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RoseWind [281]
3 years ago
10

Tuesday, January 5th

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0
50 cm

If it grows 5 cm per year it would grow 50 cm in 10 years
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Your lumber company has bought a machine that automatically cuts lumber. The seller of the machine claims that the machine cuts
maksim [4K]

Answer:

a) 0.0202

b)The seller's claim is not correct.

c) If the seller's claim is true we cannot have individual length of 72.15 inch.

Step-by-step explanation:

In the question it is given that

population mean, μ = 72 inch

Population standard deviation, σ = 0.5 inch

Sample size, n = 47

Sample mean, x =72.15 inch

a) z score = \frac{x-\mu}{\sigma/\sqrtr{n}} = \frac{72.15-72}{0.5/\sqrt{47}} = 2.0567

P(x ≥ 72.15) = P(z ≥ 2.0567) = 0.5 - 0.4798 = 0.0202

We calculated the probability with the help of standard normal table.

b) The sellers claim that the machine cuts the lumber with a mean length of 72 inch is not correct as we obtained a very low probability.

c)If we assume that the seller's claim is true that is the machine cuts the lumber into mean length of 72 inch then we cannot have an individual length 72.15.

Standard error = \frac{\sigma}{\sqrt{n} } = 0.0729

Because it does not lie within the range of two standard errors that is (μ±2 standard error) = (71.8541,72.1458)

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