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Normal distribution (6.2) A milk company unconditionally guarantcrs that an unopened, properly refrigerated container of its milk will be fresh for days after the d...

Question

Normal distribution (6.2) A milk company unconditionally guarantcrs that an unopened, properly refrigerated container of its milk will be fresh for days after the date stampod on thc carton: Thc company data shocg that unopened containers remain fresh on average for daye with standard deviation of 0.44 daye- Assume that the lengeh of time milk stays fresh follows normal distribution. What percentage of thie milk containers will spoil in fewer than days after the datc stamped?

Normal distribution (6.2) A milk company unconditionally guarantcrs that an unopened, properly refrigerated container of its milk will be fresh for days after the date stampod on thc carton: Thc company data shocg that unopened containers remain fresh on average for daye with standard deviation of 0.44 daye- Assume that the lengeh of time milk stays fresh follows normal distribution. What percentage of thie milk containers will spoil in fewer than days after the datc stamped?



Answers

Milk Consumption You are performing a study about weekly per capital milk consumption. A previous study found weekly per capital milk consumption to be normally distributed, with a mean of 48.7 fluid ounces and a standard deviation of 8.6 fluid ounces. You randomly sample 30 people and record the weekly milk consumption shown below.
$$\begin{array}{ccccccccccccccc}40 & 45 & 54 & 41 & 43 & 31 & 47 & 30 & 33 & 37 & 48 & 57 & 52 & 45 & 38 \\65 & 25 & 39 & 53 & 51 & 58 & 52 & 40 & 46 & 44 & 48 & 61 & 47 & 49 & 57\end{array}$$ (a) Draw a frequency histogram to display these data. Use seven classes. Do the consumptions appear to be normally distributed? Explain. (b) Find the mean and standard deviation of your sample. (c) Compare the mean and standard deviation of your sample with those of the previous study. Discuss the differences.

And question number 36. But something is not. My distributed was mean on Central Division is in. The score is a very decreased by the mean divided by the standard education. So we have that that is equal to X minus mu over signal over a squared due to Ben. So it's very equal to 64.45 over minus 64 over 4.11 over square root of 40 which is equal to 2.87. So to determine the correspondent probability using table four, we have that probability off X greater than 64.45 She is equal to priority upset. Great through them. Two point 87 which is equal to one minus property off that this than 2.87 which is equal to one minus four points. 99 79 equal toe point or 21 which is equal toe 210.21 person. But we have not here that the probability is extremely small, and it's unlikely this value appears by chance. If the machine works correctly, does the machine needs to be received and that the ends for this question Thank you

And question number 36. But something is not. My distributed was mean on Central Division is in. The score is a very decreased by the mean divided by the standard education. So we have that that is equal to X minus mu over signal over a squared due to Ben. So it's very equal to 64.45 over minus 64 over 4.11 over square root of 40 which is equal to 2.87. So to determine the correspondent probability using table four, we have that probability off X greater than 64.45 She is equal to priority upset. Great through them. Two point 87 which is equal to one minus property off that this than 2.87 which is equal to one minus four points. 99 79 equal toe point or 21 which is equal toe 210.21 person. But we have not here that the probability is extremely small, and it's unlikely this value appears by chance. If the machine works correctly, does the machine needs to be received and that the ends for this question Thank you

The question asks for the probability that a milk carton is filled with less than 32 answers off work. We know that the way a carton of milk is filled acts is modeled by a normal distribution end with average mule on and standard deviation Sigma. The average mule is 32.2 answers and the standard deviation is 1.2 ounces on this information is all given by the question The probability off X being smaller than 32 is simply the integral from 0 to 32 off the probability distribution function f of X by the X. Now we integrate from 0 to 32 instead off negative infinity to 32 because zero is the physically lowest possible amount that Accardo milk can have. Now, if a box is the following function Yeah, Now, this is a rather difficult function to integrate analytically. So we are just gonna use a numerical model, uh, to find the solution on waken. Just simply use the calculator. Now we are in the graphing calculator and we simply can't go to distributions and click on normal CDF, which finds the probability in a given interval off a normal distributed variable. We can just input the lower upon zero the upper bound That's 32 the average 32.2 under standard deviation. As 1.2, we can just click. Enter on here we have the answer. Eso the probability that a milk carton has less than 32 answers is 0.43.

The question asks for the probability that a milk carton is filled with less than 32 answers off work. We know that the way a carton of milk is filled acts is modeled by a normal distribution end with average mule on and standard deviation Sigma. The average mule is 32.2 answers and the standard deviation is 1.2 ounces on this information is all given by the question The probability off X being smaller than 32 is simply the integral from 0 to 32 off the probability distribution function f of X by the X. Now we integrate from 0 to 32 instead off negative infinity to 32 because zero is the physically lowest possible amount that Accardo milk can have. Now, if a box is the following function Yeah, Now, this is a rather difficult function to integrate analytically. So we are just gonna use a numerical model, uh, to find the solution on waken. Just simply use the calculator. Now we are in the graphing calculator and we simply can't go to distributions and click on normal CDF, which finds the probability in a given interval off a normal distributed variable. We can just input the lower upon zero the upper bound That's 32 the average 32.2 under standard deviation. As 1.2, we can just click. Enter on here we have the answer. Eso the probability that a milk carton has less than 32 answers is 0.43.


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