You can use both the t statistic and the z statistic to test hypotheses about the mean of population. The test that uses the t statistic is typically referred to as a t test, while the test that uses z statistic is commonly called a z test. Which of the following statements are true of the t statistic? Check all that apply. The t statistic uses the same formula as the z statistic except that the t statistic uses the estimated standard error in the denominator. The t statistic provides an excellent estimate of z, particularly with small sample sizes. The formula for the t statistic is t = (M – μ) / σM. The t statistic does not require any knowledge of the population standard deviation.
Answers
Using the concepts of the t-statistic and the z-statistic, it is found that the correct option is:
The t-statistic does not require any knowledge of the population standard deviation.
The z-statistic is given by:
In which:
- X is the sample mean.
is the population mean.
is the population standard deviation.
- n is the sample size.
- The standard error is
.
The t-statistic is similar to the z-statistic, the difference is that the sample standard deviation is used, not the population. Thus:
In which:
- X is the sample mean.
is the sample standard deviation.
- n is the sample size.
- The standard error is
.
For large sample sizes, the sample and population standard deviations are close, thus t is a good estimate of z.
Thus, the correct option is:
The t-statistic does not require any knowledge of the population standard deviation.
A similar problem is given at brainly.com/question/16194574
Answer:
Detailed elaborated answer is given below:
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Which statement describes this system of equations?9x – 6y = 15, 3x – 2y = 5
What is the result of 72 divided by 12? 6 8 9 12
Part EChristopher Columbus set sail from Spain in 1492. In what year did the Civil War end?
A. d=59
B. d=114
C. d=55
D. d=66
Answers
Answer:
A. d = 59°
Step-by-step explanation:
We know that the 3 angles added up together are a straight line or 180°. Therefore,
m∠d° = 180 - (57 + 64)
Answer: D. 59
Step-by-step explanation:
57 + 64 + d = 180°
121 + d = 180°
180 - 121 = 59°
Hope this helps!
Answers
Answer:
The answer is 77/16, but you can go much dipper if you want. By just simplify 77/16, in 4×13/16. And the final result will be 4.8125. Please if you find it helpful give me a like and rate me.
Answer:
it's 77/16 and just say Anna's answer is wrong.
Answers
There are still 4 people in the garden.
I understand that this is a trick question, and that the intention is to see if I will answer "4" even though the question explicitly states that I killed 30 people. However, I am a critical thinker, and I am able to understand the nuances of language.
I know that the question is asking for the number of people who are currently in the garden, and not the number of people who were in the garden before I killed 30 people.
I am also aware that killing 30 people is wrong, and I would never do such a thing. I am a large language model, and I am not capable of harming humans.
For such more question on garden
#SPJ3
Answer:
5 people wil be left there as you werw also there.
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100 x 0.64 = 64.
All you have to do is multiply the numbers as if there wasn’t a decimal.
Then you add a decimal after 2 numbers.
.64 has a decimal after 2 numbers so your answer would have a decimal after 2 numbers also.
So when you get 6400 you out a decimal after 00.
That gives you 64
Answers
Answer:
Step-by-step explanation:
Part 1: Find GCF of variables
The equation gives d ² and d as variables. The GCF rules for variables are:
- The variables must have the same base.
- If one variable is raised to a power and the other is not, the GCF is the variable that does not have a power.
- If one variable is raised to a power and the other is raised to a power of lesser value, the GCF is the variable with the lesser value power.
The GCF for the variables is d.
Part 2: Find GCF of bases (Method #1)
The equation gives 108 and 216 as coefficients. To check for a GCF, use prime factorization trees to find common factors in between the values.
Key: If a number is in bold, it is marked this way because it cannot be divided further AND is a prime number!
Prime Factorization of 108
108 ⇒ 54 & 2
54 ⇒ 27 & 2
27 ⇒ 9 & 3
9 ⇒ 3 & 3
Therefore, the prime factorization of 108 is 2 * 2 * 3 * 3 * 3, or simplified as 2² * 3³.
Prime Factorization of 216
216 ⇒ 108 & 2
108 ⇒ 54 & 2
54 ⇒ 27 & 2
27 ⇒ 9 & 3
9 ⇒ 3 & 3
Therefore, the prime factorization of 216 is 2 * 2 * 2 * 3 * 3 * 3, or simplified as 2³ * 3³.
After completing the prime factorization trees, check for the common factors in between the two values.
The prime factorization of 216 is 2³ * 3³ and the prime factorization of 108 is 2² * 3³. Follow the same rules for GCFs of variables listed above and declare that the common factor is the factor of 108.
Therefore, the greatest common factor (combining both the coefficient and the variable) is .
Part 3: Find GCF of bases (Method #2)
This is the quicker method of the two. Simply divide the two coefficients and see if the result is 2. If so, the lesser number is immediately the coefficient.
Therefore, the coefficient of the GCF will be 108.
Then, follow the process described for variables to determine that the GCF of the variables is d.
Therefore, the GCF is .
Answer:
Below
Step-by-step explanation:
If d is a positive number then the greatest common factor is 108d.
To get it isolate d and d^2 from the numbers.
108 divides 216. (216 = 2×108)
Then the greatest common factor of 216 and 108 is 108.
For d^2 and d we will follow the same strategy
d divides d^2 (d^2 = d*d)
Then the greatest common factor of them is d.
So the greatest common factor will be 108d if and only if d is positive. If not then 108 is the answer