True or false: Discuss if False Heterosdasticity results to inefficiency of the OLS estimates which means that the estimates are inaccurate.

Q: How did we use Cochran's Theorem to develop inference procedures for variances? What kind of data…

A: Cochran's theorem is used to establish the results which is relating to the probability…

Q: Prove the general formula for interval estimation of ratio of population variance.

A: Statement:-  If x1,x2..... xn ~ N(μx, σx2) and y1, y2 .....ym ~ N(μy , σy2) are independent random…

Q: If there is a linear relationship between the response y (characteristic under study) and  an…

A: Let Y be the variable under study and X be any auxiliary variable which is correlated with Y. The…

Q: What are requirements for testing a claim about a population mean with a known?

A:

Q: What happens to the standard error of an estimate when the sample size in a SRS decreases?

A: Standard error: Standard error is a measure which explains how accurate are the sample means to…

Q: What happens to availability if the mean time between failures (MTTR) gets close to zero? Is it…

A:

Q: Explain Consistency and Asymptotic Normality of the OLS Estimators?

A: Let us consider the linear regression model- Where the outputs are denoted by yi, the associated…

Q: Give and explain one way to find minimum variance unbiased estimator.

A: Minimum variance unbiased estimator (MVUE):An unbiased estimator that has lower variance than any…

Q: Under what circumstances is it necessary or advisable to convert interval or ratio scale…

A: The non-parametric tests, also known as the distribution-free tests, are the statistical analysis…

Q: A number resulting from the manipulation of raw data according to certain specified procedures is…

A: Parameter:Any statistical measure based on all units in the population or computable characteristic…

Q: If we collect a sample of blood platlet counts much larger than the sample included with exercise 3,…

A: From the given information, the sample of blood platelet counts much larger than the sample.

Q: Suppose Golden and Blacky are both on guard, what is the average number of strangers to hear the 1st…

A: Here define probability  Probability of golden bark = p1 Probability of blacky bark = p2

Q: . Refers to any measurable quantity calculated from the sample.

A: A statistic Refers to any measurable quantity calculated from the sample.

Q: How measures of central tendency and measures of dispersion are complementary to each other while…

A: Please find the explanation below. Thank you

Q: How is censored cases handled in the KM estimator? Let's consider the median survival time in…

A: Survival Analysis: The name of the variable containing the time to reach the event of interest or…

Q: If a type one errors made what conclusion will be drawn regarding the mean breaking strength

A: Let us assume mean breaking strength is X So, Null Hypothesis, H0: Mean breaking strength ≤ X…

Q: What is the standard error of the point estimate vou calculated for the previous question?

A: We have given that  Sample size n= 1000 Favorable cases x= 89 Sample proportion p^=x/n = 89/1000 =…

Q: The length of 100 movies was recorded and the standard deviation was computed. This would be a:…

A: We have given that The length of 100 movies was recorded and the standard deviation was computed

Q: Discuss the concept cases and formulas regarding Statistical Inference of Two Samples.

A: Given information: Statistical inference is the process of drawing conclusions about populations…

Q: Why researcher use different estimation method in order to do their research?

A:

Q: In the real world, what are some examples of data sources that, even with large sample sizes, will…

A: The Central Limit Theorem says that when the mean of the samples are taken then it is approximately…

Q: The central limit theorem is vital in statistics for two main reasons—the normality assumption and…

A: The central limit theorem states that the sampling distribution of any distribution, if you do it so…

Q: Why is that the mean (µ)  and standard deviation (σ) of populations are difficult/ impossible to…

A: Introduction :-  Here we have to describe or to give reasons to question why population study is…

Q: Outliers are extremely small or large data values that require special consideration. True or False?

A: Answer: True

Q: The maximum difference between the point estimate of a parameter and the actual value of the…

A:

Q: What is Multicollineaity? Discuss causes and consequences of multicollineaity for OLS…

A: Definition of multicolinearity

Q: As the sample size increases, standard error of the mean decreases. Explain whether or not this…

A: Given : Assertion : As the sample size increases, standard error of the mean decreases

Q: The estimated standard error is a measure of central tendency

A: The estimated standard error is a measure of central tendency :

Q: The Crude Mortality Rate in Community A was higher than the Crude Mortality Rate in Community B, but…

A:

Q: We use information about populations to make conclusions about our samples. * TRUE FALSE

A: Given statement :  We use information about populations to  make conclusions about our samples

Q: Given a normally distributed data, what is the area of the region less than one standard deviation…

A: Given that  Empirical rule: Approximately 68% of a data from a normal distribution lies within 1…

Q: It is the more reliable average when there are extremely large or extremely small values.

A: Answer is  MEDIAN

Q: It is widely claimed that a histogram is skewed to the left when the median is greater than the mean…

A: Relationship between mean and median: The value of mean is equal to the median when the…

Q: Explain whether homogeneity of variance is satisfied for this analysis, and be clear on how you…

A: Homogeneity of Variance: Homogeneity of variance (homoscedasticity) is a crucial assumption shared…

Q: True or false: The point estimate for the population mean of an xdistribution is computed from a…

A: Given statement isThe point estimate for the population mean of an xdistribution is computed from a…

Q: In a test of significance, the hypotheses are stated in terms of: statistics. statistics or…

A: Answer : we know that test of significance  is a procedure to access the truth of a hypothesis…

Q: what is the meaning of weighted unifrac beta diversity and unweighted unifrac diversity? How to…

A: There are two versions of UniFrac distances an unweighted UniFrac distance and weighted UniFrac…

Q: There (is/is not) enough evidence at the ___% level of significance to (support/ Reject) the claim…

A: Here, the null hypothesis is rejected.

Q: To estimate population mean, it is better to use point estimate rather than interval estimate !…

A: We know that,  To estimate population mean, point estimate is better than interval estimate.

Q: the homogeneity of variances assumption states that the variance in the two samples must be equal?…

A: Homogeneity of variances always make about the population variance not about sample.

Q: An excess of high values for the cases distributed on a graph results in a positive skew in the…

A: Skewness :  It is a measure of the symmetry of a distribution. The highest point of a distribution…

Q: In our ANOVA calculation, we want our within-group variation to be higher than the between-group…

A: Question based on ANOVA

Q: Should we conclude (for this second study) that the mean birthweight of children is higher (at level…

A: Given that there are 100 pairs of women. degrees of freedom: df=n-1=100-1=99 Test statistic:…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.