Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between a Lower and U

Question

2 years ago

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Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between a Lower and U

pper value (in inches) centered around the process mean. The process that produces the piece yields a mean of 25 and a standard deviation of 0.6 inches. The distribution of output is normal. Within what values will 94.87 percent of sample means fall, if samples of n

Mathematics

1 answer:

wolverine [178] · Answer 1 · 2022-09-25T23:54:47+03:00

Answer:

Hello a value is missing in your question below is the value

samples of n = 10

answer : 24.63 < μ < 25.370

Step-by-step explanation:

Given :

Sample size = n = 10

Z∝/2 = Z0.0256 = 1.95

next calculate for margin of error

E = Z∝/2 * ( 0.6 / / $\sqrt{10}$ )

= 0.370

therefore at 94.87% confidence interval the estimated population mean is

x - 0.370 < μ < x + 0.370

25 - 0.370 < μ < 25 + 0.370

24.63 < μ < 25.370