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Bicentennial yIKES - Gold plated is Gold Enough
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<p>[QUOTE="Strike Vader, post: 7375831, member: 109342"]I went coin hunting at the bank just now. They said they had no halves but had 4 gold plated Eisenhower's and ensured me that they are legal currency. How much? $1 each. 4 of them? Sold. Good enough for me! No-risk coin collecting fun time.</p><p><br /></p><p>So I weighed them. I see they are clad, yes, but each one is heavier... from the gold plating. The coins were weighed with a properly calibrated scale. {23.53g, 23.33g, 22.85g, 22.94g} A clad IKE is normally 22.68g.</p><p><br /></p><p>We could talk statistics and compare the mean weight of my population sample (4) to a known mean using a one sample t Test...which I did. Ready?</p><p><br /></p><p>t=(xbar - u0)/sx</p><p>sx=s/sqrt(n)</p><p><br /></p><p>if t>t-table with degrees of freedom n-1 @ .95 confidence level we can reject the null hypothesis.</p><p><br /></p><p>n=4, xbar=23.16g, u0 = 22.68g, s=standard deviation of my sample</p><p>Results:</p><p>Sx =.3216 and t = 3.000</p><p><br /></p><p>One tailed t-table @ .95 conf and 3 d.o.f. reads 2.353.</p><p>My t value is 3, which is greater than the t-table's 2.353</p><p>SO...</p><p>My coins are statistically heavier than usual. From gold. [ATTACH=full]1284701[/ATTACH][/QUOTE]</p><p><br /></p>
[QUOTE="Strike Vader, post: 7375831, member: 109342"]I went coin hunting at the bank just now. They said they had no halves but had 4 gold plated Eisenhower's and ensured me that they are legal currency. How much? $1 each. 4 of them? Sold. Good enough for me! No-risk coin collecting fun time. So I weighed them. I see they are clad, yes, but each one is heavier... from the gold plating. The coins were weighed with a properly calibrated scale. {23.53g, 23.33g, 22.85g, 22.94g} A clad IKE is normally 22.68g. We could talk statistics and compare the mean weight of my population sample (4) to a known mean using a one sample t Test...which I did. Ready? t=(xbar - u0)/sx sx=s/sqrt(n) if t>t-table with degrees of freedom n-1 @ .95 confidence level we can reject the null hypothesis. n=4, xbar=23.16g, u0 = 22.68g, s=standard deviation of my sample Results: Sx =.3216 and t = 3.000 One tailed t-table @ .95 conf and 3 d.o.f. reads 2.353. My t value is 3, which is greater than the t-table's 2.353 SO... My coins are statistically heavier than usual. From gold. [ATTACH=full]1284701[/ATTACH][/QUOTE]
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