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3 years ago

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A manufacturer is concerned over the diameter of rubber balls being produced. Too large and they don’t work for certain applicat

ions. Too small and they are subject to little children accidentally choking on them. If the balls are normally distributed with a mean diameter of 1.45 and a standard deviation of .08, what is the value of c , such that 98% of the balls fall between the limits of 1.45 +/- c?

1 answer:

UkoKoshka [18]3 years ago

3 0

Answer:

c = 0.1864

Step-by-step explanation:

To find c, we need to find the z-score where:

P(-z<Z<z) = 98%

Based on the properties of the normal distribution we can said that

P(-z<Z<z) = 98% is equal to:

2*P(Z>z) = 2% or P(Z>z)= 1%

So, using the standard normal table, the z score is 2.33

Then, we can calculated the value of c as:

$c=z*s$

Where s is the standard deviation and z is the z-score. Replacing the values, we get:

c = 2.33*0.08

c = 0.1864

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Answer:

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Step-by-step explanation:

STEP 1

First we need to calculate Rick's Basal Metabolic Rate( BMR)

Weight in pounds = 205 pounds

Age = 19 years

Height in inches = 70 inches

The formula for calculating Basal Metabolic Rate for men =

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Answer:

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d) 0% probability that a randomly-chosen snail will take more than 76 hours to finish

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f) The most typical 80% of snails take between 42.32 and 57.68 hours to finish.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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This is the pvalue of Z when X = 60.

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3 years ago

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Answer:

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3 years ago

Read 2 more answers