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
Andrei [34K]
2 years ago
11

The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm

and a standard deviation of 0.005 mm. A sample of 25 bushings is taken once an hour.
a. Within what range should 95 percent of the bushing diameters fall?
b. Within what range should 95 percent of the sample means fall?
c. What conclusion would you reach if you saw a sample mean of 4.020?
Mathematics
1 answer:
balu736 [363]2 years ago
5 0

Answer:

A) (4.0252, 4.0448).

B) (4.0331, 4.0369).

C) If i saw a sample mean of 4.020, i would conclude that the sample came from a population that did not have a population mean equal to 4.035

Step-by-step explanation:

A) We know that an approximate 95% confidence interval for the item in question is given by the equation; ± 1.96σ

Now, since we have a mean of 4.035 mm and a standard deviation of 0.005 mm, we can solve;

± 1.96 = 4.035 ± (1.96 × 0.005) =4.035 ± (0.0098)

= 4.0252 or 4.0448 and it can be written as;(4.0252, 4.0448).

B) . We also know that In the large-sample case, a 95% confidence interval estimate for the population mean is given by the formula;

± ((1.96)/ √ )

Thus, if we solve, we get;

= 4.035 ± (1.96 × 0.005 )/√25

= 4.035 ± 0.0019

or (4.0331, 4.0369).

c. If i saw a sample mean of 4.020, i would conclude that the sample came from a population that did not have a population mean equal to 4.035 because it doesn't fall into the range of confidence intervals we got earlier.

You might be interested in
.<br> Solve for x:<br><br> 2% of x = 17<br><br> a 34<br><br> b 8.5<br><br> c 85<br><br> d 850
blsea [12.9K]

Answer:850

Step-by-step explanation:

To find this 2% of x= 17

2/100×x=17

2x/100=17

2x=1700

x=850

4 0
3 years ago
What Force would be needed to extend a spring with a spring constant k=7 N/m that extends<br>0.3m?​
vladimir2022 [97]

Answer:

Force  =  - 2.1 Newton

Step-by-step explanation:

According to question ,

The value of Spring constant , K = 7  N/m   Newton per meter

And the spring is extended up to 0.3 meter

The Force experience on the spring is calculated from the Hook's Law

<u>The principal state that , the force applied on spring to extend or compress the spring to some distance is proportion to that distance. </u>

Let the force be F

So, F =  - K X

where K is spring constant and X is its displacement

Negative sign shows displacement of spring once it is stretched

And K is spring constant

So ,Force = ( - ) 7 × 0.3

I.e Force  =  - 2.1 Newton       Answer

4 0
3 years ago
Which is larger 4 yards or 13 feet?
Dmitrij [34]
13feet is larger as 4 yard is equivalent to 12 feet
8 0
2 years ago
Read 2 more answers
Omar has 3 1/14 cups of dough to make dumplings.If he uses 3/16 cup of dough for each dumpling,how many whole dumplings can Omar
Bumek [7]

Answer:

Omar can make 16 dumplings with some dough to spare

Step-by-step explanation:

you should convert each value to have the same denominator to make the equation easier

3 and 1/14 cups is the same as 43/14 cups of dough

so the total 43/14 needs to be divided by 3/16

43/14 divided by 3/16 = 43/14 * 16/3

=688/42 = 16.3809...

so Omar can make 16 dumplings with some dough to spare

6 0
3 years ago
Find the value of x 5x-2(x+5)
vesna_86 [32]

Answer:

x=9

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Does the point (3,1/5) lie on the line defined by 2x + 5y = 5
    11·1 answer
  • at one scholl at prep level there were 5 set of twins,two sets of triplets and one set of quadruplets starting school this year.
    13·1 answer
  • (07.06 MC) The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.
    12·2 answers
  • Write the equation of a line that is parallel to y = -0.75x and that passes through the point (8,0).
    13·1 answer
  • (04.07) The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash
    15·2 answers
  • Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams.
    8·2 answers
  • What is the equation of the line that passes through the point (-7, 2) and has a slope of -1?​
    9·1 answer
  • 8
    8·1 answer
  • How do you calculate the are of a circle with a radius of 12 ft<br> PLEASE HELP !
    15·2 answers
  • Help asapppp I’ll give brainliest
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!