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
You receive 9 text messages in 12 minutes. What is the rate of text messages per hour?
joja [24]
If you get 9 text messages in 12 min, you can get the answer by multiplying the amount of message with 60 minutes (as the time unit is in minute) so and then divide it by 12 as shown below. 
9×60÷12 = 45 text messages 
7 0
3 years ago
How to solve <br><br> log 5 + 2log 2
Hoochie [10]
Log20
log5  + 2 log2
6 0
3 years ago
Identify the new perimeter of the square using a scale factor of 1/3
Verizon [17]

Answer:

5

Step-by-step explanation:

15 × \frac{1}{3} = 5

5 0
3 years ago
One day in the playground,the ratio of the number of boy to the number of girl is 3:5 later 6girls come, 9boy leave, the ratio o
choli [55]

Answer:

The number of boys are 18 and the number of girls are 30.

Step-by-step explanation:

The ratio of number of girls to the boys = 3 : 5

Let the number of girls is g and boys is b initially.

b : g = 3 : 5

5 b = 3 g ..... (1)

Now, girls are 6 + g and boys are b - 9

So, the ratio is

(b - 9) : (6 + g) = 1 : 4

4 b - 36 = 6 + g

4 b - g = 42 .... (2)

From ( 1 ) and ( 2 )

4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18

And , g = 5 x 18/3 = 30

So, the number of boys are 18 and the number of girls are 30.  

7 0
3 years ago
If h(x) is the inverse of f(x). what is the value of h(f(x))?
attashe74 [19]

Option C is correct

The value of h(f(x)) is, x

Inverse function:

An inverse function that undergoes the other function.

For example: if f(x) is the inverse of g(x) then;

for every x.

As per the statement:

If h(x) is the inverse of f(x).

by definition of inverse:

Therefore,  the value of h(f(x)) is, x

6 0
3 years ago
Read 2 more answers
Other questions:
  • From a deck of cards (52 cards, no jokers) Henry pulled a card from the deck and got an 8. What was the probability of that even
    15·2 answers
  • How many kilograms are in 76.2 grams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit dec
    15·2 answers
  • If aₙ = 3(3)ⁿ⁻¹ , what is S₃?<br><br> 12<br><br> 27<br><br> 9<br><br> 39
    8·2 answers
  • How many solutions does 4(x-1)-x = 3(x+5)-11 have
    7·1 answer
  • Find the intersection of the following sets: Set A : {1, 5, 10, 14, 22} Set B : {5, 14, 20, 22, 27}
    14·2 answers
  • 3. The variance of a set of positive numbers p.(p-5).(p-2), (p-3) (2p-5)is 5.84.
    11·1 answer
  • Help please I don’t understand how to do these types of problems
    9·1 answer
  • Please help with this math problem! Will give brainliest! :)
    12·1 answer
  • The Teddy Bear Parade makes teddy bears. Their monthly fixed costs are $550. It costs $25 to make each bear and they sell for $5
    13·1 answer
  • PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!