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
Dennis_Churaev [7]
3 years ago
13

Which critical value is appropriate for a​ 99% confidence level where nequals​17, sigma is​ unknown, and the population appears

to be normally​ distributed? A. z Subscript alpha divided by 2equals2.567 B. t Subscript alpha divided by 2equals2.921 C. z Subscript alpha divided by 2equals2.583 D. t Subscript alpha divided by 2equals2.898
Mathematics
2 answers:
My name is Ann [436]3 years ago
6 0

Answer:

t Subscript alpha divided by 2 = 2.921

Step-by-step explanation:

With sample sizes lower than 30, we use the t-test.

Otherwise, we use the z-test.

Here, n = 17

So we use the t-test.

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 = 17 - 1 = 16

Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of 0.99(t_{1 - (\frac{1-0.99}{2}}) = 0.995). So we have T = 2.921

So the correct answer is:

t Subscript alpha divided by 2 = 2.921

Dmitriy789 [7]3 years ago
4 0

Answer:

Critical value that is appropriate for a​ 99% confidence level is 2.921.

Step-by-step explanation:

We are given that n = 17, sigma is​ unknown, and the population appears to be normally​ distributed.

We have to determine that which critical value is appropriate for a​ 99% confidence level.

<em>So, firstly we will decide that which table should be used for looking for the critical value;</em>

As we know that;

  • <u><em>z-score table</em></u> is used when we have information about the population standard deviation (sigma) means we know the value of sigma.
  • <u><em>t-table</em></u> is used when we don't have information about the population standard deviation (sigma) means we don't know the value of sigma.

So, here in this question the sigma is unknown, which means we will consider t-table here.

Now, we will come to what degree of freedom to choose. The t-table has a degree of freedom of n - 1, i.e. 17 - 1 = 16.

<u>Also, in t-table there is a variable P which is  </u>\frac{\alpha}{2}<u> where </u>\alpha<u> is the significance level.</u>

In this question we have significance level of 1%, so P = \frac{1}{2} = 0.5%.

<em>Now, in table we will look for the value where P = 0.5% and degree of freedom = 16 which will give us the value of 2.921.</em>

Therefore, critical value that is appropriate for a​ 99% confidence level is 2.921.

You might be interested in
You are at the edge of a cliff
gavmur [86]

Answer:

tell the teacher u ar at home

7 0
2 years ago
The table below shows the cost for different numbers of tickets.
Black_prince [1.1K]

Answer:

D

Step-by-step explanation: It's not going up by 6 or 2, and it's not going down in numbers, so D

7 0
3 years ago
Find the surface area of the rectangular and triangular prisms
harina [27]
Is there a picture to this????

if your just asking how to find  the area of something all you need to do is multiply all the numbers together and the total is the area.
For example if its 8cm,3cm,2cm all you need to do is multiply them together
8x3x2=48  so your area is 48cm
7 0
3 years ago
A theater has 20 rows of chairs. The first row has 16 chairs, the second has 18, the third has 20, and so on. In total, the thea
Brilliant_brown [7]
<span>This is an arithmetic progression, i.e. 16,18,20,22,24,26,28.......... where 16 is the number of people seats in 1st row, 18 seats in second row, 20 seats in third row and so on. The Total number of seats in 20 rows = n/2{2a+(n-1)d}. Here, d = 2 , n =20, a = 16. Thus, Sum = 10 {32+ 19*2} = 10 {70} = 700 seats in total. </span>
5 0
2 years ago
Read 2 more answers
I need some quizzes on volume for 5th graded math
Katyanochek1 [597]
Volume is length x width x height aka (L•W•H)
6 0
3 years ago
Other questions:
  • Identify the number that does not have the same greatest common factor as the other three. Explain
    10·1 answer
  • Nina tosses 2 number cubes labeled 1 to 6. What is the probability that the sum is equal to 5?
    5·1 answer
  • Plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss6 lb 10 oz
    12·1 answer
  • X is 13 less than 17. WRITE AN EQUATION​ TO REPRESENT THE statement.
    14·1 answer
  • What is the probability of choosing two kings?
    15·1 answer
  • 1. If length of one side of cube is 20 cm, then volume of cube must be:
    14·2 answers
  • Help someone <br> Work and correct = brainlist
    5·1 answer
  • Please helllppp its in the picture and due in 5 mins​
    7·2 answers
  • Estimate 19.75+2.49 by first rounding each number to the nearest tenth.
    12·1 answer
  • Question 6 of 10
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!