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2 (Type Vuu integers Vu 2 1V KHHJH 8 6890 1 enciosed by (Edsenciosed Di brai TAE JiUE each = Men naie Dij "Approximaiely Do not round) W pam 0f the men have br...

Question

2 (Type Vuu integers Vu 2 1V KHHJH 8 6890 1 enciosed by (Edsenciosed Di brai TAE JiUE each = Men naie Dij "Approximaiely Do not round) W pam 0f the men have brain weighis beiween saniea 9590 weights 8 1 Otine ofihe 1 In pans 8 5 between 8 cn of the men have brain Weights 3 kg and kg and have brain molmain 1 0 weights distributed 2 Uclneci between 1 3 1 and 15 0f 29 128 kg and standard deviation 0.16 (7 complete)

2 (Type Vuu integers Vu 2 1V KHHJH 8 6890 1 enciosed by (Edsenciosed Di brai TAE JiUE each = Men naie Dij "Approximaiely Do not round) W pam 0f the men have brain weighis beiween saniea 9590 weights 8 1 Otine ofihe 1 In pans 8 5 between 8 cn of the men have brain Weights 3 kg and kg and have brain molmain 1 0 weights distributed 2 Uclneci between 1 3 1 and 15 0f 29 128 kg and standard deviation 0.16 (7 complete)



Answers

Brain Weights. In $1905,$ R. Pearl published the article "Biometrical Studies on Man. I. Variation and Correlation in Brain Weight" (Biometrika, Vol. 4. pp. $13-104$ ). According to the study, brain weights of Swedish men are normally distributed with mean $1.40 \mathrm{kg}$ and standard deviation $0.11 \mathrm{kg}$. Apply the $68.26-95.44-99.74$ rule to fill in the blanks. a. $68.26 \%$ of Swedish men have brain weights between _______ and ________ b. $95.44 \%$ of Swedish men have brain weights between _______ and _______ c. $99.74 \%$ of Swedish men have brain weights between ________ and ______ d. Draw graphs similar to those in Fig. 6.21 on page 272 to portray your results.

Mhm. Okay. And this problem we have the varroa access normal distribution. This is very important. So when we estimating the sample me we don't need to care about the synthesize. Okay. For problem A. We have so first week we Recorded the Meal is 1.4 and the Sigma is .11. So when it emphasizes Three we have the assemble mean it goes to the population main which is 1.4. And the standard deviation example means is sigma over square event which is 0.11 over square root of three. And there's always 30.6 The problem be this emphasizes 12. So we have the same um the assemble men is the same as the population mean Which is 1.4. And the standard of creation is mhm Over square of 12 which is 0.3 Mhm. So if we didn't join the figure. Yeah. Yeah. So first we have the original one. This is the distribution of 1.4 zero 06 square. Okay. And the second one. Okay, it's gonna be sharper. This is 1.4 and this is time 06 square. I'm sorry. This one is poem 11 And actually the last one it was set just 1.4 .03 sq. So actually it's becoming sharper and sharper. Yeah. Every drawer there. Yeah. Yeah, figures like that issue. Something looks like this is going to sharper and sharper. So when we look at the problem, the Yeah, So first we calculate .1 over .06 is 1.67 and the other is .91.7 if records a alpha. So this is our the probable is 9525 at this point 0475. So we make the subtraction, we get .905. So the probability is 90.5%. This is poem one over .06, which is 3.33, and it's a negative 3.33. The result is .9996 And .0004. So maybe this obstruction would be .9992 And promote is 99.92. This added to results.

Here we have a population of 500 males and their brain waits were determined to follow a normal distribution with mean 1400 grams and standard deviation 100 grams. And so one thing we're asked is, What's the probability that given person's brain weighs between 13 25 grams and 14 50 grams? And so if you use a computer or a table toe, look up the normal distribution value. Between these two end points, we should get roughly 0.465 It's about 46%. We're also asked how many males out of this population or this sample of 500 can we expect we'll have a brain weight of greater than 14 80 grams. So first we want to know the probability that the brain weight is greater than 14 80 and we can find that that's gonna be about 0.212 And so about 21% of this 500 gives you about 106 males. You expect their brain weight is greater than 14 80

Okay, So where you been? With the standard to be shipped equal to trainee 0.414 kg. Ever asked for the various the weeks. Okay, so the variance iss actually equal to the square off the stand education. Okay, so we just have to get the square off 20.414 kilograms that it's square, then really ill 10 answers equal to 401 0.65 77 kilogram squared. So the unit will also be squared. So the variance is this value.

First of all, the some off X I will be 676 on the mean off X in Michel will be 67.6. No excite sub struck did by the mean will be this It'll Andi excite substructure it by means. Where will be this one? No, the summer this will be 20 to 4.4 Now The some off waves, as I have discussed earlier, is 676 which, when divided by 10 since the numbers are then so 10 students in number, so use a mean off 67.6 k Jeez, Now the values will be do z don't do food 0.4 divided by night, which will be equal to 20 to 224.9 on the standard deviation 50 50.


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