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
podryga [215]
3 years ago
11

A random variable x x has a Normal distribution with an unknown mean and a standard deviation of 12. Suppose that we take a rand

om sample of size n = 36 n=36 and find a sample mean of ¯ x = 98 x¯=98 . What is a 95% confidence interval for the mean of x x ?
Mathematics
1 answer:
Paul [167]3 years ago
8 0

Answer:

95% Confidence Interval: (94.08,101.92)    

Step-by-step explanation:

We are given the following in the question:

Sample mean, \bar{x} = 98

Sample size, n = 36

Alpha, α = 0.05

Population standard deviation, σ = 12

95% Confidence Interval:

Formula:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

98 \pm 1.96(\dfrac{12}{\sqrt{36}} ) = 98 \pm 3.92 = (94.08,101.92)

You might be interested in
Convert 2 <br> 3<br> 4<br> cups to pints.<br> 2 cups = 1 pint
denis-greek [22]

Answer:

  1 3/8 pints

Step-by-step explanation:

  (2 3/4 cups) × (1 pint)/(2 cups) = 1 3/8 pints

_____

Units conversion is conveniently done using a fraction that is equal to 1: its numerator and denominator express the same quantity, but in different units. The units are chosen so that after unwanted units are cancelled, you end up with the desired units.

7 0
2 years ago
The time to assemble the first unit on a production line is 8 hours. The learning rate is 0.81. Approximately how long will it t
pochemuha

Answer:

4.428 hours

Step-by-step explanation:

If the learning rate is 0.81, the slope of the learning curve is:

b=\frac{ln(0.81)}{ln(2)} \\b=-0.304

The time it takes to produce the n-th unit is:

T_n=T_1*n^b

If T1 = 8 hours, the time required to produce the seventh unit will be:

T_n=8*7^{-0.304}\\T_n=4.428\ hours

It will take roughly 4.428 hours.

3 0
3 years ago
The scatter plot shows the relationship between the test scores of a group of students and the number of hours they exercise in
Y_Kistochka [10]

Answer: Part A: Group p is called a cluster. Group T is called an outlier.

Part B: it seems that as the hours of exercise increases, their test scores increases.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I HAVE AN EXAM PLEASE HELP ME GET THE ANSWER
sesenic [268]
Answer: The ladder is 5.3 m long
Step by step solution
1. Draw out the scenario, ie a right triangle where the hypotenuse is the ladder, the wall is 4.5m and the angle the ladder and the ground makes 58 degree.

2. Soh, Cah, Toa
The wall is opposite, the ground is adjacent, and the ladder is hypotenuse
Sine (58) = 4.5/h

3. Solve for hypotenuse
h * sine (58) = 4.5
h = 4.5/sine (58)
h = ~ 5.3 m
3 0
3 years ago
How do I do problem number one
jolli1 [7]
So you have to find something that multiples to six but also somehow either subtracts or adds to five. So I would pick 2 and 3 because two plus three is five. Then you would write out your equation
X2+2x+5x+6
This may not be the way your teacher taught however it is much easier for me to do it this way.
5 0
3 years ago
Other questions:
  • If (3, y) lies on the graph of y = -(2^x) then y=<br> 1/8<br> -6<br> -8
    12·2 answers
  • In 3 years, a gym's membership went up from 6400 to 8400. Which expression shows how to find the percent increase?
    15·1 answer
  • Evaluate 1 3 m − 1 − 1 2 n 3 1 ​ m−1− 2 1 ​ nstart fraction, 1, divided by, 3, end fraction, m, minus, 1, minus, start fraction,
    10·1 answer
  • Select the expression equal to
    9·2 answers
  • Is the LCM of a pair of numbers ever equal to one of the numbers?
    11·1 answer
  • What is the product of 14.5 and 20.2?
    9·2 answers
  • suppose a triangle had two sides of length 2 and 3 and that the angle between there two sides is 60. what is the length of the t
    7·1 answer
  • D. One holding pen uses 500 feet of fence
    12·1 answer
  • THIS NEEDS TO STOP (ITS A SCAM TO BUY STUFF) ITS MAKES ME ANNOYED
    8·1 answer
  • Clark has 20 trading cards and he buy (p) trading cards from the store . He gave his friend Jenny (k) trading cards as a gift fo
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!