Test the hypothesis that coin was unbiased?
545082
It is actually binomial with parameter p=0.5 and n=400. Since 400 is quite a large number, u can approximate this by the Normal distribution with the same mean and variance, which are, np=400 and np(1-p)=100.\n\nX ~ N(200,100)\n\nu wanna test that if 216 is within 95% interval.\n\nVariance=100\nSDev=10\n\n216-200=16,\n16/stdev=1.6\n\nso, 216 is 1.6 stdev from the mean 200. which is within +/-1.96(95% confidence interval. hence, the null hy is accepted, with 95% significance level.\n\n\n\nbtw, drbinsomething's solution is equivalent to mine. he directly test P as a random variable while I tested mean nP as the random variable. He didn't mention it, but he took P to be asymptotically Normal as I did. '1.96' only applies when the distribution is Gaussian/Normal.
805971
Here's how it works.  You want to test if there is an effect to something, say whether a medicine works.\n\nThe null hypothesis *assumes that the medicine does not work.  (The alternative hypothesis would then be that it does).  When you perform a significance test, you will get a p-value.  Let me explain p-values like this:\n\nYou know a coin comes up heads half the time; however, you would not be surprised if you flipped a coin 10 times and only got 4 heads.  This is obviously due to some slight random chance.\nBut how do we determine what is random chance and what is a real effect?  With a p-value.  The p-value tells us the probability that an event occurred solely due to random chance.\n\nIf you are testing the medicine and you get a p-value of 0.333, that says that, if the medicine isn't working, you'll get those results 1 in 3 times, just by chance.  But if the p-value is 0.001, that says that the results that you got are SO extreme, they would only occur 1 in 1000 times by chance.  Here, it seems likely that the medicine is having a significant effect.\n\nGenerally, 0.05 is considered a rough mark for whether or not some result is due to chance.
239680
try to find the proof first
135532
You can either look it up or determine it experimentally.\nI cant get much more specific without additional details.
1109801
toss a coin and then see if the answer feels right --- if it doesnt than choose the other option \n\nmake a choice and move on
977563
You need to give us a problem, but let's say the problem was:\n\nYou have ten coins (dimes or nickels) and they add up to 65 cents...\n\nYou could guess that you have 5 dimes and 5 nickels:\nGuess:\n5 dimes, 5 nickels\nCheck\n75 cents <-- too high\n\nSo try guessing 4 dimes and 6 nickels:\nGuess:\n4 dimes, 6 nickels\nCheck:\n70 cents <-- still too high\n\nFinally try guessing 3 dimes and 7 nickels:\nGuess:\n3 dimes, 7 nickels:\nCheck\n65 cents <-- correct answer.
1168457
all coins are graded according to their condition, so not all are the same.  Take it to a coin dealer, and see what they offer. It could be sold for about 1/3 more than they offer, but you have to find a buyer.
196079
Place a penny on a busy sidewalk (in a shopping mall) and notice how many people pass by it.  Then place a nickel and see if that number changes, and then a dime and then a quarter.  You should be able to chart a direct relation to the number of stop and pick a coin the more its value increases.  Thus you are observinb people's behavior when it comes to the time and effort to bend over and pick up a coin in relation to the relative worth of that coin.
274979
That's a tough one.  Thinking the only way would be to verify source of how/where data got input?\nHow else could this be done, plus this would be time consuming.\nDo you have more specifics?
1084118
Try Copper Test by points
491627
Try political Compass. It's an online test
532467
Yes, you place a pile of 6 coins on either side of the scales, which ever set of six is lighter you split into 2 sets of 3 coins and do the same, then with the lightest set of 3 coins, you weigh 2 of them, if they weigh the same, the coin you didn't weigh is the counterfeit.  Or which ever of the 2 coins was the lightest.
730990
You would have to take it to a coin dealer to find out. They can grade its condition and look it up. Chances are, it isn't worth more than 25 cents, but it is worth at least a penny!
309656
There has always been a market to mis-struck coins. There may be a local coin shop, that would be the best place to check.\nThose coins are also sold on www.ebay.com But you won't get the full value as you will sitting down with a real coin dealer.\nGOOD LUCK
159901
contact the company that made the test, they should have sample problems
480069
It takes only one example to prove the statement to be false, and I provided one:\n\n(Now, while you may never naturally encounter the set of numbers I used, the definitions of mean and median fit, so the statement is false.)
63814
It is not always possible to determine from a photo, especially for ancient coins.  If you are not able to inspect it in person, then buyer beware...