Calculate and interpret the standard deviation of X 3.Benford's law distribution Faked numbers in tax returns, invoices, orexpense account claims often display patterns that aren't present inlegitimate records. Some patterns, like too many round numbers, areobvious and easily avoided by a clever crook. Others are more subtle. It isa striking fact that the first digits of numbers in legitimate records oftenfollow a model known as Benford's law. Call the first digit of a randomlychosen record X for short. The probability distribution for X is shown here(note that a first digit can't be 0). Make a histogram of the probabilitydistribution. Describe its shape.9First digit1 2 3 4 5 6 7 8Probability 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046

The question is about probability distribution Given : To find : 1 ) Histogram 2 ) Std. deviation…

Answered: 3. Benford's law distribution Faked…

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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Pls help and use excel function for p value computation
Ages of Gamblers The mean age of a sample of 20 people who were playing the slot machines is 48.5 years, and the standard deviation is 6.8 years. The mean age of a sample of 31 people who were playing roulette is 54 with a standard deviation of 3.2 years. Can it be concluded at α=0.10 that the mean age of those playing the slot machines is less than those playing roulette? Use μ1 for the mean age of those playing slot machines. Assume the variables are normally distributed and the variances are unequal. (a)State the hypotheses and identify the claim with the correct hypothesis. H0: claim/not claim H1: claim/not claim This hypothesis test is a one-tailed/two tailed. P-value: = (b)Find the critical value(s). Round the answer(s) to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): (c)Compute the test value. Round the intermediate calculations to at least three decimal places and final answer to two decimal places. z=…
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A Show Time Remaining A The body lengths of deer mice are known to vary approximately normally, with mean 86 mm and standard deviation 8 mm. A research group is interested whether vitamin supplements will increase deer mouse body length. They select a random sample of 100 deer mice from the population of all deer mice that would ever receive vitamin supplements and observe their body lengths. Suppose the sample mean is calculated as 87.2 mm. Let u be the mean body length of deer mice who receive vitamin supplements. Provide the null and alternative hypotheses most appropriate for this situation. O A. Ho: H = 86 vs. Ha: P> 86 B. Họ: H = 87.2 vs. Hạ: µ 87.2 Reset Selection
Measuring lung function: One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV1. Assume the mean FEV1 for 10 -year-old boys is 2.1 liters and that the population standard deviation is =σ0.4 . A random sample of 35 10 -year-old boys who live in a community with high levels of ozone pollution are found to have a sample mean FEV1 of 1.98 liters. Can you conclude that the mean FEV1 in the high-pollution community differs from 2.1 liters? Use the =α0.10 level of significance and the P -value method with the TI-84 calculator. Part: 0 / 4 0 of 4 Parts Complete Part 1 of 4 State the appropriate null and alternate hypotheses. :H0 :H1 This hypothesis test is a ▼(Choose one) test.
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