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
malfutka [58]
3 years ago
7

We measure the diameters for a random sample of 25 oak trees in a neighbourhood. Diameters of oak trees in the neighbourhood fol

low a normal distribution with standard deviation 8.25 cm. A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969). What is the confidence level of this interval
Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

The required confidence inteval = 94.9%.

Step-by-step explanation:

Confidence interval: Mean ± Margin of error

Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).

i.e.  Mean + Margin of error = 42.969               (i)

Mean - Margin of error = 36.191                    (ii)

Adding (i) and (ii), we get

2Mean =79.16\\\\\Rightarrow\ Mean= 39.58

Margin of error = 42.969-39.58             [from (i)]

= 3.389

Margin of error = t^* \dfrac{\sigma}{\sqrt{n}}

here n= 25 , \ \sigma=8.25

i.e.

3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \

Using  excel function 1-TDIST.2T(2.054,24)

The required confidence inteval = 94.9%.

You might be interested in
How many cubic meters in 179.66 cubic centimeters​
tamaranim1 [39]

Answer:

0.00018

Step-by-step explanation:

formula:Divide the volume by 1e+6

8 0
1 year ago
Rashawn read 25 pages of his book each day until he finished the book. His book was 400 pages long.
Anna71 [15]
I think it's the second one.
7 0
3 years ago
Read 2 more answers
Please tell me how o do this
larisa86 [58]

Answer:

you might have to use an app that scans that specific problem :)

Step-by-step explanation:

5 0
3 years ago
Reduce <br>0.1 x squared - 8.1 x + 8 = 0 to<br>2x squared - x + 80 = 0<br><br>​
Yuliya22 [10]

Answer:

x = 8

x = -10

Step-by-step explanation:

7 0
2 years ago
The measure of arc LK is?
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.

Arc LK = 80

5 0
2 years ago
Other questions:
  • The temperature at noon is 18 degrees with the wind chill, it feels like -4 degrees. how much colder is the wind chill temperatu
    7·1 answer
  • Ivan is an artist. He creates 1 sculpture for every 7 paintings. If he has created 63 paintings, how many sculptures has he crea
    13·1 answer
  • To find out approximately how many hours its residents are spending playing cards at a senior retirement home, the recreation di
    5·1 answer
  • Evaluate the following: 62 ÷ (5 + 1).<br> A.4 B.5 C.6 D.7
    15·1 answer
  • PLEASE HELP I WILL LOVE YOU FOREVER
    6·2 answers
  • 4.
    9·1 answer
  • (2y+9)+(3d+5)=? *simplify your answer*
    11·2 answers
  • Stuck on this problem!!!
    9·1 answer
  • Janelle has 342 pennies, 62 nickels, and 12 dimes. If Janelle exchanges her coims for dollars, how many dollars will she have? H
    8·2 answers
  • Rosa is a secretary. She works Monday to Friday every week. If she worked a total of 44.5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!