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
Crazy boy [7]
3 years ago
9

Do one of the​ following, as appropriate.​ (a) Find the critical value z Subscript alpha divided by 2​, ​(b) find the critical v

alue t Subscript alpha divided by 2​, ​(c) state that neither the normal nor the t distribution applies. Confidence level 99​%; nequals16​; sigma is unknown​; population appears to be normally distributed.
Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

t=\pm 2.95

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The t distribution or Student’s t-distribution is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

Data given

Confidence =0.99 or 99%

\alpha=1-0.99=0.01 represent the significance level

n =16 represent the sample size

We don't know the population deviation \sigma

Solution for the problem

For this case since we don't know the population deviation and our sample size is <30 we can't use the normal distribution. We neeed to use on this case the t distribution, first we need to calculate the degrees of freedom given by:

df=n-1=16-1=15

We know that \alpha=0.01 so then \alpha/2=0.005 and we can find on the t distribution with 15 degrees of freedom a value that accumulates 0.005 of the area on the left tail. We can use the following excel code to find it:

"=T.INV(0.005;15)" and we got t_{\alpha/2}=-2.95 on this case since the distribution is symmetric we know that the other critical value is t_{\alpha/2}=2.95

You might be interested in
I need 5 6 and 8 thank you
Jet001 [13]
Yooooooooooowwwwwwwwwwssawwww
4 0
3 years ago
Look at pic 10 pts will mark brainilest sh
yaroslaw [1]

Answer:

65in????

Step-by-step explanation:

8 0
2 years ago
Solve this quadratic equation using factorisation. I will give brainliest, 5 stars and thanks! :) Kind of urgent, I don't have l
laiz [17]

Answer:

x2 + 5x-6

Step-by-step explanation

Consider the form

x

2

+

b

x

+

c

. Find a pair of integers whose product is

c

and whose sum is

b

. In this case, whose product is

−

6

and whose sum is

5

.

−

1

,

6

Write the factored form using these integers.

4 0
3 years ago
when 1770 is divided into 14 equal parts, the remainder is 6. what is the correct way to write th quotient
Anuta_ua [19.1K]
__6__
14 /1770. that's it if that's what ya needed.
4 0
3 years ago
How do u divide fractions
8090 [49]
For example 5/10\1/2 you would keep the 5/10 and flip the 1/2 to 2/1 and then multiply 5\10x2/1 to get 10/10 so 1
8 0
3 years ago
Other questions:
  • Select the number like that matches the expression |-6-(-3)|
    10·1 answer
  • 25x⁴+4x⁴y²+4y⁴ answer this​
    9·1 answer
  • Every Saturday morning,Shaun mows 3 lawns 6 hours at this rate how many hours will it take him to mow 78 lawns (please solve thi
    15·1 answer
  • - Use your ruler and protractor to draw an isosceles obtuse triangle ZAP with and vertex angle B. base angles A and Z.​
    8·1 answer
  • Rena needs to make a total of 60 deliveries this week so far she has completed 39 of them what percentage of her total deliverie
    7·1 answer
  • Multiply: (3x - 4)(2x - 3)
    9·2 answers
  • 73+p=151 help addition and subtraction equations
    13·1 answer
  • Please help 25 points ASAP
    7·1 answer
  • In a recent survey, people were asked if they had a digital camera at
    11·2 answers
  • Which inequality is true? <br>3&lt;2<br>-5&lt;6<br>-6&lt;5<br>-6&gt;-5<br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!