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
Darina [25.2K]
3 years ago
13

The length of needles produced by a machine has standard deviation of 0.01 inches. assuming that the distribution is normal, how

large a sample is needed to determine with a precision of ±0.005 inches the mean length of the produced needles to 95% confidence?

Mathematics
1 answer:
Pepsi [2]3 years ago
8 0

Let X be the length of needle produced by machine. X follows Normal distribution with standard deviation σ=0.01

The margin of error ME = 0.005 and confidence interval is 95%

We have to find here sample size n from given information

The formula to find sample size when population standard deviation is known is

n =[\frac{z_{\alpha/2} standard deviation}{ME}] ^{2}

where z_{\alpha/2} is critical z value for 95% confidence interval

We have confidence level, c=0.95

α = 1- c = 1-0.95 = 0.05

α/2 = 0.05 /2 = 0.025

z (0.025) is z score value for which probability below -z is 0.025 and above z is 0.025

Using z score table to get z critical value

z = -1.96

For confidence interval calculation we use positive z score value 1.96

The sample size will be then

n = [\frac{1.96 * 0.01}{0.005}]^{2}

n = 15.3664

Rounding sample size to nearest integer n=15

a sample is needed to determine with a precision of ±0.005 inches the mean length of the produced needles to 95% confidence is 15

You might be interested in
A sidewalk is built 12 bricks wide by laying each brick side by side.how many inches wide is this sidewalk is each brick measure
yaroslaw [1]

To solve for the width simply multiply the two numbers:

width of sidewalk = 12 * (3 7/8)

 

Where 3 7/8 = 31/8

 

so calculating,

width of sidewalk = 12 * (31 / 8)

<span>width of sidewalk = 46.5 inches</span>

5 0
3 years ago
Read 2 more answers
Okay so What is 4/10 x 1/6?
Stella [2.4K]
4/10 × 1/6 = 2/30
You can cross cancel 4 and six...then multiply 2/10 × 1/3 which equals 2/30
If you want you can simplify 2/30 to 1/15
6 0
3 years ago
Read 2 more answers
What is the fraction of 3\4 of 28
pentagon [3]
If you are trying to find 3/4 of 28, multiply 3/4 (or 0.75( by 28), which equals 21.

3/4 • 28 = 21
3 0
3 years ago
what is the equation in poiny slope form of the line that is perpendicular to the given line and passes through the point (-4, -
MaRussiya [10]

Answer:

Step-by-step explanation:

Well, there is no given equation, but I can tell you that perpendicular lines have OPPOSITE <em>MULTIPLICATIVE INVERSE </em><em>[</em><em>RECIPROCAL</em><em>]</em><em> </em><em>rate of changes</em> [<em>slopes</em>].

Ex: 2 --> -½; -2 --> ½

3 0
3 years ago
Read 2 more answers
Which of the following is true about a function that is constant? (4 points)
Lemur [1.5K]
It moves in a horizontal line.  Its 'y value' does not change.
4 0
3 years ago
Read 2 more answers
Other questions:
  • PIZZA estimate the area of the top of a round pizza that has a diameter of 16inches.round to the nearest tenth.
    10·2 answers
  • Population parameters are difficult to calculate due to
    13·1 answer
  • ........................
    6·1 answer
  • If the height and base of the parallelogram shown are each increased by 1 cm, what is the area of the new parallelogram? A paral
    9·2 answers
  •  Find 5 consecutive whole numbers if it is known that the sum of the squares of the first 3 numbers is equal to the sum of the
    8·1 answer
  • A homeowner is building a circular fire pit in his backyard. He plans to outline the pit with bricks and cover the space inside
    15·1 answer
  • At a coffee shop, the first 100 customers' orders were as follows. What is the probability that a customer ordered a hot drink g
    6·2 answers
  • On a package of rice the directions say that the ratio of cups of water to cups of uncooked rice should be 5:3 Susan is confused
    8·1 answer
  • Solve 2x^2 - 3x = 12 using the quadratic formula.
    7·1 answer
  • Cynthia wants to buy a round magnetic photo frame for her locker. The radius of the frame is 9cm. What is the circumference of t
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!