- the number 0 — additive identity
- a(b+c) = ab+ac — the distributive property
- an equation containing more than one variable — literal equation
- the number 1 — multiplicative identity
- the reciprocal of a number — multiplicative inverse
If x ≠ 0, then 1/x is its multiplicative inverse — true.
The product of a number and its multiplicative inverse is 1 — true.
Answer:
The statement, (1- <em>α</em>)% confidence interval for (μ₁ - μ₂) does not contain zero is TRUE.
Step-by-step explanation:
The hypothesis for a test is defined as follows:
<em>H</em>₀: μ₁ = μ₂ vs. <em>H</em>ₐ: μ₁ ≠ μ₂
It is provided that the test was rejected st the significance level <em>α</em>%.
If a decision is to made using the confidence interval the conditions are:
If the null hypothesis value is not included in the (1 - <em>α</em>)% confidence interval then the null hypothesis will be rejected and vice versa.
In this case the null hypothesis value is:
<em>H</em>₀: μ₁ - μ₂ = 0.
If the value 0 is not included in the (1 - <em>α</em>)% confidence interval for the difference between two means, then the null hypothesis will be rejected.
Thus the statement, (1- <em>α</em>)% confidence interval for (μ1- μ2) does not contain zero is TRUE.
Answer:
-36
Step-by-step explanation:
-(36/-6) to the power of 2 is -36.
