2. Eric had $197 in his savings account before he was paid his weekly salary. His current
1 answer:
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Answer:
Z=±1.65
Step-by-step explanation:
Some previous concepts
The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".
The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"
The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"
System of hypothesis
Null hypothesis:
Alternative hypothesis:
If the random variable is distributed like this:
The significance level provided is and the value of
.
Since we are conducting a bilateral test, then we have two critical values. We need to find two quantiles that accumulates 0.05 of the area on the tails of the normal standard distribution. And in order to find it we can use the following excel codes:
"=NORM.INV(0.05,0,1)" , "=NORM.INV(1-0.05,0,1)"
And we got this:
and
So the correct answer for this case is:
Z=±1.65
To find the factor a a polynomial from its roots, we are going to seat each one of the roots equal to
, and then we are going to factor backwards.
We know for our problem that one of the roots of our polynomial is -3, so lets set -3 equal to and factor backwards:
is a factor of our polynomial.
We also know that another root of our polynomial is
, so lets set equal to and factor backwards:
(
is a factor of our polynomial.
We can conclude that there is no correct answer in your given choices.
We know for our problem that one of the roots of our polynomial is -3, so lets set -3 equal to
We also know that another root of our polynomial is
(
We can conclude that there is no correct answer in your given choices.