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Gemiola [76]
3 years ago
15

Can you help me out with this question 5 pls

Mathematics
1 answer:
Maslowich3 years ago
3 0
Gives an output of 1 I think
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A cola-dispensing machine is set to dispense 8 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manufacturer
pshichka [43]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is X: ounces per cup dispensed by the cola-dispensing machine.

The population mean is known to be μ= 8 ounces and its standard deviation σ= 1.0 ounce. Assuming the variable has a normal distribution.

A sample of 34 cups was taken:

a. You need to calculate the Z-values corresponding to the top 5% of the distribution and the lower 5% of it. This means you have to look for both Z-values that separates two tails of 5% each from the body of the distribution:

The lower value will be:

Z_{o.o5}= -1.648

You reverse the standardization using the formula Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~N(0;1)

-1.648= \frac{X[bar]-8}{\frac{1}{\sqrt{34} } }

X[bar]= 7.72ounces

The lower control point will be 7.72 ounces.

The upper value will be:

Z_{0.95}= 1.648

1.648= \frac{X[bar]-8}{\frac{1}{\sqrt{34} } }

X[bar]= 8.28ounces

The upper control point will be 8.82 ounces.

b. Now μ= 7.6, considering the control limits of a.

P(7.72≤X[bar]≤8.28)= P(X[bar]≤8.28)- P(X[bar]≤7.72)

P(Z≤(8.28-7.6)/(1/√34))- P(Z≤7.72-7.6)/(1/√34))

P(Z≤7.11)- P(Z≤0.70)= 1 - 0.758= 0.242

There is a 0.242 probability of the sample means being between the control limits, this means that they will be outside the limits with a probability of 1 - 0.242= 0.758, meaning that the probability of the change of population mean being detected is 0.758.

b. For this item μ= 8.7, the control limits do not change:

P(7.72≤X[bar]≤8.28)= P(X[bar]≤8.28)- P(X[bar]≤7.72)

P(Z≤(8.28-8.7)/(1/√34))- P(Z≤7.72-8.7)/(1/√34))

P(Z≤-2.45)- P(Z≤-5.71)=0.007 - 0= 0.007

There is a 0.007 probability of not detecting the mean change, which means that you can detect it with a probability of 0.993.

I hope it helps!

5 0
3 years ago
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Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the
nadezda [96]
Y = 6 + x

We can use this equation to find the total amount of flour that Otto used in the recipe.

The constraints on 'x' and 'y' are that they must both be positive, because we cannot have a negative amount of flour.

<span>And a restraint something like 50 cups of flour total because one person making a recipe won't use that many cups of flour.</span>
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3 years ago
Write the equation of the line, in slope-intercept form, with the following information: slope: -3/8 point: (16, -1)​
irakobra [83]

Answer:

y+1=-3/8(x-16)

Step-by-step explanation:

I used the equation and plugged in the numbers

y-__y__=__m__(x-__x__)

6 0
3 years ago
Plz help me!?!?<br><br> and thank u
vesna_86 [32]
Subtract 7.8 points by 4.8 and you get 3.4 !!
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Kate earned $10 less this week than last week. This
Lisa [10]

Answer:

I ready hope you find the answer

Step-by-step explanation:

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