caps lockhift TtabONfnPart 3 of 3(c) How large would the sample need to be so that a 98% confidence interval would have a margin of error of 0.03?The sample size would need to beHesc16Skip Part→11Type here to search"72QANCheckTH1o *@2WS#3XaltED$1014CXRBI1 200%F5V5TG6&YBhp7HU8JNSave For Late-© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use55°Fto 144(19|||KMOLPaltG Contaminated water: Polychlorinated biphenyls (PCBS) are a group of synthetic oil-like chemicals that were at one time widely used as insulation inelectrical equipment and were discharged into rivers. They were discovered to be a health hazard and were banned in the 1970s. Assume that water samplesare being drawn from a river in order to estimate the PCB concentration. Suppose that a random sample of size 80 has a sample mean of 1.90 parts perbillion (ppb). Assume the population standard deviation is o = 0.26 ppb.Part 1 of 3▬▬esc(a) Construct a 98% confidence interval for the PCB concentration. Use tables or technology. Round your answers to at least two decimal places.The confidence interval is1.83 1.97Part 2 of 3Skip PartCheckType here to search122#*314$4DEt%56&74+Save For Later© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center55°F89hoSubmit.► 11d13/

Given information- Population standard deviation, σ = 0.26 ppb Let, Confidence interval = 0.98…

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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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Given a random sample of size n from a uniform population with a = 0, find an estimator for ß by the method of moments.
Example: Automatic machines are used to fill liquid detergent into bottles. In a sample of 20 randomly selected bottles, the filling quantities were measured and the sample variance was calculated as s² = 0.0153mm. • It was determined that if the variance of the detergent amounts exceeded o² = 0.01, the bottle was unacceptably under or overfilled. • It is assumed that the distribution of the filling amount is normal. Then, for a = 0.05 significance level, explain whether there is a problem of under- or over- filling the bottles with the manufacturer's detergent according to this sample data?
Experiment 3: Fifteen female CSCC students and 10 male CSCC students are randomly selected to determine if the mean time studying for females is significantly more than the mean study time for males. It can be assumed that all study times are normally distributed. Are these samples independent or dependent? Find the null and alternative hypothesis. H0: Ha:
1. You use a random sample of 1,002 individuals and estimate the following OLS model wage, = 10.6 + 1.2 * Schooling Where wage is measured in dollars per hour and schooling is measured in the number of years of education. You have also calculated TSS = 8,000 and SER = 2.00. a. If a person increases the number of years of schooling by 4 years, what is the predicted effect on their wage? b. The sample average for wage is $25/hour. What is the sample average for years of schooling? c. The sample covariance for wage and schooling is 2.15. What is the sample standard deviation for years of schooling? d. What is the R2? e. If the education variable is in months of schooling rather than years (assume a year of schooling is 12 months), what are R^2, SER and B1.?
If a point on a control chart falls outside one of the control limits, this suggests that the process variation is random and should not be investigated. O a. TRUE O b. FALSE PAGE NEXT PAGE ype here to search 99+ SUS
Suppose that you plot the residuals for your sample and get Figure 2. You should conclude that Select one: a. possibly homoskedastic and you would perform a correction for homoskedasticity. b. likely homoskedastic. c. possibly heteroskedastic and you would perform a formal test for heteroskedasticity. d. definitely heteroskedastic.
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds): 3.81 2.97 5.19 3.40 3.05 2.40 4.35 3.00 4.89 5.23 3.37 4.00 3.84 5.42 5.09 5.03 For this plot, the sample variance is . Another random sample of years for a second plot gave the following annual wheat production (in pounds): 3.53 3.65 3.89 4.19 3.44 3.42 3.58 3.83 3.46 4.32 3.58 3.45 3.77 3.54 3.48 4.07 For this plot, the sample variance is . Test the claim using that the population variance of annual wheat production for the first plot is larger than that for the second plot. Find (or estimate) the P-value of the sample…
Statistical Methods in Atmospheric Science
1. The data set LM10 in the following table are from an experiment that utilized a completely randomized design. Treatment 3.9 5.4 1.3 Source Treatment Error Total 2.4 2.0 0.7 df (1) (6) (9) Response 4.1 4.8 2.2 (a) Complete the following ANOVA table (fill in all values in boxes 1 through 10). ANOVA Table SS (2) (7) (10) MS (3) (8) 5.5 3.8 F 2.3 p-Value (5) (b) Test the null hypothesis Ho: #₁ = 2 = 3 versus the alternative hypothesis H₁: at least one pair of means differ. Draw your conclusion using a = 0.1.
5. A quality control engineer found that the inner and outer diameters of their ball bearings, denoted respectively as X and Y, are random variables with E(X|Y = y) = 0.7 – 0.3y inches and Var(X|Y = y) = 0.0004y for all values of y. From his past experience he also knew that the mean and variance of the outer diameters were E(Y) = 0.7 inches, and Var(Y) squared inches. = 0.0001 %3D • (i) What are the conditional random variables, E(X|Y) and Var(X|Y)? • (ii) Find the mean of the inner diameters, E(X). • (ii) Find the variance of the inner diameters, Var(X).
The titanium content of steel is determined in two laboratories by means of atomic absorptionspectrometry. The following data were obtained: Lab 1 0.470 0.484 0.463 0.449 0.482 0.454 0.477 0.409 Lab 2 0.529 0.490 0.489 0.512 0.486 0.502 - - A. Determine the variance of the measurement data obtained in the two laboratories.B. Is there any significant difference between these variances?
Given that we have a mass "x" (in grams) of a certain object and it will be estimated using the average of several measurements. Suppose the measurements are treated independently and identically distributed random variables, each with mean "x" and variance 3. How many measurements need to be made so at least 95% sure that the estimate is within 0.7 grams of the real value? Note: Must be a whole number.

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