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Viktor [21]
3 years ago
9

Need help with number 30 please. Percents.

Mathematics
2 answers:
Gre4nikov [31]3 years ago
5 0
The exact answer is 911.55
VikaD [51]3 years ago
3 0

Answer:

45

Step-by-step explanation:

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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
2 years ago
Read 2 more answers
Jessica is deciding on her schedule for next semester. She must take each of the following classes: English 101, Spanish 102, Bi
user100 [1]
Just a random guess 22,275 tell me if it right
8 0
2 years ago
Ms. Wang is shopping for a new refrigerator. Brand A costs $569 and uses 635 kilowatt-hours per year. Brand B costs $647 and use
katen-ka-za [31]

Answer:

Savings on electricity per year by brand B = 114.3 - 104.76 = $9.54

Step-by-step explanation:

Ms. Wang is shopping for a new refrigerator. Brand A costs $569 and uses 635 kilowatt-hours per year. Brand B costs $647 and uses 582 kilowatt-hours per year.

Let's assume he buys brand B, so he already has a loss over the price of the commodity that is , loss = 647 - 569 =$78

Cost of electricity = $0.18

Now in the case of electricity,

spending on Brand A = 635\times 0.18 = $114.3

spending on Brand B = 582\times 0.18 = $104.76

Savings on electricity per year by brand B = 114.3 - 104.76 = $9.54

5 0
3 years ago
Use the diagram of rhombus LMNO to find the missing measures.
Elena L [17]
What are the missing measures bro?
3 0
2 years ago
A jar contains 2 orange balls, 5 black balls, and 3 pink balls.
Levart [38]
The probability of Event A is 5/10 which simplifies to 1/2.

The probability of Event B is 3/9 which simplifies to 1/3.

Because it says "and" we need to multiply them which gives us 1/2*1/3=1/6
7 0
3 years ago
Read 2 more answers
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