Module 1: Prediction Interval for Y (Full Version) Use the table to calculate the 99 % prediction interval for y at zo 15 y 5 32 6 33 7 39 8. 42 9 45 10 44 Regression Equation: ý = 2.828571r + 17.952381 %3D
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Round the following to 3 decimal places
Margin of Error E =
The 99% prediction interval for the value of y at x0=15 is between
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- a) Write the model equation (in terms of Y's, X's and parameters) that describes the parallel lines fit to the data in the graph. Make sure to define the terms clearly. and any assumptions for the model are clearly stateted. b) A Working-Hotelling Prediction interval for the mutual fund type at size =120 is (18,20). Interprete this interval. Then assess whether this would be more useful to a company of this size than the corresponding CI for the mean response.The quality department at ElectroTech is examining which of two microscope brands (Brand A or Brand B) to purchase. They have hired someone to inspect six circuit boards using both microscopes. Below result in terms of a number of defects (e.g., solder voids, misaligned components) found using each microscope. (Note that the data for two brands can be paired) State all the assumptions required to define the test statistic. State the test Statistic in notations first and then calculate its value Find the p-value Carry out test of hypotheses at 1% level of significance and state the conclusion in context of problem. Calculate 99% confidence interval for the true average difference in defects found for two microscope brands.MLE- Maximum Likelyhood estimator MME - Method of Moments estimator
- 1. Let μ denote the true average level of radioactivity of the water in a nuclear plant. Five (5) picocuries per liter is considered the dividing line between safe and unsafe water. a. State the null and alternate hypothesis you would test if you worked at the plant andexplain why you chose your alternate hypothesis.b. In the context of this situation, describe what happens if there is a type I error and type II error.The Specific Absorption Rate (SAR) for a cell phone measures the amount of radio frequency (RF) energy absorbed by the user's body when using the handset. Every cell phone emits RF energy. Different phone models have different SAR measures. To receive certification from the Federal Communications Commission (FCC) for sale in the United States, the SAR level for a cell phone must be no more than 1.5 watts per kilogram. A sample of 47 models was tested and the average of their Specific Absorption Rates (SARs) was found to be 1.18 watts per kilogram. Assume that the population standard deviation is 0.25 watts per kilogram. Construct a 90% confidence interval for the mean of the SARs for cell phones that received certification from FCC. Margin of error (if applicable): (Round the answer to 2 decimal places)The Specific Absorption Rate (SAR) for a cell phone measures the amount of radio frequency (RF) energy absorbed by the user's body when using the handset. Every cell phone emits RF energy. Different phone models have different SAR measures. To receive certification from the Federal Communications Commission (FCC) for sale in the United States, the SAR level for a cell phone must be no more than 1.5 watts per kilogram. A sample of 47 models was tested and the average of their Specific Absorption Rates (SARs) was found to be 1.18 watts per kilogram. Assume that the population standard deviation is 0.25 watts per kilogram. Construct a 90% confidence interval for the mean of the SARs for cell phones that received certification from FCC. Confidence interval:( , ) Interpretation: We are % confident that the mean of the SARs for cell phones that received certification from FCC is between watts per kilogram and watts per kilogram.
- The Specific Absorption Rate (SAR) for a cell phone measures the amount of radio frequency (RF) energy absorbed by the user's body when using the handset. Every cell phone emits RF energy. Different phone models have different SAR measures. To receive certification from the Federal Communications Commission (FCC) for sale in the United States, the SAR level for a cell phone must be no more than 1.5 watts per kilogram. A sample of 47 models was tested and the average of their Specific Absorption Rates (SARs) was found to be 1.18 watts per kilogram. Assume that the population standard deviation is 0.25 watts per kilogram. Construct a 90% confidence interval for the mean of the SARs for cell phones that received certification from FCC. Point estimate: =watts per kilogram (Round the answer to 2 decimal places) Confidence level % and �= , also �2= , and 1-�2= Critical values: (Round the answer to 2 decimal places) left= right=CONFLICT RESOLUTION 2 of 4 What is the critical z/t score at α = 0.05? The Center for the Study of Violence wants to determine whether conflict-resolution program in a particular high school reduces aggressive behavior among its students. For 8 students, aggression was measured both before and after they participated in the conflict resolution course. What is the critical z/t score at α = 0.05? Their scores are below:The daily dissolved oxygen concentration in a downstream from an industrial plant has been recorded for the past 10 days (see image). Suppose the minimum concentration required by the EPA is 2.0 mg/L. Perform a hypothesis test to determine whether the stream quality satisfies the EPA standard at the significance level of 5%. Indicate the parameters of interest, null and alternative hypotheses, and test statistic (with complete computations). What can you conclude? (Can the null hypothesis be rejected or not?)