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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How to filter out large deviations from a series of real numbers?

I have a sonar sensor reading water level by measuring distance to the water's surface and sending back as a floating point number. It takes single measurement at fixed intervals and sends them right after. but every once in a while , due to…
Allahjane
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Intro Stats problem-finding sample size with confidence interval and margin of error

I am taking an introductory stats class and I am a bit confused to an assinment question this week. The problem has to do with finding the minimum sample size for a given confidence interval and margin of error. The problem asks- I want you to…
Anthony
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Chi-squared goodness of fit test.. Where is my error?

The types of raw materials used to construct stone tools found at the archaelogical site Casa del Rito are shown below. A random sample of 1486 stone tools was obtained from a current excavation site. I'm trying to run a Chi-squared goodness of fit…
user637978
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Formula to estimate future cost per staff member based on historical data

I have a data set that contains the following for 5 years (though I can get more years): Total expenditure on equipment for staff Total number of staff Expenditure per staff member The expenditure per staff member is a derived statistic arrived at…
tmnsnmt
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How To Calculate a Weighted Payout Table

I am looking to see if there is some sort of formula I can use to calculate weighted payout tables. I am looking for something similar to the PGA payout distribution, but the problem is I want my payout table to be flexible to accommodate a variable…
H. Ferrence
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How to apply probability AND formula on this table below?Can easily be calculated just looking at table but struggling to apply the fornmual.

$\begin{array}{|c|c|c|c|} \hline & X = a & X = b & Total \\ \hline Y = c & 20 & 70 & 90 \\ \hline Y = d & 15 & 45 & 60 \\ \hline Total & 35 & 115 & 150 \\ …
Talha Abid
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Self-Study: Recursive Random Variable Transformations & Their Stationary Distributions

I have come across this particular problem in my research. I have a background in mathematical statistics and have attempted to solve this problem for some time but alas I have not made much progress. The problem I wish to solve is of the following…
dsmalenb
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Showing square sum of regression is chi square distribution with p degree of freedom, where p is number of coeeficient.

b is the least square estimator of the general linear model $Y=X{\beta}$ where X is a n x p design matrix and $ Y\in R^p, {\beta}\in R^n$. I want to prove blue part below. I worked some as you can find in the image I attached. But I found…
Horselook
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Find required amount using target value and percentage

In my example, 2.85% of website traffic converts a sale. There are 50 items, how much traffic is required to covert 50 sales? What is the formula?
Kyle Underhill
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If you are dealt a hand of three cards from a conventional 52 card pack, what is the probability that your hand will include the Ace of Spades?

I have a statistics question: If you are dealt a hand of three cards (without replacement) from a conventional 52 card pack, what is the probability that your hand will include the Ace of Spades? My thoughts on it are that P(Ace of Spades) = (3/52)…
Ana Wilmer
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Combining two ratios in a pastry ingredient

To make ‘short’ pastry one uses flour to fat in the ratio 2 : 1. To make ‘flaky’ pastry requires a ratio of 4 : 3. If I have 29 kg of flour and 20 kg of fat and wish to use all the ingredients making some of each type of pastry. How much flaky…
Worldly-Guest8115
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Calculate the probability of two teams have been drawns

If we know that team A had a $39\%$ chance of winning and team B $43\%$ chance of winning, how we can calculate the probability of the teams drawn? My textbook mention the answer but I cannot understand the logic behind it. The answer is $18\%$. As…
bman
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Verification and hint for my answers to a basic statistics table

Sorry if this question seems very basic. I tried to find the answer by goolging. But because I do not know the correct keyword cannot find anything. This is a basic statistics problem. I attempted questions but I need them to get verified. I also do…
bman
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Find a posterior mean estimator

Assume $ X_1, X_2,... X_N$ are IID Gamma($r$ , $ \lambda$). Where r is constant. Find the posterior mean estimator of $\lambda$ for the $ \Gamma(l,k)$ prior. So I know I need to find $E[\lambda|X] = \lambda *\Pi(\lambda|X) d\lambda)$ I believe that…
Kevin Liang
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What is the exact definition of alpha and the significance level?

I understand the alpha is 1-the confidence level. I heard 2 things about the alpha aka the significance level, and they seem to contradict in my view. They are: Alpha is the probability of incorrectly rejecting the null hypothesis ie saying…
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