Explain what the following two formulas are used for and why both are needed. O: Σ(x - μ) N VS. S = Σ(X-M)² n-1

Q: Evaluate the following: r (4)r re 1- 2- 61 (5.66) sr (0.66)

A: We know;  Γ(n) = (n-1)! =(n-1).(n-2).....3.2.1 = (n-1) Γ(n-1)

Q: Use exhaustive key search to decrypt the following ciphertext, which was encrypted using a Shift…

A: Given ciphertext BEEAKFYDJXUQYHYJIQRYHTYJIQFBQDUYJIIKFUHCQD. successively tried the Decryption keys.…

Q: An Urn contains 17 balls marked LOSE and 3 balls marked WIN.  You and an opponent take turns…

A: There is total 20 balls among which 17 balls are marked as LOSE and 3 balls are marked as WIN.

Q: a. Identify this variable's level of measurement and based on that, state the appropriate measure or…

A: Given data: Offender's relationship to the victim f Family member 1005 Intimate partner 1256…

Q: Books: Josephine has five chemistry books, three history books, and four statistics books. She wants…

A: Solution-: Given: Number of Chemistry books =5           Number of History books =3          Number…

Q: 6.4-6. Find the maximum likelihood estimates for ₁ = μ and 2 = 0² if a random sample of size 15 from…

A: The following solution is provided below :

Q: Complete the table: Has Diabetes Doesn't have Diabetes Total Positive 12 7 Negative Total 15 300

A: It is given that Total N = 300 N(has diabetes) = 15 N(diabetes, positive) = 12 N(no diabetes,…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 18.6…

A: Suppose the random variable x defines the length of the items.

Q: Interpret the confidence interval. A credit union took a random sample of 40 accounts and yielded…

A: Given information- Sample size, n = 40 Confidence level = 90% = 0.90 We have given the confidence…

Q: Suppose that 4₁, 4₂. Y is Sample of Where a random. From Gamma (x=3₁B=0) is not known • Check…

A:

Q: If it takes an average of 12 minutes to back a dozen cookies, what is the probability that it will…

A: Given that  Average minutes to back a dozen cookies = 12 X ~ Poisson(λ = 12)

Q: Given a cross power spectrum, Sxy (@) = XY Find the cross correlation function. anned with…

A:

Q: Use the given sample data to construct the indicated confidence interval for the population mean.…

A: The given scores are 71.6, 81.0, 88.9, 80.4, 78.1, 72.0.

Q: The Great Britain Office of Population Census and Surveys once collected data on a random sample of…

A: Correlation means the change in one variable affects the change in the values of another variable.…

Q: This figure shows a distribution in the form of a histogram. This distribution has which of the…

A: Please find the explanation below. Thank you.

Q: Data was collected for 367 randomly selected 10-minute intervals. For each ten-minute interval, the…

A: Given that: A histogram is provided that displayed a random sample of n=367 individuals selected…

Q: Assume that blood pressure readings are normally distributed with a mean of 120 and standard…

A: The following information has been provided: Let X be a random variable represents the  blood…

Q: Pr(A) := lim n→∞ |An [1, n]| n exists and Pr(A) = {0, 1] that that F is an algebra (which is to say…

A:

Q: 4. Suppose that Y₁, Y₂..Ym is a random sample of size m from Gamma (a = 3,ß = 6), where 0 is not…

A:

Q: For this question suppose you want to select a sample of 1000 New Yorkers. 1. If we want our sample…

A:

Q: 2, 3, 6, 8, 9 1. find the range 2. Use the defining formula to compute the sample standard…

A: Introduction: A summary statistic that captures a dataset's degrees of displacement is considered a…

Q: Let Y₁, Y2, Y3, Y4, Y5 and X₁, X2,..., X, be independent and normally distributed random samples…

A:

Q: suppose each employee in the company receives a $3000 raise for next year (each employee's salary is…

A: It is given that the salary of each employee is increased by $3000.

