# What is Test: Definition and 1000 Discussions

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1. ### B Why is the test charge always positive?

why test charge is always positive ?
2. ### B Bell inequality test without polarisation?

Was trying to understand the inequality test. The only article ever that I've found that explains it simply is the 1981 article, Bringing home the atomic world: Quantum Mysteries For Anybody. All other explanations require trust and understanding of polarisation, which is a huge deal. So i now...
3. ### POTW A Test for Absolute Convergence of a Series

Let ##\{a_n\}_{n = 1}^\infty## be a sequence of real numbers such that for some real number ##p > 1##, ##\frac{a_n}{a_{n+1}} = 1 + \frac{p}{n} + b_n## where ##\sum b_n## converges absolutely. Show that ##\sum a_n## also converges absolutely.
4. ### Wiesen Mechanical Aptitude Test

Good day everybody, In a nutshell, I have to take the Wiesen Test for mechanical aptitude before this upcoming 24th, so less than a week from now. I am aware that this might seem a really simple task, and the theoretical concepts are indeed really easy, but the issue would be the timing; I will...
5. ### Jules Horowitz Reactor (JHR) Material Test Reactor

The JHR Material Test Reactor is currently under construction at the CEA Cadarache centre. https://jhrreactor.com/en/about/ The CEA began exploring the possibility of designing and building a new reactor to replace its material test reactor called Osiris* in the 1980s and 1990s. The JHR...
6. ### I Understanding the nth-term test for Divergence

There are several examples that i have looked at which are quite clear and straightforward, e.g ##\sum_{n=0}^\infty 2^n## it follows that ##\lim_{n \rightarrow \infty} {2^n}=∞## thus going with the theorem, the series diverges. Now let's look at the example below; ##\sum_{n=1}^\infty...
7. ### Understanding the Wilcoxon-signed Rank test

Reference; https://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test#:~:text=The Wilcoxon signed-rank test,-sample Student's t-test. I have managed to go through the literature (it is pretty straight forward). In general Wilcoxon-rank method applies to data with unequal variances otherwise...
8. ### Test of hypothesis for independent samples

Reference; https://www.statisticshowto.com/probability-and-statistics/t-test/ My question is, can we as well have 'subtract each ##x## score from each ##y## score?' thanks. ...t-tests after all are easy to comprehend; as long as one knows the types; i.e 1. indepedent sample tests (compares...
9. ### Solve the given problem that involves Test of Hypothesis

Consider the given table below; 109.99 112.46 153.23 111.60 128.47 108.27 94.33 92.98 112.57 76.72 129.59 136.12 My take; We shall use t-distribution as the given sample is less than ##30##. Therefore using ##(n-1)## degree of freedom and ##95\%## confidence level we shall...
10. ### Help needed with Varactor diode test circuit

In the circuit simulator there is no voltage at the Varactor cathodes when Vbias is zero, but depending on the Varactor I use on the breadboard it can be as high as 7.4 volts! There is minimal current through the series resistor when Vbias is applied in LTSPICE, but I always see a significant...
11. ### I Few Questions about: TU delft "A loophole-free Bell test"

Electrons in diamonds are not entangled. Is above statement correct? Spin of emitted fotons if detected separately would not show any correlation? Is above statement correct? Is there assumption that spin of emitted fotons cannot change when reflecting or passing through beam spliter? Or...
12. ### Make a test based on online available exercises (looking for websites)

Hi, a teacher and I have been looking for websites to take Math/Physics exercises from, put them together as a test, print it and pass it to students. I know there are many websites that give you tools to write your own exercises (mainly many LMSes). But we'd like to pick exercises already...
13. ### Divisibility Test: Determine if a Number is Divisible by 6, 8, 4

Mod note: Moved from technical forum section, so missing the usual sections. Hi am 16yo and i was unable to tackle this quiz even despite trying some online calculators. i hope someone can explain to me step by step. thanks In each of the following numbers without doing actual division...
14. ### A Why Statistical Theories of Mental Test Scores?

