Tutorial 4: Estimations 1. A process producing bricks is known to yield output whose weights are normally distributed with a standard deviation of 0.12lb. A random sample of 40 bricks from a day’s output had a mean weight of 4.07lb. (i) Find a 99% confidence interval for the mean weight of all bricks produced on that day. (ii) Estimate the smallest sample size required if the error in estimating the population mean weight of all bricks is to be within 0.03lb with 95% confidence.
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Student Exploration: Sight vs. Sound Reactions Vocabulary: histogram‚ mean‚ normal distribution‚ range‚ standard deviation‚ stimulus Prior Knowledge Questions (Do these BEFORE using the Gizmo.) Most professional baseball pitchers can throw a fastball over 145 km/h (90 mph). This gives the batter less than half a second to read the pitch‚ decide whether to swing‚ and then try to hit the ball. No wonder hitting a baseball is considered one of the hardest things to do in sports! 1. What
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Chapter 12 Problems 1. Cash flow (LO2) Assume a corporation has earnings before depreciation and taxes of $100‚000‚ depreciation of $50‚000‚ and that it has a 30 percent tax bracket. Compute its cash flow using the format below. Earnings before depreciation and taxes _____ Depreciation _____ Earnings before taxes _____ Taxes @ 30% _____ Earnings after taxes _____ Depreciation _____
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it sold‚ and that units left unsold at the end of the season were sold at a loss that average 8 percent of wholesale price. Therefore‚ the stock out probability equal to 8%/(24%+8%)=25% so there are 75% probability of being less than mean+0.67*SD (standard deviation). According to z table‚ z equal to 0.67 when probability is 0.75. Therefore‚ we can calculate quantity for each style include the risk of stock out by using formulate Q*=mean+z*SD. Therefore‚ we can get the maximum order units for each
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I n t e r n a t i o n a l Te l e c o m m u n i c a t i o n U n i o n GSR 2013 Background paper THE ROLE OF STANDARDS IN A DIGITAL ECONOMY The views expressed in this paper are those of the author and do not necessarily reflect the opinions of ITU or its Membership. ITU 2013 All rights reserved. No part of this publication may be reproduced
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probability that the sample mean number of spots on the two dice is less than 7.5. n = 100 µ = 7 µ[pic] = 7 σ = 2.41 σ[pic] = 2.41 /[pic] |X |2 |3 |4 |5 | |P(X=x) |0.3333 |0.3333 |0.3333 | 1.00 | |P.X |199.9800 |99.9900 |0.0000 | 299.97 | |P².X | 119‚988.00
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accounting standards accounting standards Introduction to Accounting Standards Accounting is the art of recording transactions in the best manner possible. Accounting Standards are the policy documents issued by recognized expert accountancy bodies relating to various aspects of measurement‚ treatment and disclosure of accounting transactions and events. Every country has its own standards. Accounting Standards in India are issued by the Institute of Chartered Accountants of India (ICAI)
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13. Variance and Standard Deviation (expected). Using the data from problem 13‚ calculate the variance and standard deviation of the three investments‚ stock‚ corporate bond‚ and government bond. If the estimates for both the probabilities of the economy and the returns in each state of the economy are correct‚ which investment would you choose considering both risk and return? Why? ANSWER Variance of Stock = 0.10 x (0.25 – 0.033)2 + 0.15 x (0.12 – 0.033)2 + 0.50 x (0.04 – 0.033)2 + 0
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histogram of the 1990 returns. (ii) Produce a histogram of the 1998 returns. (iii) Find the mean‚ median‚ range and standard deviation for the 1990 returns. Annual Returns % (1990) Mean 12.91865979 Median 11.38 Standard Deviation 9.297513067 Range 75.01 (iv) Repeat part (iii) for the 1998 returns. Annual Returns % (1998) Mean 6.355463918 Median 5.4 Standard Deviation 5.170830853 Range 42.76 (v) Which was the better year for investors? • 1990 was the better year for investors
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TASK 1 As an experienced care worker you have been asked to mentor a new care worker. You plan to use a supervision session to explain about the duty of care and how this helps to protect individuals from harm and abuse. 1. Prepare a set of notes to help you in this supervision session. In these notes‚ you must include an explanation of: What is meant by duty of care? Health and social care organisations have what is called a duty of care towards the people they look after. That means that they
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