Let a and b be any real numbers and let x = (x1,Xz -- -- Xp m-, X) be a data set with asample mean f and a sample variance s.Show that if y, = (ax, + b), then S3 = a*s;

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Answered: Let a and b be any real numbers and let…

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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Suppose we want to test the hypothesis that mothers with low socioeconomic status (SES) deliver babies whose birth weights are different from normal. To test this hypothesis, a random sample of 100 birth weights is selected from a list of full-term babies of SES mothers. The mean birth weight is found to be 115 oz. Suppose the average birth weight of all babies (based on nationwide surveys of millions of deliveries) is known to be 120 oz with = 24 oz. Set = .05 Assume all conditions are met, what is the p-value of their test? Give your answer to 4 decimal places.
The standard score of Maria in Algebra test is 1,0. Given that the grades are obtained by the students in this test are normally distributed, find the percentage of students whose marks are lower than Maria's. SSIAZ I VIHON
The frequency distribution table below is the net weight of a sample of candied fruit products in the food industry cans "ABC": - How many cans have a net weight of less than 20.2 grams. - If we want to compare about the distribution of net weight with the food company "XYZ" for the same type of product. And it is known that the average and variance is 20 grams and 0.04 grams. Which food company has an even distribution of net weight.
5a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 43 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,009 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,009 lb / 43 =163 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 182.4 lb and a standard deviation of 38.4.
If the masses of 300 students are normally distributed with mean 68 kgs and standard deviation 3 kgs. How many students have masses, (i) Greater than 72 kg (ii) Less than or equal to 64 kg
Albumin is a liver protein that helps with circulation of hormones, vitamins, and enzymes throughout our body. Reduced albumin concentrations have been associated with severe liness among individuals infected with COVID-19. Suppose we wanted to conduct a study to compare the mean Albumin concentration (gL) between a sample of adult patients hospitalized at MUSC for COVID-19 infection (g=32.8, s-6.0) to the mean Albumin concentration (gL) of healthy U.S. adults (u-34.1, os7.13). How many patients would we need to enroll from MUSC to conduct this study with 95% confidence, and 90% power? From: Chen T, Wu D, Chen H, et al. Clinical characteristics of 113 deceased patients with coronavirus disease 2019: retrospective study (published correction appears in BMJ. 2020 Mar 31;368.m 1295). BMJ. 2020;368:m1091. Published 2020 Mar 26. doi:10.1136/bmj.m1091 O 269 O 164 O 292 O 316
A distribution with u=55 and o=6 is being standardized so that the new mean and standard deviation will be u =50 and o=10.When the distribution is standardized,which value will be obtained for a score of x=58 from the original distribution? x=53 x=55 X=58 x=61
please include all steps. thank yoou.
Calculate estimates of the standard deviations sz, Sy of the samples r = (5,9, 7) and y = (-1,2,5) as well as the Pearson coefficient of correlation rry of r and y. Which of the following answers are correct? a) sz = 4, sy = 9 b) rzy = 0 c) sz = 2, sy = 3 d) Tzy = } e) rzy =

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Let a and b be any real numbers and let x = (x,. Xz ----Lp --,L) be a data set with a sample mean f and a sample variance s. Show that if y, = (ax, + b), then S = a°s