(1) Crypto-bro Brody is back, and claims that he averages a net gain on crypto every day. He says he hasdata to back his claim. Brody takes a sample of n = 30 days and find his sample average of money made is X = : 1in thousands of dollars. Assume n = 30 is a large enough sample that the Central Limit Theorem applies, and thatthe true standard deviation of money (in thousands) that Brody makes a day is o = 20.(a) Write out the hypotheses (null and alternative, in proper notation) for the test of whether Brody's claimthat he averages a net gain is true or not.(b) Based on the Central Limit Theorem, what is the distribution of X under the null hypothesis?(c) Use python or your calculator to calculate the p-value for the hypothesis test. Hint: your probabilitystatement that represents the p-value will be P(X > 1).(d) Make a conclusion using a = .05 for the hypothesis test and explain what this means practically aboutBrody's claim.

Sample size (n)=30 Sample mean=1 Population standard deviation =20 a..Test hypothesis whether…

Answered: (1) Crypto-bro Brody is back, and…

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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In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 58 acres. Suppose we randomly survey 41 farmers from 1940. The middle 50% of the distribution for X, the bounds of which form the distance represented by the IQR, lies between what two values? (Round your answers to two decimal places.)
In my last question, the formular for a & b is correct, however, the same formular for c is not...The difference should be "20" but I'm not sure why this isn't calculating to "20". Here's the question: A random sample of 24 items is drawn from a population whose standard deviation is unknown. The sample mean is x¯ = 880 and the sample standard deviation is s = 5. (c) Construct an interval estimate of μ with 99% confidence, assuming that s = 20. =880-20/SQRT(24)*2.81 = 868.528 =880+20/SQRT(24)*2.81 = 891.472
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There are several sections of Statistics; some in the morning and some in the afternoon. We randomly select n1 40 from the morning section and 44 from the afternoon section. The averages n2 of their scores are X1 76.3 for the morning section and X, = 71.9 for the afternoon section. The known standard deviations of their scores are 01 12.05 for the morning section and 02 13.06 for the afternoon section. Test the claim that the average for all students in the morning and afternoon section is the same. Use a a = 0.05 significance level. a. What is the negative critical region? Give your answer to two decimal places. z c. What is the test statistic? Give your answer to two decimal places. z = d. Do we reject or fail to reject the null hypothesis? OReject Ho OFail to reject Họ
Suppose that scores on a particular test are normally distributed with a mean of 130 and a standard deviation of 15 . What is the minimum score needed to be in the top 2% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place.
4. A very large population has a mean of 180 and a standard deviation of 24. One day a sample of 64 observations is taken. On another day a sample of 100 observations is taken. Which of the following is true? The standard error of the mean will be smaller with 64 observations. It is impossible to determine any of the above given the available information. The standard error of the mean will be larger with 64 observations. The standard error of the mean will be the same with either 64 or 100 observations.
Andrew plans to retire in 40 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal. What is the probability (assuming that past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 10%? What is the probability that the mean return will be less than 5%?
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#2) A large warehouse installed a security system a few years ago. Under an older system the managers estimated that they were losing an average of $678 worth of goods to thieves each week. A random sample of 36 weekly records under the current system showed that they were still losing an average of $650 worth of goods each week. The sample standard deviation was s = $93. Does this indicate that the average loss is different (either more or less) than the previous $678 per week? Use a 5% level of significance.
(b) Suppose that a doorway being constructed is to be used by a class of people whose heights are normally distributed with mean 70 cms. and standard deviation 3 cms. How long may the doorway be without causing more than 25% of the people to bump their heads? If the height of the doorway is fixed at 76 cms., how many persons out of 5000 are expected to bump their heads? (Given ¤(2) = 0.4762).
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In a recent year, grade 6 Ohio State public school students taking a mathematics assessment test had a mean score of 303.1 with a standard deviation of 36. Possible test scores could range from 0 to 1000. Assume that the scores were normally distributed. This is not a normal approximation, so do not correct for continuity. Find the probability that a student had a score higher than 295. Find the probability that a student had a score between 230 and 305. What is the highest score that would still place a student in the bottom 16% of the scores? If 4000 students are randomly selected, how many will have a test score that is less than 300? A random sample of 40 students is drawn from this population. What is the probability that the mean test score is greater than 290?

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