Let b be a parameter we want to estimate. We collect the data, and calculate an...

Let b be a parameter we want to estimate. We collect the data, and calculate an estimator for b using the data. What does it mean for this estimator to be unbiased? choose one correct answer.

1. The variance of the estimator decays to zero as we collect more and more data in the calculation.

2. The covariance between b and the estimator equals zero.

3. Th estimator becomes closer and closer to b as we collect more and more data in the calculation.

4. The expected value of the estimator equals b.

Expert Solution

Ans - 4) The expected value of the estimator equals b.

Explanation:

An estimator is said to be unbiased estimator if the expected value of the estimator is equal to the parameter.

Rahul Sunny answered 2 years ago

7. Suppose that next year we again will collect data and will want to estimate the...

7. Suppose that next year we again will collect data and will want to estimate the mean height of the entire female/male SCC student body. The minimum sample size we need to take depends on what confidence level and margin of error we specify. (n≥30, use section 6.1 as a guide for this question, use ? = (s) answer from 2c, remember round answers up!) a. Determine the minimum sample size needed to be 94% confident that the sample mean...

I want to calculate a sample size before I collect CATEGORICAL data. If I want no...

I want to calculate a sample size before I collect CATEGORICAL data. If I want no more than 3% margin of error find the sample size I would need for the following intervals. a8) 85% a9) 90% a10) 95% Repeat a8 - 10, but this time with a 5% margin of error a11) 85% a12) 90% a13) 95%

When we collect information for research purposes, we collect raw data. This data is great, but...

When we collect information for research purposes, we collect raw data. This data is great, but doesn't always end up meaning a whole lot until we draw some conclusions, organize it and look for patterns. When we organize it a bit, it then becomes what we can consider information. Information is a lot more useful than raw data. In 200 words Do any of you collect data at work? How can you best take raw data and ensure that it...

We want to estimate the proportion of people who have or are carriers of hepatitis B...

We want to estimate the proportion of people who have or are carriers of hepatitis B in a certain country, using 90% confidence and with a desired margin of error of 1.5%. What size sample should be used if: a. no prior estimate of the desired proportion is known. (6 pts.) b. a pilot study suggests that the proportion is 6%

If we have data on both sales revenue and price levels. We want to estimate how...

If we have data on both sales revenue and price levels. We want to estimate how relevant the effect of price on sales is meaning we would like to regress sales on price. But someone already used THE SAME data set to regress price on sales and found it to have a coefficient of determination equal to 0.45. Would we still need to run the regression of sales on price in order to find out the associated coefficient of determination?...

Suppose I want to estimate the effect of exercising on GPA. I collect a random sample...

Suppose I want to estimate the effect of exercising on GPA. I collect a random sample of data. For each individual, I collected the current GPA (variable GPA measured 0-4) and an average number of hours spent exercising during a week (variable excer in hours). a) Write down the population model.(2pts) b) Suppose the sample covariance between GPA and exercising is 100 and suppose that the variance of the variable excer is 200. Also, it was calculated that the average...

Consider the situation of this chapter, where we have to estimate the parameter N from a...

Consider the situation of this chapter, where we have to estimate the parameter N from a sample x1,...,xn drawn without replacement from the numbers {1,...,N}. To keep it simple, we consider n = 2. Let M = M2 be the maximum of X1 and X2. We have found that T2 = 3M/2 − 1 is a good unbiased estimator for N. We want to construct a new unbiased estimator T3 based on the minimum L of X1 and X2. In...

a) Explain the difference between a statistic and a parameter. b) Is it possible to calculate...

a) Explain the difference between a statistic and a parameter. b) Is it possible to calculate a parameter? Why or why not? c) Can you trust a statistic? Explain. d) Will statistics change from one sample to another? Why or why not?

Which is false? A. A statistic is used to estimate an unknown parameter B. Non sampling...

Which is false? A. A statistic is used to estimate an unknown parameter B. Non sampling errors can be present even when a census is taken C. Increase sample size to reduce bias D. Margin of error will get smaller when you increase sample size E. Variability describes how spread out the values of the sample statistic are when we take many samples.

f) Calculate a 90% confidence interval estimate of applying fertilizer B data for crop yield in...

f) Calculate a 90% confidence interval estimate of applying fertilizer B data for crop yield in all plots of lands and interpret your results. g) Assuming population mean of crop yield is 570 bushels for all fertilizers with standard deviation of 40 bushels for all. Formulate a test hypothesis that crop yield by applying fertilizer C differs from the population crop yield for all fertilizers. Conduct the hypothesis test, conclude your analysis and explain your answer. Use both critical value...

Question