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
lawyer [7]
3 years ago
14

Suppose we take two different random samples from the same population of test scores. The population mean and standard deviation

are unknown. The first sample has 25 data values. The second sample has 64 data values. Then we construct a 95% confidence interval for each sample to estimate the population mean. Which confidence interval will have greater precision (smaller width) for estimating the population mean?
Mathematics
1 answer:
Leto [7]3 years ago
3 0

Answer:

The 95% confidence interval obtained with a sample size of 64 will give greater precision.            

Step-by-step explanation:

We are given the following in the question:

A 95% confidence interval is calculated with the following sample sizes

n_1 = 25\\n_2 = 64

The population mean and standard deviation are unknown.

Effect of sample size on confidence interval:

  • As the sample size increases the margin of error decreases.
  • As the margin of error decreases the width of the confidence level decreases.
  • Thus, with increased sample size the width of confidence level decreases.

If we want a confidence interval with greater precision that is smaller width, we have to choose the higher sample size.

Thus, the 95% confidence interval obtained with a sample size of 64 will give greater precision.

You might be interested in
9. An online store charges $5 to ship one box and $10 to ship two boxes. Write an explicit formula for an arithmetic sequence to
lozanna [386]

Answer:

29

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the decimal equivalent of 714.45\9<br><br>​
AysviL [449]

Answer:

79.3833333333333333333333333333333333333333333333333333333333333333333333333333333333

Step-by-step explanation:

3 0
3 years ago
The entire question is un the picture
n200080 [17]
A) 6x -5y = 5
B) 3x + 5y = 4
Adding the equations:
9x = 9
x = 1

A) 6*1 -5y = 5
A) 6 - 5 = 5y
A) 5y = 1
y = 1/5 = .2


7 0
3 years ago
At a high school, students can choose between three art electives, four history electives, and five computer electives. Each stu
V125BC [204]

Answer:

\frac{^3C_1\times ^4C_1}{^{12}C_2}

Step-by-step explanation:

Given,

Art electives = 3,

History electives = 4,

Computer electives = 5,

Total number of electives = 3 + 4 + 5 = 12,

Since, if a student chooses an art elective and a history elective,

So, the total combination of choosing an art elective and a history elective = ^3C_1\times ^4C_1

Also, the total combination of choosing any 2 subjects out of 12 subjects = ^{12}C_2

Hence, the probability that a student chooses an art elective and a history elective = \frac{\text{Total combination of choosing an art elective and a history}}{\text{ Total combination of choosing any 2 subjects}}

=\frac{^3C_1\times ^4C_1}{^{12}C_2}

Which is the required expression.

3 0
3 years ago
Read 2 more answers
Asanji left the science museum and drove toward the lake at an average speed of 45 km/h. Sometime later Huong left driving in th
Cloud [144]

Answer:

Asanji drove for 5 hours before Huong caught up

Step-by-step explanation:

Let the time for which Asanji drove alone is "X" hours

Asanji and Huong met after three hours of driving of Huong.

Total time for which Asanji drove = X+3 hours

Thus, distance travelled by Asanji in X+3 hours is equal to distance travelled by Huong in 3 hours

45 ( X+3) = 75 (3)\\

On solving the above equation, we get -

45 X + (45 *3) = 75 *3\\45 X = (75-45)*3\\45 X = 30 *3 \\X = \frac{30 *3}{45} \\X = 2

Asanji drove for 3 + 2 = 5 hours before Huong caught up

8 0
3 years ago
Other questions:
  • {(1,2), (-2,3), (1,3), (-2,2)} is what type of relation?
    5·1 answer
  • A,B and c lie on a straight line segment A , E and d lie on a straight line segment AB = 5cm AC= 30cm and EB = 4cm work out the
    10·1 answer
  • I've done the sketch but am unsure as what my next steps should be?
    12·1 answer
  • Mark earned $240 in the first week and earns $680 in the fifth week. How much will he earn in the 20th week (suppose his earning
    11·2 answers
  • A carpenter has a wooden that measures 1/4 meter long. He must cut the board into 6 pieces of equal length. How long in meters s
    9·1 answer
  • The following integral requires a preliminary step such as long division or a change of variables before using the method of par
    6·1 answer
  • 1 the probability of rolling a number greater than 5 on a standard number cube.
    14·1 answer
  • 2)
    10·1 answer
  • 8.36 Polly the Penguin invested $250 in the Antarctic stock market. During the first year her investment suffered a 15% loss, bu
    5·1 answer
  • Please help!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!