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
allsm [11]
2 years ago
15

Of interest is to determine the mean age of students at the time they take the comprehensive exam for all students enrolled in g

raduate programs that require students to take comprehensive exams. A simple random sample of 31 students enrolled in graduate programs was selected, and the age of each student when they took the comprehensive exam was recorded. The mean age at the time of taking the comprehensive exam for this sample of 31 students was 27.5 years with a standard deviation of 2.9 years; there were no outliers in the sample that would lead one to suspect heavy skewness in the distribution. If appropriate, use this information to calculate and interpret a 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams. Use this information to answer questions 3-5
Mathematics
1 answer:
Gnoma [55]2 years ago
8 0

Answer:

The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 31 - 1 = 30

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.457

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.457\frac{2.9}{\sqrt{31}} = 1.3

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27.5 - 1.3 = 26.2 years

The upper end of the interval is the sample mean added to M. So it is 27.5 + 1.3 = 28.8 years

The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.

You might be interested in
What is the answer to this question?
inessss [21]

Answer:

4x^2-7x+3

Step-by-step explanation:

(4x-3)(x-1)

4x^2-4x-3x+3

4x^2-7x+3

3 0
3 years ago
I will give brainliest just please help
prisoha [69]

Answer:

you can be on a call back at your the one in your the one in your office at it and

3 0
3 years ago
Read 2 more answers
If you do decide to answer this question thank you very much if you don’t I hope you all have a wonderful day
raketka [301]

Answer:

so i dont have to answer why thank you

Step-by-step explanation:

8 0
3 years ago
Lines a and b are perpendicular. The equation of line a is y=1/3x+3. What is the equation of line b
kykrilka [37]
Perpendicular lines have slopes that are negative reciprocals to each other, that is, if one slope is a/b, the other is -b/a
in this case, the given slope is 1/3, so the other line's slope is -3/1, which is -3
from the graph we see that the y intercept of line b is -4, so the equation of line b is: y=-3x-4
6 0
3 years ago
What is3/4 - 1/2 and what is 7/8-2/3
Mariulka [41]
3/4 - 1/2 = 3/4 - 2/4 = 1/4

7/8 - 2/3 = 21/24 - 16/24 = 5/24
7 0
3 years ago
Other questions:
  • V=s^2+ 1/2sh, solve for H.
    7·1 answer
  • In circle O, what is the measure of angle MAJ
    7·2 answers
  • researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% 40 % of this population prefer
    12·1 answer
  • Find the volume of each figure. Round to the nearest tenth if needed.<br><br>​
    9·1 answer
  • Solve the inequality 7x-6&lt;14x+8 write the solution in interval form??? ....[2.4]
    13·1 answer
  • Five less than a number is at most 11. What is the number
    5·1 answer
  • Pls help will give brainlist
    12·1 answer
  • A = 1, b = 5, c = 4 <br> a = 2, b = 1, c = -21
    15·1 answer
  • Help please due today!!
    11·1 answer
  • The ratio of boys to girls in Mr. Woods class is 5:7.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!