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
Tems11 [23]
1 year ago
5

the operation manager at a tire manufacturing company believes that the mean mileage of a tire is 20,138 miles, with a variance

of 10,304,100. what is the probability that the sample mean would be less than 19,448 miles in a sample of 171 tires if the manager is correct? round your answer to four decimal places.
Mathematics
1 answer:
Aleks [24]1 year ago
5 0

The probability that the sample mean would be less than 19,448 miles is 0.9972

Given,

The mean mileage of a tire, μ = 20,138

The standard deviation, σ = \sqrt{10,304,100} = 3210

Sample size, n = 171

We have to find the probability that the sample mean would be less than 19,448 miles.

That is,

P(X < 19448)

Since the sample size in this instance is greater than 30, we can utilise the central limit theorem and the z score formula provided by:

z = (X - μ) / (σ/√n)

The following would be the sample mean's distribution:

X ≈ N (μ, σ/√n)

In this situation, the z score was found to be:

z = (19448 - 20138) / (3210/√171)

z = -690 / 245.48

z = 2.81

Using the conventional table, we get the following:

P(z < 2.81) = 0.9972

That is,

The probability that the sample mean would be less than 19,448 miles is 0.9972

Learn more about probability here;

brainly.com/question/17011174

#SPJ4

You might be interested in
. Samantha is three times as old as Jason. The sum<br> of their ages is 56 years. How old is each?
8_murik_8 [283]

Step-by-step explanation:

let age of samantha be 3x and age of jason be x.(since samantha is three times as old as jason)

Now,

3x+x=56 (sum of their ages is 56)

or 4x=56

or x=56/4

or x=14

therefore age of samantha=3x=3×14=42

age of jason = x = 14

4 0
2 years ago
Nancy wants to make a graph to show the relationship between the temperature of water, in degrees Celsius, and the time, in minu
LenaWriter [7]
Not entirely sure, but it seem the answer could be B.) It will not be spread out vertically across the entire coordinate plane because in step 5, Nancy selected an incorrect scale on the y-axis. 
3 0
3 years ago
Read 2 more answers
Let a and b be real numbers where a 4640. Which of the following functions could represent the graph below?
Ann [662]
I also need this too pleaseee huryy
5 0
2 years ago
How can I show money as a fraction?
abruzzese [7]
You can show money as a fraction by taking the amount of cents, and putting it over 100.

Ex. $1.47 = 147 cents
147 cents = 147/100 in fraction form.
4 0
3 years ago
A 2 quart container of window cleaner cost $6.96. What is the price per cup?
marissa [1.9K]

Answer:

$0.87

Step-by-step explanation:

2 quarts = 8 cups

$6.96 ÷ 8 = $0.87

4 0
3 years ago
Read 2 more answers
Other questions:
  • The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6.
    9·1 answer
  • What is the binomial expansion of (m + 2)4?
    6·1 answer
  • Lines m and n are perpendicular. If the slope of m is zero, then the slope of n is
    13·2 answers
  • 1. WHAT IS THE FOLLOWING TIME IN SPANISH?<br> 8:35
    13·2 answers
  • The volume of the oblique cylinder is 24 ft^3. Which statements are true? Check all that apply.
    11·2 answers
  • PLEASE HELP WILL GIVE BRAINLIEST!
    8·2 answers
  • PLEASE ANSWER THIS QUESTION CORRECTLY AND ILL MARK BRAINLY
    6·1 answer
  • Can someone please help me please
    13·1 answer
  • The perimeter of a certain pentagon is 12.5 inches. Four sides of this pentagon have the same length, in inches, m, and the othe
    10·1 answer
  • Amber boss tells her that she can choose whether she want to be paid 12% commission flat fee one time payment of $500. Her total
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!