Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [statistics]

Mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory and other branches of mathematics such as linear algebra and analysis.

Statistics is the science of the collection, organization, and interpretation of data. It deals with many aspects of data, which includes the planning of data collection in terms of the design of surveys and experiments. (From Wikipedia)

More specifically, mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory as well as other branches of mathematics such as linear algebra and mathematical analysis. (From Wikipedia)

For questions which are more generally about collecting and treating data, it is advised that you post your question on Cross Validated and DSSE.

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Finding the "module" value for a list of numbers

I have a list of numbers that all supposed to be near $X$ times of a basic "module" value. For example, $3.1$, $2.9$, $6.2$, $6.1$ are four values with a "module" value around $3$. I also know $X$ is limited to either $1$ or $2$, or $3$. For…
Ranta
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Method Recovery and Uncertainty

Can anyone help to solve? Without Standard deviation, i cannot calculate the uncertainty of method recovery. thank you.
Sai Kit
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Beginning statistics, simple confidence interval problem

I am in a first statistics class and we have been covering confidence intervals. This seems like a confidence interval problem but I'm a bit thrown by it. The problem states: "A machine fills $100$-lb bags of dry concrete mix. Because of slight…
R R
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How to get the probability?

The amount,$A$ ,of wine in a bottle $~ N(1.05l,0.0004l^2)$ Casks are available which have a volume,$V$, which is $N(22l,0.16l^2)$. What is the probability the contents of $20$ randomly chosen bottles will fit inside a randomly chosen cask?The…
Jing
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Find the median lifetime

a certain type of light bulb has lifetimes that follows an exponential distribution with mean 1000 hours. Find the median lifetime. (ie the lifetime x such that 50% of the light bulbs fail before x.) The answer is 1000log2.I do not know to to get…
Jing
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Statistics Parameter Estimators

I've been struggling to figure out how to do the following question: question http://puu.sh/5AIRS.png Can anyone help me figure this out? Thanks.
Richard
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expected value hack-a-shaq problem

I am having trouble feeling confident i got the right answer here. i am not sure about the free throw calculation. my initial feelings were to do 80*.466 + 40*.466 + 0*.466 for the expected value of free throws vs. field goals which i calculated as…
student
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Statistics ( Cp type )

I do not understand and neither do I know where to look for the ideas for Cp type statistics and what is it used for. Could anybody provide some hint or tell me where to look this out.
sumo
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Statistics- normal distribution

$6000$ eggs in a large store have masses which are normally distributed. The mean mass of the eggs are $42$ grams with a standard deviation of $5.5$ grams. 1) $4000$ of the $6000$ eggs have masses greater than W grams. Estimate the value of $W$…
user112639
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test statistics and power function

Let $X_1$ and $X_2$ be independent and uniformly distributed on $(\Theta , \Theta + 1)$. Consider the two tests with critical regions $C_1$ and $C_2$ given by $C_1 = \left \{ (x_1, x_2)| x_1 ≥ .95 \right \}$ and $C_2 =\left \{ (x_1,x_2)|x_1 +x_2 ≥c…
ssandi
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How did they get this answer for critical value

I know how to get a critical value but I am not sure now how to do it when they added "when testing the claim that p = 1/2".... how did they get the answer for critical value ?
manual
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Probability and Percentages confusion

I read a study that said a $4000 increase in annual family income resulted in a .15 higher probability that the children in the family would graduate High school at 19. Assuming that that if the high school graduation rate (prior to income increase)…
user111984
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Create from multiple local ranks, a global one

I have a players, who have played in multiple games and each player is ranked local. For example: Player1 = {1,2,2,1,2,3,1} Player2 = {2,1,3} Now I want to create a global ranking from the locals. What is the best approach to do that? I tried it…
apzur
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Basic statistics

Possible Duplicate: What is the probability of a coin landing tails 7 times in a row in a series of 150 coin flips? I was wondering, if you flip a coin 100 times, what is the chance of getting 10 heads or 10 tails in a row? I think this could be…
Phil Kulak
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Calculating the maximum likelihood estimator given density function

Find the maximum likelihood estimator of the unknown parameter $\theta$ if $X_1, X_2,..., X_n $ is a sample from a distribution whose density function is $$ f_x(x) = (1/2)e^{-{|x-\theta|}}, -\infty < x < \infty $$ Hint: It might be easier to…
user111287
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