − Y) = E(X) − E(Y) = μ1 − μ2 E(X − Y) = E(X) − E(Y) 2 = μ1 − μ2 E(X − Y) = nm E(X) − E(Y) = μ1 − μ2 E(X −…A worker with a weight of 65 kg and a body surface area of 1.74 , performs physical work activities in several work environments as shown in the following table. The work activities of these workers require energy and a measured metabolic rate of 400 W/m2. During their work activities, the worker wears a coverall made of polyolefin and wears a headgear (1) Calculate the average WBGT of the work environment. (2) Perform an analysis related to the heat stress experienced by the worker, if the worker performs his work activities for 75% of his total working time and the rest is rest, (note: use TLV from ACGIH and ISO 7243)