12. To determine the weights of wi, w2 and wz of three objects A1, A2 and A3, the following weighingdesign was adopted. The objects were first weighed separately (A1 then A2 then A3) and then allthree (A1, A2 , A3) using ordinary two-parts balance. If the balancing weights in these four weighingare denoted by 1, 82, 83 and x4 respectively with the expected values and variances given byE(r1) = w1,E(r2) = w2,E(r3) = w3 E(x4) = wi + w2 + W3andVar(x;) = io?,i = 1,2, 3.(a) By an appropriate method of estimating w1, w2, and w3, generate their normal equations andpresent in a matrix form.(b) Hence or otherwise, find the least square estimators of w1, w2, and wz if V ar (x:) = io²,1, 2, 3.i =(c) Given that x12.2, r21.7, 2з — 6.0, 49.5 and σ=1.5, find the estimates for w andW3.

Given Information: Ex1=w1 , Ex2=w2, Ex3=w3Ex4=w1+w2+w3Varxi=iσ2

Answered: 12. To determine the weights of w1, w2…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

4. Suppose that we want to compare the cholestrol contents of four competing diet foods on the basis of the following data (in milligrams per package) which were obtained for three 6-ounce packages of each of the diet foods: Diet food A: 3.6 4.1 4.0 Diet food B: 3.1 3.2 3.9 Diet food C: 3.2 3.5 3.5 Diet food D: 3.5 3.8 3.8 a) Fill in the blanks below. b) Test at the 0.05 level of significance whether the differences among means obtained for the four competing diet foods (Diet A, B, C, D) are significant? Etable=4.07) ONE-WAY ANOVA TABLE Source of Degrees of Sum of Squares Mean Square F Variation Freedom Treatments ? 0.54 ? ? Error ? ? ? Total ? 1.18
2. Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are being compared in an air-pollution experiment. Researchers wish to determine whether the two types of instruments yield measurements having the same variability. The readings in the following table were recorded for the two instruments. Sulfur Monoxide Instrument A Instrument B 0.87 0.74 0.63 0,82 0.75 0.61 0.55 0,76 0,70 080 0.64 0.81 0,68 0,69 0.57 0,65 0,53
asap plz..hand written answer plz
(3-B is needed to answer it I am only asking for question 4.) 3) You go out and collect the following estimates of earthworms / acre:54,276 57,378 51,108 66,190 66,232 59,018 57,159These data yield the following: ̄y = 59,765.86, and s = 5,689.606a) Construct a 90% CI for these data.b) Construct a 99% CI for these data.c) Darwin once estimated that an acre of soil had about 50,000 worms in it. Is his estimateconsistent with the data above? (Historical note: His estimate was considered way too high inhis day). 4) Consider the results of 3(b). Notice that all the data fit within the 99% confidence interval. Is thisusually the case (in other words, will a 99% CI contain most of the observations)?Caution: a lot of people get this wrong! Here's a hint: suppose you had measured the worms in6000 acres (instead of just 7). What happens to the confidence interval? If you're not sure,substitute 6,000 for 7 in your calculation for (b) to see what happens.
6. A sample of 5 fathers and their eldest sons gave the following data about their weight in Kgs. Father (x): 65 60 67 63 74 Son (y): 49 45 57 40 60 CS Scanned with CamScanner
9. The following data was collected from 1 bag of Hershey Kisses®. Each Kiss® was weighed in grams with the wrapper and recorded in the table below. Hershey claims that there are 368 grams of chocolate in one bag. Hershey Kiss Weights in Grams 4.76 4.72 4.74 4.55 4.91 4.74 4.78 4.71 4.80 4.78 4.78 4.75 4.79 4.82 4.91 4.83 4.68 4.74 4.70 4.80 4.70 4.76 4.70 4.83 4.93 4.74 4.84 4.82 4.76 4.77 4.72 4.78 4.83 4.75 4.74 4.68 4.84 4.71 4.71 4.76 4.66 4.78 4.73 4.74 4.92 4.77 4.80 4.79 4.86 4.64 4.78 4.70 4.75 4.78 4.76 4.83 4.66 4.77 4.83 4.78 4.69 4.81 4.68 4.78 4.88 4.72 4.85 4.85 4.81 4.74 4.80 4.82 4.84 4.70 4.85 4.70 4.81 4.72 4.79 4.73 4.61 Standard Deviation & the Empirical Rule: Variation is a big factor in the analysis of most any data set and it will be very important to have a way of measuring it. Standard Deviation is one such measure. Find the Standard Deviation of the data. You can use the stdev or stdev.s functions in Excel. A bell-shaped…
4.) A person's muscle mass is expected to decrease with age. To explore this relationship, a researcher randomly selected 10 persons from ages 40 to 79 years old and measured their muscle mass (unit). The result is as follows: X (age) Y (muscle mass) 71 64 43 67 56 73 68 56 76 65 82 91 100 68 87 73 78 80 65 84 Based on the given data, do the following: a) Plot the scatter diagram of the given data. [3pts] b) Obtain the regression line equation. [4pts] c) Estimate the muscle mass when age of the person is 60 years old. [3pts] 5.) Recognize how each shape has transformed. [2pts each] a.) b.) c.)
32)
calculate the z-score of the data
a. has a drop down box of fail or reject b. first drop box is less or greater, second drop down is fail or reject. c. first drop box is less or greater, second drop down is fail or reject. The question is attached,
4. Find if A and B are independent, positively associated or negatively associaied from the data given below : (A) = 470, , (B) = 620 , (ĂB) = 320, N= 1000 beouben
3. The 4th decile for the given data is: f 1 1 9. 2 26 3 59 4 72 5 52 29 7 7 8 1 А. 5 С. 4 В. 3 D. 7

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS