1. A melting point test of n=16 samples of a binder used in manufacturing rocketpropellant resulted in x = 198.5 degrees. Assume that the melting point is normallydistributed with 6-4 degrees. We want to test the following hypothesis at a=0.05.Ho: μ = 200, Η: μ + 200(a) Test the hypothesis using the critical regions.(b) Test the hypothesis using the p-value.

Answered: 1. A melting point test of n=16 samples…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following are measurements of the heat-producing capacity (in millions of calories per ton) of random samples of five specimens each of coal from two mines: Mine 1: Mine 2: 8380 8210 8360 7840 7910 7540 7720 7750 8100 7690 Below are the EXCEL outputs of the data at 95% confidence level: t-Test: Paired Two Sample for Means t-Test: Two-Sample Assuming Equal Vari MINE 1 MINE 2 MINE 1 MINE 2 7760 8140 63450 Mean Mean 8140 7760 Variance 42650 Variance 63450 42650 Observations Pooled Variance Observations Pearson Correlation-0.69059 Hypothesized Mear df 53050 Hypothesized Me df 4 8 t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 2.014279 t Stat 2.608621 0.05712 P(T<=t) one-tail t Critical one-tail 0.015599 1.859548 2.131847 0.11424 P(T<=t) two-tail 0.031197 2.306004 A. 2.776445 B. tCritical two-tail
Only solve 3 and 4 parts. With full SOLUTIONs ok
A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with = 2.1. (Round your answers to two decimal places.) (a) Compute a 95% CI for μ when n = 25 and x = 56.0. watts (b) Compute a 95% CI for μ when n = 100 and x = 56.0. watts (c) Compute a 99% CI for μ when n = 100 and x = 56.0. watts (d) Compute an 82% CI for μ when n = 100 and x = 56.0. watts (e) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole number.) n =
10:22 M 10. What are the two-tailed Critical Values of z at a = 0.01? Draw the diagram. 11. What are the two-tailed Critical Values of z at a = 0.10? Draw the diagram. 12. What is the upper tail Critical Value of z at a = 0.05? Draw the diagram. 13. What is the lower tail Critical Value of z at a = 0.10? Draw the diagram. O < 44% €
Here is one way in which nature regulates the size of animal populations: high population dehslty attracts predators, which remove a higher proportion of the population than when the density of the prey is low. One study looked at kelp perch and their common predator, the kelp bass. On each of four occasions, the researcher set up four large circular pens on sandy ocean bottoms off the coast of southern California. He randomly assigned young perch to 1 of 4 pens so that one pen had 10 perch, one pen had 20 perch, one pen had 40 perch and the final pen had 60 perch. then he dropped the nets protecting the pens, allowing bass to swarm in, and counted the number of perch killed after two hours. A regression analysis was performed on the 16 data points using x = number of perch in pen and y = proportion of perch killed. Here is a residual plot and a histogram of the residuals. 0,4 - 0.3 0.2 0.1- 0.0 -0.1 - -0.2- -0.3 - -0.4 10 20 30 40 50 60 Number of perch Starnes & Tabor, The Practice of…
A CI is desired for the true average stray-load loss (watts) for a certain type of induction motor when the line current held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with = 2.9. (Round your answers to two decimal places.) (a) Compute a 95% CI for μ when n = 25 and x = 59.1. watts (b) Compute a 95% CI for when n = 100 and x = 59.1. watts (c) Compute a 99% CI for μ when n = 100 and x = 59.1. watts (d) Compute an 82% CI for when n = 100 and x = 59.1. watts (e) How large must n be if the width of the 99% interval for is to be 1.0? (Round your answer up to the nearest whole number.) n =
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44
You are conducting quality control for a company that manufactures LED displays. The factory you are assessing is supposed to have a manufacturing defect rate of 1 in 100 LED displays. As part of your assessment, you want to verify this defect rate by analyzing a random sample of LED displays. You are planning to randomly sample 1500 displays from this factory and observe how many of them contain manufacturing defects. Let Zi be equal to 1 if the i’th display has a defect and 0 otherwise, for i = 1,...,1500. (a) What is the statistic that you will use to estimate the defect rate for this factory? How do you compute it using Z1, Z2, . . . , Z1500? (b) Assuming that the true defect rate for this factory is in fact 1 in 100 displays, can we approximate the sampling distribution of the statistic that you selected in part (a) using a normal distribution? Please state and check the requirements for applying the approximation, and identify the mean and standard deviation of the normal…
A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with o = 3.0. a. Compute a 95% CI for μ when n = 25 and н x = 58.3. b. Compute a 95% CI for μ when n = 100 and x = 58.3.
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. . TInterval (13.046,22.15) x=17.598 Sx=16.01712719 n=50 a. What is the number of degrees of freedom that should be used for finding the critical value tα/2? df=__ (Type a whole number.) b. Find the critical value tα/2corresponding to a 95% confidence level. tα/2= (Round to two decimal places as needed.) c. Give a brief general description of the number of degrees of freedom. A. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values. B. The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values. C. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary…
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