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
Paul [167]
2 years ago
7

2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and

the standard deviation is 0.24 mm. True or false: (a) A 95% con dence interval for the mean diameter of the 120 bearings in the sample is 1 ???? (1:96)(0:24)= p 120. (b) A 95% con dence interval for the mean diameter of the 10,000 bearings in the sample is 1 ???? (1:96)(0:24)= p 120. (c) A 95% con dence interval for the mean diameter of the 10,000 bearings in the sample is 1 ???? (1:96)(0:24)= p 10; 000.
Mathematics
1 answer:
Rashid [163]2 years ago
4 0

Answer:

B is True

A, C. D are false

Step-by-step explanation:

Given :

Sample size, n = 120

Mean diameter, m = 10

Standard deviation, s = 0.24

Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96

The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.

The population here is N = 10000

To obtain

Confidence interval (C. I) :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.96 * 0.24/sqrt(120)

Confidence interval for the 10,000 ball bearing :

10 ± 1.96 * (0.24) / sqrt(120)

Hence. The confidence interval defined as :

10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.

You might be interested in
The median of the set of data with values 10,12,15,16,18,20 is?​
Juli2301 [7.4K]

Answer:

15.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Water boils at 100 \degree \text{C}100°C100, degree, C. This is 400\%400%400, percent more than my room's temperature. What is m
Sophie [7]

Answer:

20\°C

Step-by-step explanation:

Let

x------> my room's temperature

we know that

400\%=\frac{400}{100}=4

so

The equation that represent this situation is

4x+x=100

Solve for x

5x=100

x=20\°C

5 0
3 years ago
Read 2 more answers
I love U help me plz❤️
melamori03 [73]
I agree with did on top just check your work for any mistakes
6 0
3 years ago
Which has a finite size?
Nitella [24]
I believe the answer is cube
8 0
2 years ago
Read 2 more answers
Find all solutions by transforming the system to reduced echelon form and back substituting. (If there are an infinite number of
Zolol [24]

Answer:

The system has infinite solutions described in the set \{(x_1,x_2,x_3)=(6+s1, -10-2s1,s1): s1\in\mathbb{R}\}

Step-by-step explanation:

The augmented matrix of the system is \left[\begin{array}{cccc}-1&-1&-1&4\\2&1&0&2\end{array}\right].

We apply row operations:

1. We add the first row to the second row twice and obtain the matrix \left[\begin{array}{cccc}-1&-1&-1&4\\0&-1&-2&10\end{array}\right]

2. multiply by -1 the rows of the previous matrix and obtain the matrix \left[\begin{array}{cccc}1&1&1&-4\\0&1&2&-10\end{array}\right] that is the reduced echelon form of the matrix associated to the system.

Now we aply backward substitution:

1. Observe that the reduced echelon form has a free variable, then the system has infinite solutions.

2.

x_2+2x_3=-10\\x_2=-10-2x_3

3.

x_1+x_2+x_3=-4\\x_1-10-2x_3+x_3=-4\\x_1-x_3=-4+10\\x_1=6+x_3.

Then the set of solutions is \{(x_1,x_2,x_3)=(6+s1, -10-2s1,s1): s1\in\mathbb{R}\}

3 0
3 years ago
Other questions:
  • I HAVE 4 MATH QUESTIONS AND I REALLY NEED HELP FAST. PLEASE ONLY COMMENT IF YOU ARE GOING TO HELP. I GAVE AS MANY POINTS AS POSS
    10·1 answer
  • What’s the square root of 10?
    14·2 answers
  • What is the solution to the system of equations below?
    14·1 answer
  • Rozwiąż równania:
    9·1 answer
  • What is 30 feet = yrds
    7·2 answers
  • Solve this parallelogram angle
    10·2 answers
  • The lines represented by the equations y - x = -8 and y = -x – 6 are
    15·1 answer
  • Simplify the following fraction: 6/9
    5·1 answer
  • To make graphing easier, round $1.49 in the equation for the cost of navel oranges to the nearest tenth. Write the resulting val
    6·1 answer
  • Using square ABCD, calculate the measure of ZEDC, if mZECD = 45°.<br> =
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!