The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate of the population mean. He selects and weighs a random sample of 49 trucks and finds the mean weight is 15.8 tons. The population standard deviation is 3.8 tons. What is the 95% confidence interval for the population mean?

Answers

Answer 1
Answer:

Answer:

(14.7 , 16.9)

Step-by-step explanation:

it is given that \bar{x}=15.8 tons

σ=3.8 tons

n=49

at 95% confidence level α=1-.95=0.05

z_(\alpha )/(2)=z_(0.05)/(2)=z_(0.025)\n

=1.96 ( from the standard table)

at 95% confidence level the coefficient interval for μ is

\bar{x}\pm z_(\alpha )/(2)* (\sigma )/(√(n))

15.8\pm 1.96* (3.8)/( √(49))

15.8\pm 1.1

(14.7, 16.9)


Related Questions

Latisha earns $5 an hour painting her neighbor's fence. Write an equation to represent the relationship between the two variables.
What is the value of the expression 2z + 2w when z=7 and w=5
Convert to exponential equation log9 1/81= 2
What is 20% off of £1.85? ^_^
Please help need answer asp

The cost of a hall rental for a wedding is $500. Each meal at the wedding will cost an additional $45.50 a) Write an algebraic expression equation for the total cost of the wedding.
b) Calculate how many people attended the wedding if the wedding cost totalled $3912.50.

Answers

Answer:

a) 45.50p + 500

b) 45.50p + 500 = 3912.50

p = 70

Step-by-step explanation:

p = number of people

$45.50 for a meal for each person, so:

45.50p

The constant is $500, so let's add that to the expression:

45.50p + 500

Solve 5x + 14 = k for x.

Answers

Answer:

x = (k-14)/5

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x + 14-14 = k-14

5x = k-14

Divide by 5

5x/5 = (k-14)/5

x = (k-14)/5

Answer:

k - 14/5

Step-by-step explanation:

5x + 14 = k

On subtracting 14 on both sides,

5x = k - 14

On dividing by 5 on both sides,

x = k - 14/5

Therefore, the value of x = k-14/5

Hope this helps You

Please mark as the Brainliest

Thank You

8=8p+13-3p
How do you solve this equation?

Answers

p = -1
8=8p+13-3p
Subtract 8p and 3p
Thats 5p
Now
8=5p + 13
Subtract 13 from 8
-5 = 5p
Divide -5 by 5
-1 = p
remember you can do anything to an equaiton as long as you do it to both sides

8=8p+13-3p
group like terms
8=8p-3p+13
add like terms
8=5p+13
minus 13 from both sides
8-13=5p+13-13
-5=5p+0
-5=5p
divide both sides by 5
-5/5=5p/5
-1=1p
-1=p
p=-1

Plz factor
2x^2+17x-21

Answers

2x^2 + 17x -21 cannot be factored nicely, if it was +21 you could, but the zeros for this have to gotten using the quadratic equation

-b +/- (b^2-4ac)^1/2
     2a
so

-17 +/- (17^2-4(2)(-21))^1/2
       2(2)
-17 +/- (457)^1/2
       4

so the zeros are roughly 1.094 and -9.594

An electric technician is paid $9.60 per hour. Based on 40 hours per week, what is this technicians annual salary?

Answers

Answer:  $19968

Step-by-step explanation: Assuming the electric technician works 52 weeks a year with an average of of $40 of paid work, the electrician would make about $19,968 or close to $20,000 a year.

Final answer:

To calculate the technician's annual salary, multiply their hourly rate by the number of hours worked in a week and then multiply that by the number of weeks in a year. In this case, the technician is paid $9.60 per hour and works 40 hours per week.

Explanation:

To calculate the technician's annual salary, we need to multiply their hourly rate by the number of hours they work in a week and then multiply that by the number of weeks in a year.

In this case, the technician is paid $9.60 per hour and works 40 hours per week. So their weekly salary is $9.60 x 40 = $384. To find their annualsalary, we multiply the weekly salary by the number of weeks in a year, which is 52.

Therefore, the technician's annual salary is $384 x 52 = $19,968.

Learn more about Calculating Annual Salary here:

brainly.com/question/37587106

#SPJ12

What is the volume of a square pyramid with a base length of 6 cm and a height of 9 cm?

Answers

Answer:

the answer to this is 108 cm³

Step-by-step explanation:

the volume is base area x height, so us 6 x 6 x 9, the answer is 324cm3