Prove that the maximal entropy of a discrete random variable is log, n (n being the number of possible values of the random variable) and is attained for P₁ = P₂ = = P₁ = 1/n.

Q: A sample of assistant professors on the business faculty at state-supported institutions in Ohio…

A: It is given that the mean is 72000 and the standard deviation is 3000.

Q: Find the 20%20% trimmed mean of the following data. If necessary, round to one more decimal place…

A: Given data is 29, 33, 37, 39, 40, 41, 42, 43, 43, 44, 45, 47, 48, 49, 52, 53, 54, 54, 55, 60 n=Total…

Q: Q5. The sampling distribution of mean is the hypothetical distribution of means from all Possible…

A: Here we have to check whether given statement is true or false  "The sampling distribution of mean…

Q: The mayor is interested in finding a 90% confidence interval for the mean number of pounds of trash…

A: GIvensample size(n)=177Mean(x)=35.4standard deviation(s)=6.2

Q: The least squares technique of fitting a curve to a set of data is based on: the sum of squared…

A:

Q: If n=41, ¯x=39, and s=16, construct a confidence interval at a 99% confidence level. Assume the data…

A: Given that  Sample size (n) = 41 Sample mean (x¯) = 39 Sample standard deviation (s) = 16 Confidence…

Q: Find the z-score that cuts off 35% in the tail on the right.  (Hint: if you can’t find that EXACT…

A:

Q: Strikeouts 260- 240 220 200 180 160 140 120 100 B. (Source: StatCrunch: 2011 MLB Pitching Stats…

A: Correlation defines how strong or weak association between two variables i.e., independent and…

Q: In a survey, 21 people were asked how much they spent on their child's last birthday gift. The…

A: Solution-: Given: x¯=36.4,n=21,s=11.4,c=0.80 We want to express C.I. (x¯±E)

Q: Statistical inference is the act of generalizing from a sample to a population with calculated…

A: First we have to understand about Stastical interference It is process for getting conclusion about…

Q: A Food Marketing Institute found that 38% of households spend more than $125 a week on groceries.…

A: (a) Obtain the distribution of sample proportion. The distribution of sample proportion is obtained…

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 35…

A: Here is two different questions So I am solving first

Q: 4.49 Do States with Higher Populations Have More Millionaires? The following table gives the number…

A: Given data: Table: State Millionaire(in thousands) Population(hundreds of thousands)…

Q: state are µ=$13,525 and o-$4,180, respectively. Suppose random samples of 100 are drawn from the…

A: A random sample of size 100 is drawn; n=100 The mean and standard deviation of vehicles is…

Q: The standard deviation of a sample is inversely proportional to the square root of its sample size.…

A:

Q: In 1977, men who were under 50 years old had a mean weight of 175 pounds, with a standard deviation…

A: Given: mean(μ)=175standard deviation(σ)=18

Q: Suppose we select 6 observations from each of three treatments. The appropriate degrees freedom are…

A: Here given we select 6 observations from each of three treatment  We have to find appropriate…

Q: Given the following transition matrix with states 1 and 2 as absorbing states, what is the…

A:

Q: Let the joint density of random variables x and y be given by the following: fx,y(x,y) = 0.158(x +…

A: As per the guidelines, solving first question when multiple questions are posted. Kindly re-post the…

Q: Your claim results in the following alternative hypothesis: Ha : p << 15% which you test at a…

A: Given that  Claim :  The proportion is less than 15% Alternative hypothesis Ha : p &lt; 15% Level of…

Q: Let X and Y be two random variables and let r, s, t, and u be real numbers. a. Show that Cov(X+s,…

A: Given: X and Y be two random variables and let r, s, t, and u be real numbers.  We have to show that…

Q: sures income in $10,000 for the 5 (hint: Xx). You decide to random of 11.

