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Anton [14]
3 years ago
8

A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate

. Use z-table.
What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
Mathematics
1 answer:
MariettaO [177]3 years ago
3 0

Step-by-step explanation:

Sol

Given that ,

mean =300

standard deviation =a =70

n=100

ux=128

a ) within 6 =300 +/-6 : 294, 306

P(294' ' 306)

: P(-0.86 : Z ' 0.86)

: P(Z ' 0.86) - P(Z ' -0.86)

Using z table,

: 0.8051-0.1949

: 0.6102

Probability : 0.6102

a ) within 18 =300 18 : 294, 318

P(294' ' 306)

: P(Z ' 2.57) - P(Z ' -2.57)

Using z table,

:0.9949-0.0051

:0.9898

Probability =0.9898

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Answer:

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Step-by-step explanation:

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3 years ago
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valina [46]

Answer:

Step-by-step explanation:

You have 3 unknowns: a, b, and c.  It's our job to find them algebraically.  I'm going to start with the point where x = 0 and y = 7.  You'll see why in a minute.  Filling in the standard form of a quadratic

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7=a(0)^2+b(0)+c  gives you that c = 7.  We will use that value now when we write the next 2 equations.  Now the point (-2, 19):

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Now for the next point (-1, 12):

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spin [16.1K]

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