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
Digiron [165]
3 years ago
13

The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is

generated in the city. The study included 129 residents whose mean number of pounds of trash generated per person per week was 34.2 pounds and the standard deviation was 8.2 pounds.
a. The sampling distribution follows a ______ distribution.
b. With 95% confidence the population mean number of pounds per person per week is between_____ and_____ pounds.
c. If many groups of 120 randomly selected people in the city are studied, then a different confidence interval would be produced from each group. About_____ percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about________ percent will not contain the true population mean number of pounds of trash generated per person per week.
Mathematics
1 answer:
saul85 [17]3 years ago
4 0

Solution :

Given :

Sample mean, $\overline X = 34.2$

Sample size, n = 129

Sample standard deviation, s = 8.2

a. Since the population standard deviation is unknown, therefore, we use the t-distribution.

b. Now for 95% confidence level,

   α = 0.05, α/2 = 0.025

  From the t tables, T.INV.2T(α, degree of freedom), we find the t value as

  t =T.INV.2T(0.05, 128) = 2.34

  Taking the positive value of t, we get  

  Confidence interval is ,

  $\overline X \pm t \times \frac{s}{\sqrt n}$

 $34.2 \pm 2.34 \times \frac{8.2}{\sqrt {129}}$

 (32.52, 35.8)

 95% confidence interval is  (32.52, 35.8)

So with $95 \%$ confidence of the population of the mean number of the pounds per person per week is between 32.52 pounds and 35.8 pounds.

c. About $95 \%$ of confidence intervals which contains the true population of mean number of the pounds of the trash that is generated per person per week and about $5 \%$ that doe not contain the true population of mean number of the pounds of trashes generated by per person per week.  

You might be interested in
Solve the inequality for x.
Taya2010 [7]

Answer:

+10 on both sides so

X+10-(10)>14-(10)

x>4

3 0
3 years ago
Read 2 more answers
5
Dimas [21]

Answer:

0.150 < (Proportion of Sandy's pie) < 0.167

15% < (Percentage of Sandy's pie) < 16.7%

Step-by-step explanation:

Total percentage of pie = 100% or 1

George, Sandy, Carlos, and Michelle all ate a piece of the pie.

George ate a fraction of 0.150

Michelle ate a fraction of (1/6) = 0.167

Carlos ate a fraction of (1/7) = 0.143

The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405

And Sandy is known to eat more than two of her friends, but less than one of them.

Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.

Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).

So, mathematically, the possible proportion of cake that Sandy ate is

0.150 < (Proportion of Sandy's pie) < 0.167

Hope this Helps!!!

7 0
3 years ago
This figure is 14 of a circle. What is the best approximation for the perimeter of the figure? use 3.14 to aproximate pi.
Lana71 [14]
I'm pretty sure its 3.1 inches
4 0
3 years ago
Simplify<br><br> -8 - 1 + 4 x 2
asambeis [7]
So you would use GEMDAS or PEMDAS 
-8-1+4x2
-8-1+8
-9+8
  -1
6 0
3 years ago
It’s possible to build a triangle with side lengths 5 5 and 10 true or false
igomit [66]

Answer: No, the side lengths of 5, 5 and 10 would not be able to.

So the answer is FALSE.

This is because all the lengths must be enough so that when you add the side lengths they are greater then the other, all would work accept 5+5 is not greater than 10.

6 0
3 years ago
Other questions:
  • Expand than simplify: -2(8p+9q)
    13·1 answer
  • Simplify all the equations.
    7·1 answer
  • What is the length and width of a rectangle if Area is 20 and perimeter is 20
    8·1 answer
  • PLEASE HURRY
    6·1 answer
  • Number 25 by today..
    15·1 answer
  • Your soccor team wants to buy T-shirts.You call two different companies about prices.Each company charges a price per T-shirt an
    8·1 answer
  • Solve 1/x-1/x-5=1/3x​
    12·1 answer
  • Solve the equation for y -8x+4y=20
    6·1 answer
  • An ellipse has a center at the origin, a vertex along the major axis at (10, 0), and a focus at (8, 0).
    9·1 answer
  • Jason left a bin outside in his garden to collect rainwater. he notices that 1 over 5 gallon of water fills 2 over 3 of the bin.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!