Answer:
<em>H₀</em>: <em>μ</em>₁ - <em>μ</em>₂ = 0 vs. <em>Hₐ</em>: <em>μ</em>₁ - <em>μ</em>₂ > 0.
Step-by-step explanation:
A test is to be performed to determine whether the average sales are higher in stores where customers are approached by salespeople than in stores where they aren't.
A two-sample test can be used to determine whether there is a significant difference between the sales of the stores where the customers are approached by salespeople and the stores where the customers are not approached by salespeople.
We can either use the <em>z</em>-test or <em>t</em>-test. If the population standard deviation for the sales of the two stores are given then we will use the <em>z</em>-test. And if not then the <em>t</em>-test will be used.
1 : group of stores where customers are approached by salespeople
2 : group of stores where customers are not approached by salespeople
The hypothesis can be defined as follows:
<em>H₀</em>: There is no difference between the average sales of the two stores, i.e. <em>μ</em>₁ - <em>μ</em>₂ = 0.
<em>Hₐ</em>: The sales for the store 1 is higher than that for store 2, i.e. <em>μ</em>₁ - <em>μ</em>₂ > 0.
<span>Ans : Note that:
sin(x) = sum(n=0 to infinity) [(-1)^n * x^(2n + 1)]/(2n + 1)!.
Then, since the series is alternating, the error in the approximation found by taking the first n terms of the series is no bigger than the n+1'th term. In other words:
E ≤ a_n+1 = x^(2n + 3)/(2n + 3)!.
(Note that a_n does not include (-1)^n, the alternating part)
We need that 1/6 ≤ x^(2n + 3)/(2n + 3)!. Given |x| < 1, n = 2 will be the least integer solution. Thus, we need 2 + 1 = 3 terms.</span>
Answer:
192
Step-by-step explanation:
3 * 4^3
Using PEMDAS
Exponents first
4^3 = 4*4*4 = 64
Replace into the expression
3 *64
3*64 =192
Answer:
The three integers are 81,82 and 83
Step-by-step explanation:
Let
x,x+1 and x+2 ----> the three consecutive integers
we know that

Solve for x




therefore



Answer:
-8
2
12
52
Step-by-step explanation:
y = 10x + 2
x = -1, y = 10(-1) + 2 = -8
x - 0, y = 0 + 2 = 2
x = 1, y = 10 + 2 = 12
x = 5, y = 10*5 + 2 = 52