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
Papessa [141]
2 years ago
12

A random sample of n D 225 and xN D 21 was drawn from a normal population with a known

Mathematics
1 answer:
Rainbow [258]2 years ago
6 0

Using the z-distribution, the 95% confidence interval of the population mean is: (17.5, 24.5).

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

For this problem, the other parameters are:

\overline{x} = 21, \sigma = 26.8, n = 225

Hence the bounds of the interval are:

\overline{x} - z\frac{\sigma}{\sqrt{n}} = 21 - 1.96\frac{26.8}{\sqrt{225}} = 17.5

\overline{x} + z\frac{\sigma}{\sqrt{n}} = 21 + 1.96\frac{26.8}{\sqrt{225}} = 24.5

The interval is: (17.5, 24.5).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

You might be interested in
Simplify the expression. Write your answer as a power.<br><br> 8^10⋅8^4
topjm [15]

8^14 is the answer.

This is because since they both have the same base, the exponents could be added together if the numbers are multiplied together

3 0
3 years ago
Read 2 more answers
15 pts plz help
RoseWind [281]

Answer:

two the right then below

Step-by-step explanation:


6 0
3 years ago
A class consists of 23 women and 83 mean. If a student is random selected, what is the probability that the student is a woman?
slavikrds [6]

Answer:

P(Woman) = \frac{23}{106}

Step-by-step explanation:

Given

Women = 23

Men = 83

Required

P(Woman)

This is calculated as the number of women divided by the population of the class

i.e.

P(Woman) = \frac{Women}{Women + Men}

So, we have:

P(Woman) = \frac{23}{23+83}

P(Woman) = \frac{23}{106}

7 0
3 years ago
4+8= 2 x (6-3)<br> Can somebody help me ASAP
kupik [55]

Answer: 12≠6

False

Step-by-step explanation:

8 0
3 years ago
A quiz consists of 20 multiple-choice questions, each with 5 possible answers. for someone who makes random guesses for all of t
blondinia [14]
N = 20, the number of questions
p = 1/5 = 0.2, the probability of making a correct guess
q = 1 - p = 0.8, the probability of making an incorrect guess.
Expected success  = 60% or 6 of 10.

From the binomial distribution,
P(6 of 10) = ₁₀C₆ p⁶q⁴
                 = 210*0.2⁶*0.8⁴ = 0.0055

Answer: 0.0055

7 0
3 years ago
Other questions:
  • Can someone tell me what the answer is to this and why it isn’t 3?
    12·1 answer
  • An official authorization or approval from a professional organization of society that indicates that a person has met certain p
    7·1 answer
  • What is a ray that cuts the vertex of an angle into two congruent angles?
    15·2 answers
  • There are 27 campers. This is nine times
    11·2 answers
  • Evaluate the expression using substitution ( m=3, y =-5)<br><br> 5m + 3y/5 + 4( m-y)
    6·1 answer
  • Note: Figure not drawn to scale.
    12·1 answer
  • Find dy/dx given that y = sin(cos(x))​
    5·1 answer
  • Whats The Answer Marking Brainliest, Please explain your answer:D.......
    5·1 answer
  • 10m^5n^4/15m^2? Can someone help me
    9·1 answer
  • Please help!!! it would be much appreciated
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!