Define the bias of an arbitrary estimator and show that if an estimator is unbiased then the square error is equal to its variance.

Q: assumptions are required to perform an analysis of variance.

A: What is Analysis of Variance (ANOVA)? Analysis of variance (ANOVA) is an analysis tool used in…

Q: . A sample of 60 women found that they run an average a  of 5km a week with a variance of 64.…

A: Given Data : For Sample 1 x̄1 = 5 s1 = 8 n1 = 60 For Sample 2 x̄2 = 3 s2…

Q: Which of the following is a good point estimator for the population variance?

A: The objective of the question is to identify a good point estimator for the population variance in…

Q: Two coworkers commute from the same building. They are interested if there is any variation in the…

A: Given that  n1=n2=20 Variance of first workers=12.1 Variance of second workers=16.9

Q: To obtain a maximum amount of variance, an item ought to have a degree of difficulty of what?

A: To obtain a maximum amount of variance an item ought to have a degree of difficulty is the number of…

Q: Noise pollution is measured in decibels. In Nevada any motorcycle made after 1980 may not be any…

A: The null and the alternative hypotheses are, Test statistic: Thus, the test statistic is 58.

Q: Two coworkers commute from the same building. They are interested in whether or not there is any…

A:

Q: The Fox TV network is considering replacing one of its prime-time crime investigation shows with a…

A:

Q: State the properties of Co- variance;

A:

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: Show that X is a sufficient estimator of the mean u of a normal population with the known variance…

A: X~N(μ,σ2)

Q: The researcher found that the model’s effect size was very large where R = .957. Furthermore, R2 =…

A:

Q: Two coworkers commute from the same building. They are interested in whether or not there is any…

A: Null Hypothesis : Variation in the commute time of two coworkers are same. Null Hypothesis: H0: σ1 =…

Q: An alternative hypothesis must include the anticipated direction of variance. True  False

A: We have given statement  "An alternative hypothesis must include the anticipated direction of…

Q: Two coworkers commute from the same building. They are interested in whether or not there is any…

A: Solution: 11. From the given information, the claim is that whether or not there is any variation in…

Q: If a set of data is normally distributed with a mean of 20 and a variance of 16, a z-score of -3.8…

A: Let raw score is X.  Then Z Score is given by, Z= (X- mu)/sigma Where mu is mean  And sigma  is…

Q: State the null and alternative hypothesis for the data

A: The hypothesis is the claim that is tested statistically. There are two types of the hypothesis…

Q: What is the quare root of variance?

A: Given : Variance (σ2) is given

Q: Two coworkers commute from the same building. They are interested in whether or not there is any…

A: The test is to check whether the first worker thinks that he is more consistent with his commute…

Q: Two coworkers commute from the same building. They are interested in whether or not there is any…

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Q: If the assumption of constant variance is violated, you can transform the response data True or…

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Q: How is it that estimates of variance can be used to test a hypothesis about means?

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Q: Consider a random variable X, with the following empirical pmf. Value X₁ 1 -1 2 O Probability p(x₁)…

A: The probability mass function of X is given.

Q: The mean age of children at the X College daycare center is 6. The ages are skewed in a negative…

A: μ=6 σ2= 5.1

Q: Express variance of a variable X in terms of conditional variances.

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Q: Two coworkers commute from the same building. They are interested in whether or not there is any…

A: The level of significance is, The variance of first worker's time is 12.2The variance of second…

Q: How did you get the variance for this problem ?

A: The sample size is 300, a quick google search shows that vegetarianism occurs at a rate of 5%…

Q: People spend huge sums of money for the purchase of magnets used to treat a wide variety of pains.…

A: From the provided information,

Q: Two coworkers commute from the same building. They are interested in whether or not there is any…

A:

Q: If covariance between X and Y variables is 10 and the variances of X and Y are respectively 16 and…

A: The objective is to find correlation coefficient

Q: The average number of students in the college of business is 56, with a variance of 5. The…

A: GivenMean(x)=56Varaince(σ2)=5standard deviation(σ)=5=2.2361Median  was greater than mean by

Q: what is the variance of the mean squared errors for this data set

A: The average number of people in a family attending college for various years is given in the table…

Q: You are conducting a study to see if students do better when they study all at once or in intervals.…

A: 1. Computing the values of the test statistics: The null and alternative hypotheses are: It is…

Q: Choose the alternative that best answer the questions: I. Perfect multicollinearity occurs when the…

A: In a regression model, the dependent variable has a linear relationship with the independent…

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.