(e) R was used to generate 20 bootstrap samples of size 8 and their means were calculated asshown below:0.100.350.160.210.160.450.070.220.150.180.170.30 0.130.170.170.140.17 0.100.470.41i) Calculate the bootstrap estimate of the bias of the sample mean.ii) Hence calculate the bootstrap bias corrected mean estimate.

Given data:- R was used to generate 20 bootstrap samples of size 8 and their means were calculated…

Answered: (e) R was used to generate 20 bootstrap…

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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This is the data table 1.682 1.677 1.681 1.684 1.679 1.686 1.684 1.684 1.673 1.685 1.682 1.675
A new production process is being contemplated for the manufacture of stainless steel bearings. Measurements of the diameters of random samples of bearings from the old and the new processes produced the following data: Old: 16.3 15.9 15.8 16.2 16.1 16.0 15.7 15.8 15.9 16.1 16.3 16.1 15.8 15.7 15.8 15.7 New: 15.9 16.2 16.0 15.8 16.1 16.1 15.8 16.0 16.2 15.9 15.7 16.2 15.8 15.8 16.2 16.3 Can you conclude at the 5% level that one process yields a different mean size bearing than the other? a. b. Can you conclude at the 5% level that the variance of the new procedure is lower than the older procedure?
The following data represent petal lengths (in cm) for independent random samples of two species of iris. 5.0 5.8 6.1 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.9 5.2 5.2 1.4 1.8 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.6 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) x1= s1= x2= s2= (b) Let ?1 be the population mean for x1 and let ?2 be the population mean for x2. Find a 99% confidence interval for ?1 − ?2. (Round your answers to two decimal places.) lower limit= upper limit= (c) Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of confidence, is the…
The difference between a sample mean and its parameter is called: a. sampling error b. a biased statistic c. pool variance c. the standard error of means (SEM)
2.
For the population of one town, the number of siblings is distributed in a reverse J-shape with a mean of 1.3 and a standard deviation of 1.5. Determine the sampling distribution of the mean for samples of size 35. A) Approximately normal, mean = 1.3, standard deviation = 1.5B) Approximately normal, mean = 1.3, standard deviation = 0.25C) Exactly Normal, mean = 1.3, standard deviation = 1.5 D) Exactly Normal, mean = 1.3, standard deviation = 0.25
The data to the right represent the weights (in grams) of a random sample of 50 candies JLUre: 4 112%, 9 37 of 23 pts 0.85 0.85 0.87 0.86 Complete parts (a) through (f) 0.83 Question Heip O 0.82 0.78 0.78 0.83 0.85 0.84 0.85 0.83 0.94 0.77 0.83 0.93 0.96 0.72 0.99 0.75 0.86 0.82 0.77 0.84 0.83 0.71 0 93 0.77 0.72 0 82 0 89 0.88 0.94 087 081 075 0.76 0.82 0.79 0.87 (a) Determine the sample standard deviation weight. 0.82 0 84 087 0.91 0.92 0.73 0.86 0.82 0.89 gram(s) (Do not round until the final answer. Then round to three decimal places as needed.) 0:20 Enter your answer in the answer box and then click Check Answer Clear All 5 parts remaining 440 2021 P Type here to search 2021 OK F. F1 F2 K Es 7 8 96 #3 4. 2 A2 3\ 1 AI Yage (4 E Enter Tab G AShift S A M N aps Lock Del ns Alt
b) A small-town mechanic says that 8% his customers come in for an oil change. When 1000 samples were drawn from his records, it was found that 6.5% of these came in for an oil change. What is the target population? Does the value 8% refer to the parameter or to the statistic? Is the value 6.5% a parameter or a statistic? i. 11. 111.
5. It has been estimated that a HONDA car obtains a mean of 30 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds this estimate in highway driving. To support its assertion, the company randomly selects 64 HONDAcars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x = 31.2 miles per gallon, s = 8 miles per gallon. Test to determine if the mean of miles per gallon exceeds 30. Use a value of a = .025.
1. Test the hypothesis that the average content of containers of a particular lubricant is 10 liters if the contents of a random sample of 10 containers are 10.2, 9.7, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, and 9.8 liters. Use a 0.01 level of significance and assume that the distribution of contents is normal.
#5).
The lead time of producing a product is measured from the point of raw material acquisition tofinished product delivery. Ten randomly selected products of two different specifications aretested and the lead time measured. The data, in days, follow:Spec X: 2.9, 3.4, 2.8, 2.9, 2.7, 3.1, 3.5, 3.2, 3, 2.9Spec Y: 2.4, 2.2, 3, 2.8, 2.8, 3.3, 2.4, 2.5, 3.2, 2.8Test the hypothesis that both products have equal mean lead time. Use α = 0.05 and assumeboth are normally distributed with equal variances.

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