If X1, X2, ... , Xn constitute a random sample from apopulation with the mean μ, what condition must beimposed on the constants a1, a2, ... , an so thata1X1 + a2X2 +···+ anXnis an unbiased estimator of μ?

can you explain three outpots of coNNNNONication martris model with some examples ?

Explain what is meant by standard deviation and how to find it.  Find an example of a situation with a small data set and determine the standard deviation.  Explain what the standard deviation means in context of the situation.

Discuss what we mean by multipole moments.

Walmart collects data that depicts the number of customers who return merchandise for a refund. The following data shows the population returns for all 10 Tuesdays. 40 12 17 46 13 22 259 167 Assume that this same exact pattern of data were replicated for the next ten days. How would this affect the standard deviation for the new population with 20 items? (Hint: Find the standard deviation first). The standard deviation would not be changed. There is no way of knowing the exact impact without knowing how the mean is changed. The standard deviation would be doubled. The standard deviation would be cut in half.

Show that if ˆ is an unbiased estimator of θ andvar()ˆ Z 0, then ˆ 2 is not an unbiased estimator of θ 2.

Bias is a synonym for Mean Absolute Deviation. True False

What is the meaning of x ̅ ~ N (50, 2)?   1. The Sampling distribution is distributed normally with a mean of 50 and a standard deviation of 2   2. Sampling distribution of x is distributed normally with a mean of 2 and a standard deviation of 50   3. x is normally distributed with a mean of 50 and a standard deviation of 2   4. x-bar is normally distributed with a mean of 2 and a standard deviation of 50

Below n is the sample size, p is the population and p is the sample proportion.use the central limit theorem and th to-84 probability n=148 P=0.14

can you help me answer this questions:   1-A moving average is the average of the observations in the past few periods, where the number of terms in the average is the span. True False   2- All nominal data may be treated as ordinal data.   False True   3 - Phone numbers, Social Security numbers, and zip codes are typically treated as numerical variables.    True False   4 - Correlation is useful only for:   a.measuring the strength of a linear relationship. b.conveying the same information in a simpler format than a scatterplot. c.measuring the strength of a nonlinear relationship. d.assessing the weakness of a linear relationship.   5 - Which of the following will give the value for the third quartile? a. QUARTILE.INC(array, 0.25) b.QUARTILE.INC(array, 0.75) c. PERCENTILE.INC(array, 0.75)  d.DECILE.INC(array, 0.30)   6 -   _______  sampling applies to populations that are divided into natural subsets and allocates the appropriate proportion of samples to each subset.…