The weights of rural Italian women in pounds in the late nineteenth century were
ID: 3274278 • Letter: T
Question
The weights of rural Italian women in pounds in the late nineteenth century were ~N(123,16). What was weight of a woman at the third quartile of the distribution of all rural Italian women?
To answer this question, I first need to find the a. z-score b. average c. population mean d. a value of z on the top e. area above the curve f. standard deviation for the (a. 25th b. 50th c. 75th) percentile. If I think about the plot of the normal distribution, I need to find a number that describes the (a. a value of z on the left side b. area under the curve c. sum of the areas d. z-score inside the grid) However, that exact number does not appear in the z-table (recall, if I multiple the area by 100, I get a percentage). The nearest value is (a.0.7486 b. 0.7549 c. 118 d. 123 e. 16 f.105 g.134 h.0.67 i.0.76 j.0.60) Now that I have found the appropriate (a. a value of z on the left side b. area under the curve c. sum of the areas d. z-score inside the grid) I need to find the z-score, which is the sum of (a. a value of z on the left side b. area under the curve c. sum of the areas d. z-score inside the grid) anda. z-score b. average c. population mean d. a value of z on the top e. area above the curve f. standard deviation or the "y" and "x" coordinates associated with the value (a.0.7486 b. 0.7549 c. 118 d. 123 e. 16 f.105 g.134 h.0.67 i.0.76 j.0.60) That z score is (a.0.7486 b. 0.7549 c. 118 d. 123 e. 16 f.105 g.134 h.0.67 i.0.76 j.0.60)
Then I fill in the numbers in the formula, or height at the third quartile = (a.0.7486 b. 0.7549 c. 118 d. 123 e. 16 f.105 g.134 h.0.67 i.0.76 j.0.60) + (a.0.7486 b. 0.7549 c. 118 d. 123 e. 16 f.105 g.134 h.0.67 i.0.76 j.0.60) * (a.0 b.0.67 c. 0.75 d. -0.75), or (a.0.7486 b. 0.7549 c. 118 d. 123 e. 16 f.105 g.134 h.0.67 i.0.76 j.0.60)
To answer this question, I first need to find the Choose... for the 7 percentile. If I think about the plot of the normal distribution, I need to " z(I I find a number that describes the choose. . Howeverthat exact number does not appear in the table recal, it multiple the area by 100, get a percentage, The nearestvalue is chose. Now that have found the appropriate chose. I need to find the zscore when is the sumot chose. T and noose. or they and a coordinates associated win the value chose. I madtzscore is v. I . ", v ". Choose ... " Then I fill in the numbers in the formula, or height at the third quartile = Choose ... " + Choose ... * * Choose ...", or Choose ... " Second decimal place in z 0.03 0.04 0.05 0.06 2 0.00 0.07 0.02 0.07 0.08 0.09 0.0 0.5000 05040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 05438 0.5478 0.5517 0.5557 05596 05636 0.5675 0.5714 0.5753 0.2 | 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.606406103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.633106368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.677206808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.732407357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.761 0.7642 0.7673 0.770407734 0.7764 0.779407823 0.7852 0.8 0.7881 0.791007939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389Explanation / Answer
I first need to find the a. z-score for c) 75th) percentile
P(Z < z*) = 0.75
The nearest value is a.0.7486
b) area under the curve
sum is
a. a value of z on the left side
d. a value of z on the top
z-score is h) 0.67
thrd quartile is 121 + 0.67 * 16
d)123 h)0.67 e) 16
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