Answer:
-185.75297
Step-by-step explanation:
Solution:-
- We are testing whether the population mean u is equal to 100 as per claim.
Null hypothesis: u = 100
- Where a alternate hypothesis suggest that the population mean ( u ) may be lower:
Alternate hypothesis: u < 100
- We are given sample data parameters which are assumed to be normally distributed:
sample mean, x_bar = 9
sample standard deviation, s = 2.4
- A sample of n = 24 observation was taken from a population of ( N ) with unknown population standard deviation ( σ ).
- The conditions of standard normal distribution are no longer applicable i.e:
n = 24 < 30
unknown population standard deviation ( σ )
- We will model the sample using t-distribution with ( n - 1 ) = 23 degrees of freedom.
- The t-statistics of the sample mean x_bar can be determined from standard t-distribution:
- The t-test value for mean ( u ) is -185.75297
To find the next term in an arithmetic sequence, your best bet would be to use the formula N(x)= N(1) + (x-1)*d, where x stands for the term you want to find, N(1) stands for the first number in the sequence, and d stands for the common difference between the numbers.
First, lets see what we can plug in. We know the first term in the sequence (N(1)) is 11, we know that we want to find the 23rd number in the sequence (x), and by subtracting the 2nd term by the 1st term (14-11), the common difference (d) is 3. When we plug that all into our equation, it should end up looking something like this: N(23)= 11 + (23-1)*3.
Next, we can break down the equation to solve it step by step using PEMDAS. Parenthesis go first, so N(23)= 11 + (23-1)*3 becomes N(23)= 11 + (22)*3. We don't have any exponents, so we can skip the E. Next, we do multiplication and division from left to right, so N(23)= 11 + (22)*3 becomes N(23)= 11 + 66. Finally, we do addition and subtraction from left to right, getting us from N(23)= 11 + 66 to N(23)= 77, which means that the 23rd number in the sequence is 77!
Answer:
15
Step-by-step explanation:
I'm assuming that you want me to express x as -2.
3(-2)^2+4(2)-5
3*4+8-5
12+8-5
15