Q: Based on the data below, what is the z-score for a score of 91? 89 86 88 90 90 91 87 89 91 89 87 85…

A: The given data set is, The no.of observations are, n = 70

Q: You wish to investigate factors that could affect cooking noodles. a. What would you use as a…

A: Factors that could affect cooking noodles :  Response variable and source of variability and steps…

Q: The table below shows a probability density function for the discrete random variable X, the number…

A:

Q: In a small private college, 80 students play baseball, 70 students play football, 50 students play…

A: Given that We have to the probability that he/she

Q: Assume that a distribution of 10000 scores is normally distributed with a mean of 90 and a standard…

A:

Q: For an independent-measures two-factor analysis of variance, all F-ratios use the same denominator.…

A: The answer and explanation of the question is given below:

Q: 3. The registrar of a certain school claimed that the avera standard deviation of 4.5. To verity the…

A: The average IQ of students is 105 with standard deviation of 4.5 μ=105σ=4.5 The random sample of 30…

Q: 3. Refer to the random walk on the right. a) Find a transition matrix A so that p(n+1) = A p'(n). b)…

A: The transition matrix is a n×n matrix The probabilities of rows in a transition matrix is equal to…

Q: Determine the validity of an argument: A polygon is regular or a polygon has a side which is longer…

A: we have given : A polygon is regular or a polygon has a side that is longer than another side of…

Q: The required sample size is. (Round up to the nearest integer.) Could the sample be obtained from…

A: given data margin of error E = 2.5 yearsstandard devistion σ = 19.7 years90% ci, n = ?

Q: Suppose that a random sample X₁, X2, X20 follows an exponential distribution with ..., parameter B.…

A: i=1,2,3,...,20

Q: a) Create a 90% confidence interval for the level of cheating among high school students. Don't…

A: It is given that Sample size n = 4500 Sample proportion = 0.74 Level of confidence = 90%  Note :…

Q: Ice cream: A certain ice cream parlor offers seven flavors of ice cream. You want an ice cream cone…

A: The question is about counting Given : Total no. of flavors of ice cream ( n ) = 7 No. of scoops…

Q: 2. Researchers studying anthropometry collected various body and skeletal measurements for 507…

A: Given that We have to find the best variability:

Q: 1. Over the years, the mean IQ of freshmen applicants in a university in a province has been…

A: It is given that Sample size n = 85 Sample mean M = 94 Sample SD s = 10 Level of significance = 5% =…

Q: The following table shows the annual returns (in percent) for the Fidelity Latin America Fund and…

A: Given data: Latin America Canada -10.37 -14.29 40.56 25.78 -20.57 4.39 -15.6 26.91 2.61…

Q: some reports, the mean and coefficient of variation are given. For instance, one report gives the…

A: Given that  Mean = M = 2.6 Coefficient of variation = CV = 2.7% Standard deviation = SD = ?

Q: As of January 3, 2019, the US House of Representatives had the following demographics: U.S. House of…

A: Given that,     Political Party       Republican (B) Democrat (B') Total Gender Male (A) 183…

Q: Could you help me solve this?   This exercise provides an example of a pair of random vari- ables,…

A: The following solution is provided below:

Q: Subject 15 is an outlier in the y direction. Subject 18 is an outlier in the x direction. The…

A: Given: n = 18 Formula Used: Correlation coefficient r = n∑XY-∑X∑Yn∑X2-∑X2n∑Y2-∑Y2

Q: binomial probability experiment is conducted with the given parameters. Compute the probability of x…

A:

Q: 100 0000 0000 000 00 22 32 JT 42 JT ST 42 26 46 102 4.91 206 .66 E. see and 100. 1000 1206

A: Intoduction: It is required to identify the graphs that show clusters.

Q: In a study of the accuracy of fast food drive-through orders, one restaurant had 36 orders that were…

A: From the provided information, Sample size (n) = 346 From which 36 orders were not accurate. Sample…

Q: Standardized Test: You are trying to answer a multiple choice question on a standardized test. There…

A:

Q: Problem 4. A large company is conducting a study on commuting distance among its employees. A sample…

A: Solution: Given information: n1=35 Sample size of NewYork employeesn2=40  Sample size of  Chicago…

Q: The registrar of a certain school claimed that the average IQ of their students is 105 with a…

A: Given: population meanμ=105standard deviation(σ)=4.5Sample size(n)=30Sample meanx¯=103.34

Q: uppose there was a group of five balloons. Two balloons were chosen from the group (without…

A: There is a group of 5 balls, Two balls selected Probability given in Figure we have to calculate…