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
SVEN [57.7K]
2 years ago
6

Suppose the students construct a 95% confidence interval for the true weight of their rocks. Whose interval do you expect to be

more precise (narrower)? (i) The student who weighed the rock 20 times. (ii) The student who weighed the rock 5 times. (iii) Both intervals would be equally precise.
Mathematics
1 answer:
MakcuM [25]2 years ago
7 0

Answer:

(i) The student who weighed the rock 20 times.

Step-by-step explanation:

The margin of error of a confidence interval is:

M = z*\frac{\sigma}{\sqrt{n}}

In which z is related to the confidence level, \sigma is the standard deviation of the population and n is the size of the sample.

From the equation above, the larger the size of the sample, the lower the margin is, that is, the narrower the interval is.

In this question:

A student weighed the rock 20 times and other the 5. From above, the one who weighed the rock 20 times will have the more precise interval.

So the correct answer is:

(i) The student who weighed the rock 20 times.

You might be interested in
A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is
Luba_88 [7]

Answer:

P(t) = 100e^{0.0251t}

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

P(t) = P(0)e^{kt}

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that P(0) = 100. So

P(t) = 100e^{kt}

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that P(60) = 450, and we use this to find k. So

450 = 100e^{60k}

e^{60k} = 4.5

\ln{e^{60k}} = \ln{4.5}

60k = \ln{4.5}

k = \frac{\ln{4.5}}{60}

k = 0.0251

So

P(t) = 100e^{0.0251t}

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

200 = 100e^{0.0251t}

e^{0.0251t} = 2

\ln{e^{0.0251t}} = \ln{2}

0.0251t = \ln{2}

t = \frac{\ln{2}}{0.0251}

t = 27.65

The doubling time is of 27.65 minutes.

7 0
3 years ago
Giving brainliest !! *easy*
lora16 [44]
31.4 bc 3.14 x 2 x 5
4 0
3 years ago
Read 2 more answers
Find the pattern, then write the next two letters.<br> J, F, M, A, M,_, _
RoseWind [281]

Answer:

its answer J,F,M,A,M,J,J

Step-by-step explanation:

<h3>its a name of months next 5 words is A,S,O,N,and D</h3>
5 0
3 years ago
Read 2 more answers
3
Svet_ta [14]

Answer:17,000

Step-by-step explanation:Add 532+150=680 then times it by 25 which equals 17,000

5 0
3 years ago
Read 2 more answers
Math problem need help plz
alexira [117]

Answer:

angle LXZ is 121°

Step-by-step explanation:

Since the sum of same side interior angles equals 180 you just subtract the angle you're given from 180 (180°-59°=121°)

6 0
3 years ago
Other questions:
  • What is the height of the triangle? 17 units 34 units 51 units 68 units?
    8·2 answers
  • In two or more complete sentences, give the solution and explain how you solved the system.
    12·1 answer
  • Negative positive addition
    13·2 answers
  • What is equal to 3 yards
    6·2 answers
  • An angle measures 143.4° more than the measure of a supplementary angle. What is the measure of each angle?
    9·1 answer
  • What is <br>2x^2+7x-4/x^3 -1
    15·2 answers
  • Evaluate the expression. 6x 12y + 5 + 2y +8 what is the coefficient of y? What is the constant? (Show work)
    14·1 answer
  • Solve for p.<br> Y=1/7pk<br> P=?
    11·1 answer
  • Rewrite x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values. A: a = 4 and b =
    15·2 answers
  • "lucy owns a bakery in 2006 she sold pies for $9.50 each in 2010 she sold pies for $17.50. Find the rate of change for the price
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!