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rosijanka [135]
3 years ago
14

The machine described has standard deviation σ that can be fixed at certain levels by carefully adjusting the machine. What is t

he largest value of σ that will allow the actual amount dispensed to fall within 1 ounce of the mean with probability at least .95?
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

σ = 0.5102

Step-by-step explanation:

If

Y = volume filled,  

µ = mean

It is a normal distribution

It follows that

0.95 = P (|Y − µ| < 1) = P (|Z| <  1 / σ)

so that

1 / σ = 1.96 ⇒  σ = (1 / 1.96)

⇒  σ = 0.5102.

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1 year ago
A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone
monitta

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%

Step-by-step explanation:

We have to find

a) P(X>40)= 1- P(x=40)

Using the z statistic

Here

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Now

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Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

     = P(2 < z < 3.67)

     = P(z<3.67) - P(z<2)

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or 2.28%

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2 years ago
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barxatty [35]

Answer:

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3 years ago
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Step-by-step explanation:

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3 years ago
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