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Anna007 [38]
3 years ago
9

g A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Q

uality Assurance, directs his crew measure the lengths of 100 randomly selected rods. If the population of rods has a mean length of 120 inches and a standard deviation of 0.05 inch, the probability that Claude's sample has a mean greater than 120.0125 inches is _____________.
Mathematics
1 answer:
Margarita [4]3 years ago
5 0

Answer:

0.0062

Step-by-step explanation:

Given that a carload of steel roads has arrived at Cybermatic Construction Company. The car contains 50,000 rods

Sample size =100

\bar x=120"

s =0.05"

Sample mean follows a N(120,0.05/sqrtn)

sample std error=\frac{0.05}{\sqrt{100} } \\=0.005

P(\bar X>120.0125)=\\P(Z>\frac{120.0125-120}{0.005} \\=P(Z>2.5)\\=0.5-0.4938\\=0.0062

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Read 2 more answers
Which are true or false
Savatey [412]

we are given

y=19.75x

Here,

y is the number of gallons of water in the pool

x is the number of minutes the truck has been filing the pool

now, we will verify each options

option-A:

When x=1

then y=19.75

so, for 1 minute , number gallons =19.75

so, this is FALSE

option-B:

Since, we have

y=19.75x

It is similar to equation of line

y=mx+b

But b=0

It means that it passes through origin

so, this is TRUE

option-C:

y=19.75x

we can compare it with

y=mx

where m is the rate

so, we get

m=19.75

while we are given

the water in swimming pool increase about 100 gallons by every 5 minutes

so, we get rate as

m=\frac{100}{5} =20 gallons per minute

this is close to 19.75

so, they are approximately equal

so, this is TRUE

option-d:

x-value and y-value will show relationship

and ratio will always be constant or equivalent

because it has linear relationship

so, this is TRUE

option-e:

We need to check

(8,150) ..so, x=8 and y=150

we can plug this in our equation

and we get

150=19.75\times 8

150=158

Since, left side is not equal to right side

so, this can not be point

so, this is FALSE


5 0
3 years ago
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