In 1968, Lord and Novick published a book called Statistical Theories of Mental Test Scores. I wonder why they used the adjective 'statistical'. Does this suggest that the theories mentioned are not psychological theories and, if so, what could be the meaning of such theories? Should these...
15. ### B Videos from Big Event 2015 (Växjö): Loophole free Bell test

vhttps://play.lnu.se/media/t/0_hgz7034c A.Zeilinger: The Future of Bell Experiments. https://play.lnu.se/media/t/0_6jkhpefo G. Weihs: Violation of Bell’s Inequality under Strict Einstein Locality Conditions https://play.lnu.se/media/t/0_q2r30syq R. Hanson: From the first loophole-free Bell...
16. ### Unable to use Cauchy's criterion to prove this Alternating test

For any fixed ##N##, we have $$|s_{N+k} - s_N| = | (-1)^{N+2} a_{N+1} + (-1)^{N+3}a_{N+2} + \cdots + (-1)^{N+k+1}a_{N+k} | \lt |a_{N+1}| + |a_{N+2}| + \cdots + |a_{N+k}|$$ Though, from ##\lim (a_n) = 0## we can establish ## n \geq N \implies |a_n| \lt \varepsilon##, that is all the individual...
17. ### Comp Sci Poker test: probability of Full House (confusion)

I'm studying this for poker test. This should not be memorized as this has 3,4 and 5 digit versions. Memorizing all of them isn't possible. So I need a way to calculate them. I'm trying to learn through this example. I'm not getting the process(I know math behind it ie permutations...
18. ### MHB Chi-square test vs K-S test of uniformity, is it necessary to normalize values between 0-1?

Say two digits numbers are given like 10,20,30,55,95,85,12,13,52...etc. Is it necessary to normalize them to numbers between 0 to 1? i.e 0.10 for 10, 0.20 for 20 and so on? I've read this to be the case for K-S test. But I'm not sure for chi-square test. I'm not 100% sure on this information as...
19. ### B Rolling Motion Test: Take the Challenge and Justify Your Answers

I am posting this to generate a parallel discussion to this ongoing thread. It seems that some participants in that thread have doubts and confusion about rolling motion that might be better addressed separately from the homework problem in question. It is a simple test of one's understanding...
20. ### Ways to test a switching IC like TOP266EG with a multimeter?

What are the ways to test a switching IC TOP266EG with a multimeter?(measuring it outside of card circuit)(after uninstalling the component from the card) Link to the datasheet: TOP266EG Datasheet(PDF) - Power Integrations, Inc. (alldatasheet.com) Here is the DATASHEET picture: TOP266EG...
21. ### I Shapiro-Wilks test and the order statistic

Given the Shapiro-Wilk test value W: where I'm interested in the numerator. If my data is sorted in ascending order, my understanding is that $x_(i) = x_i$. Is that correct?
22. ### MHB TEST OF HYPOTHESIS INVOLVING THE POPULATION MEAN 𝝁 WHEN THE VARIANCE IS UNKNOWN

1. You are working in a company facing attrition problems of the customer service representatives for the past five years. The company president proposed that if the attrition rate is at least 10 per month, then the salary scale, compensation package, and professional development programs for...
23. ### MHB Test of hypothesis involving the population mean 𝝁 when the variance is known

1. The Head of the Mathematics Department announced that the mean score of Grade 11 students in the second periodical test in Statistics was 89, and the standard deviation was 12. One student believed that the mean score was less than this, randomly selected 34 students, computed their mean...
24. ### Studying How do I study for test?

At this point I just can’t take a test. I split my 3rd year up to have a smaller course load to get higher grades for grad school and got 60s on almost every test. My friends who have double my course load do just as good if not better. I’ve given on grad at this point. For 2nd third year please...
25. ### How to test for a purity of a chemical compound

If you had this chemical compound, for example, how could you test if its pure? $$C_{15}H_{11}I_4NO_4$$

44. ### MHB Binomial Distribution: Likelihood Ratio Test for Equality of Several Proportions

$\newcommand{\szdp}[1]{\!\left(#1\right)} \newcommand{\szdb}[1]{\!\left[#1\right]}$ Problem Statement: A survey of voter sentiment was conducted in four midcity political wards to compare the fraction of voters favoring candidate $A.$ Random samples of $200$ voters were polled in each of the...
45. ### MHB Likelihood Ratio Test for Common Variance from Two Normal Distribution Samples

$\newcommand{\szdp}[1]{\!\left(#1\right)} \newcommand{\szdb}[1]{\!\left[#1\right]}$ Problem Statement: Let $S_1^2$ and $S_2^2$ denote, respectively, the variances of independent random samples of sizes $n$ and $m$ selected from normal distributions with means $\mu_1$ and $\mu_2$ and common...
46. ### Extracting mechanical properties from strain-stress plot (real test)

Hi everyone, recently I was working out an elasto-plastic model to make some residual stress predictions: see it here. Recently I got some real tensile tests results from a lab, therefore I would like to extract a better stress-strain curve to plug into my elasto-plastic model using the...