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
just olya [345]
3 years ago
15

Suppose the speeds of vehicles traveling on a highway are normally distributed and have a known population standard deviation of

7 miles per hour and an unknown population mean. A random sample of 32 vehicles is taken and gives a sample mean of 64 miles per hour. Find the margin of error for the confidence interval for the population mean with a 98% confidence level.
Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

2.88

Step-by-step explanation:

Data provided in the question

\sigma = Population standard deviation = 7 miles per hour

Random sample = n = 32 vehicles

Sample mean = \bar X = 64 miles per hour

98% confidence level

Now based on the above information, the alpha is

= 1 - confidence level

= 1 - 0.98

= 0.02

For \alpha_1_2 = 0.01

Z \alpha_1_2 = 2.326

Now the margin of error is

= Z \alpha_1_2 \times \frac{\sigma}{\sqrt{n}}

= 2.326 \times \frac{7}{\sqrt{32}}

= 2.88

hence, the margin of error is 2.88

You might be interested in
If a production line produces 50 mouse traps every 30 minutes over the course of a 10 hour work day with a half-hour break for l
kaheart [24]
The factory made 950 mousetraps
7 0
3 years ago
If there are 1,760 yards in 1 mile, how many yards are in 2.5 miles?
Karolina [17]

Answer:

4400 Yards

Step-by-step explanation:

Divide 1760 to get how many yards are in half of a mile

Take the number of yards in one mile and double that and then add the number in half of a mile

8 0
2 years ago
Read 2 more answers
Check all solutions to the equation. x² =-4
vovangra [49]

Answer:

x=2i, -2i

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve for X!! Will mark brainliest
bekas [8.4K]

Answer:

x=43   (being vertically opposite angles

Step-by-step explanation:

4 0
3 years ago
Consider the piecewise-defined function given by the graph. What are these values?
maksim [4K]

Answers:

f(-3) = -1

f(-1) = 2

f(3) = 5

======================================

Explanations:

Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.

Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1

Through similar steps, you should find that f(-1) = 2 and f(3) = 5

Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the correlation coefficient between the variables? Round to three decimal places. Enter your answer in the box. r≈ Age/Q
    8·1 answer
  • A vendor is using an 8ft by 8ft tent for a craft fair. The legs of the tent are 9ft y’all and the top forms a square pyramid wit
    15·1 answer
  • John traveled 80% of the way from yellow-town to green-fields by train at an average speed of 80 miles per hour. the rest of the
    7·1 answer
  • Please help i'm stuck :,)
    12·2 answers
  • Suppose it costs ​$49 to roll a pair of dice. you get paid 7 dollars times the sum of the numbers that appear on the dice. what
    11·1 answer
  • Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the
    13·1 answer
  • PLEASEE HELPPP
    6·2 answers
  • What is the value of y?
    5·1 answer
  • PLEASE PLEASE I SUCK AT MATH AND ITS ALL DUE FRIDAY PLEASE 10 piont !!! Select all the correct systems of equations.
    7·1 answer
  • Urgent please help..
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!