1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zvonat [6]
3 years ago
13

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans

wers to four decimal places.)
(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 12 pins is at least 51?
Mathematics
1 answer:
Maurinko [17]3 years ago
3 0

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3}{\sqrt{12}} = 0.3753

P(sample mean hardness for a random sample of 12 pins is at least 51)

P( x \geq 51) = P( z \geq \displaystyle\frac{51 - 50}{0.3753}) = P(z \geq 2.6645)

= 1 - P(z < 2.6645)

Calculation the value from standard normal z table, we have,  

P(x \geq 51) = 1 - 0.9961= 0.0039

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

You might be interested in
Please help!!!!!!!! Find radius and diameter. will mark brainiest!!!!!!!!!!
mylen [45]

Answer:

The radius is given its 10 in

The diameter is 20 in

Step-by-step explanation:

Two find the diameter given the radius you just multiply by 2

10x2=20 therefore the diameter is 20

Hope this helps :)

8 0
2 years ago
Read 2 more answers
5. For what value of A would the following equations satisfy?<br>AXA = A and A+A=A​
Virty [35]

Answer:

the answer is 0, cause 0×0=0 and when adding the 0 u will get 0. Hope it helps!

3 0
3 years ago
Interest on 2000 at 10% per 4years<br>​
katovenus [111]

Answer:

2,800

A = 2000(1 + (0.1 × 4)) = 2800

A = $2,800.00

3 0
2 years ago
The ratio of adults to students on the field trip is 3 to 5. If there are 15 students on the field trip, how many adults are the
Kazeer [188]

Answer:

There are 9 adults

Step-by-step explanation:

3:5 = x:15

3/5 = x/15

3(15) = 5x

5x = 45

x = 9 adults

3:5 = 9:15

4 0
3 years ago
Function 1: Sam is 150 feet below sea level in a cave and trying to climb back out to safety at zero elevation. He climbs at a r
prisoha [69]

Answer:

Start at -150, then add 3(-5), then add 122.2. -150 + 3(-5) + 122.2 = -45.3.

7 0
3 years ago
Read 2 more answers
Other questions:
  • The area of the top of the rectangle table is 323 square feet. If the length of the table is19 feet what is the width of the tab
    8·1 answer
  • BRAINLIESTTTT!!!!!!!!
    7·1 answer
  • Every evening jenna empties her pockets and puts the change in a jar at the end of the week she had 38 coins all of them dimes a
    15·2 answers
  • 4( x - 3 ) - r + 2x = 5( 3x - 7) - 9x.........Can someone show me how to get this answer? please i'm getting really fustraded...
    11·1 answer
  • Which expressions are equivalent to -90 - 60w? Choose three. *Hint: On each answer choice below, use the distributive property t
    10·1 answer
  • LCM of 63 and 84.<br> pleasee
    8·2 answers
  • Help me plzzzzz I will give you branliest
    11·1 answer
  • What is the area of this figure? I will give brainliest! :)
    14·2 answers
  • What is x when 2(x+3)=x-4
    14·1 answer
  • Please help I was able to do the hard part but I don’t know how to crack the code
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!