First of all, we can observe that
So the expression becomes
This means that the expression is defined for every
Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask
Since we can't accept 3 as an answer, the actual solution set is
Answer:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
1) Previous concepts and data given
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
A right tailed test (sometimes called an upper test) is when the alternative hypothesis statement contains a greater than (>) symbol.
represent the sample mean
s represent the sample standard deviation
n represent the sample selected
significance level
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean for fluorescent bulbs is no more than 3.24 mg of mercury, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
IIf we know the population deviation we can apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Answer:
1 + i
Step-by-step explanation:
To rationalize multiply numerator and denominator by (2 + i )