A: The distribution for particular type sampling for the structural basis which have the perspective…

Q: Each of the digits in a raffle is thought to have the same chance of occurrence. The table shows the…

A: Data is given for, digits and frequency We have to calculate chi-square stastics We have to answer…

Q: The following output models the factors that influence the price of a particular good. Calculate the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 6. Automobile magazine provides information on new car models for the Malaysian market in 2022,…

A: Given : Sample size (n) = 35 Fuel consumption in litres (X) 17.2 16.9 18 20 19.3…

Q: 1. Identify the measure of central tendency that is most appropriate to determine the following: The…

A: “Since you have posted multiple questions, we will solve first questionfor you. To get the remaining…

Q: Coefficient of Determination If the correlation between height and weight of a large group of people…

A: Coefficient of determination: Coefficient of determination is the percentage of variation in the…

Q: Rate My Professor Seth Wagerman, a former professor at California Lutheran University, went to the…

A: Assume that quality is defined as x and easiness is defined as y.

Q: A statistics teacher believes that the final exam grades for her business statistics class have a…

A: Given Normal distribution with  Mean =82   SD =8 We have to answer for mentioned questions

Q: Use a calculator with mean and sample standard deviation keys to find the sample mean reading  and…

A: It is given that the data in discrete form is  9.3, 8.8, 10.1, 8.5, 9.4, 9.8, 10.0, 9.9, 11.2, 12.1

Q: Two accounting professors decided to compare the variance of their grading procedures. To accomplish…

A: Given information- We have given that two accounting professors decided to compare the variance of…

Q: If there are three kinds of cat food an experimenter will be feeding to cats and measueing the…

A: Solution: The 0.05 level of significance, is there evidence of a difference in the mean amount of…

Q: The weight of a newborn is an example of O Quantitative discrete O Qualitative ordinal O Qualitative…

A: It is given that the statement about to the type of data variable. Here, need to find out the…

Q: ased on the data shown below, calculate the regression line (each value to at least two decimal…

A: Regression analysis is a mathematical measure of the average relationship between two or more…

Q: An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign…

A: a. Using Excel formula "=NORM.S.INV(1-(0.05/2))", the value of zα2 is obtained as 1.96. The…

Q: The SAT scores for students are normally distributed with a mean of 1150 and a standard deviation of…

A:

Q: The following data are the temperature of effluent at discharge from a sewage facility on…

A: The given data represents the effluent temperature at discharge from a sewage facility.

Q: need

A: The mode of the dataset is equal to the most frequent value of the data i.e value which occurs…

Q: The average grade for an exam is 74, and the standard deviation is 7. If 11.9% of the class is given…

A: Given: μ = 74 σ = 7 Formula Used: z-score = X-μσ

Q: How did you (1) get the x-table number (please show step by step without taking short-cuts. (2) how…

A: From the given information, it can be written as P33&lt;X&lt;43=0.40. Note that Z=X-μσ. Let us…

Q: A fitness center is interested in finding a 95% confidence interval for the mean number of days per…

A: Givensample size(n)=271Mean(x)=2.3standard deviation(s)=1.6confidence interval = 95%

Q: ot clear to me how did you find questio

A: Given: Mean years of service = 14.88889

Q: A newsgroup is interested in constructing a 99% confidence interval for the proportion of all…

A: Givensample size(n)=583x=372p^=xn=372583≅0.6381confidence level=99%

Q: hin 1 Distance o

A: Consumption of cigarette sticks for 30 Participants 4 10 4 7 8 7 8 7 9 3 6 2 3 9 9 4 10…

Q: The U.S. Federal Aviation Administration reported that passenger revenues on international flights…

A: The equation is also flipped around when calculating the financial rate of return if you know the…

Q: (c) Suppose n = 61 and p = 0.38. (For each answer, enter a number. Use 2 decimal places.) n-p= 23.18…

A: c) It is given that n=61 and p=0.38.

Q: Test the claim that the proportion of men who own cats is smaller than the proportion of women who…

A:

Q: 4.9 4: Regression Analysis: Exploring Associations between Variables Work and TV The scatterplot…

A: ( 4.9 ) For the given scatter plot Is the trend positive or negative? What does the direction of the…

Q: orms/d/e/1FAIpQLSfwjvZCJ6AjDdOt5bsxVgqr8s-ytVsd Tjfkgg TATxs9csBxtA/formResp The variance is equal…

A: Given data X:11,3,15,22,26,28,15,11,6,11,4,22,5 n=13 So, ΣX=179 ΣX2 =3327 Xbar =ΣX/n =179/13…

Q: 5. An average fee for an Information Technology Degree program at private universities in Malaysia…

A: Given average fee = 4081 N=100 Standard deviation =845 We have to calculate, 95%confidence interval…