Respuesta :
Answer:
Null hypothesis:[tex]\mu \leq 3.24[/tex]
Alternative hypothesis:[tex]\mu > 3.24[/tex]
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.
[tex]\bar X=3.29[/tex] represent the sample mean
s represent the sample standard deviation
n represent the sample selected
[tex]\alpha[/tex] 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:[tex]\mu \leq 3.24[/tex]
Alternative hypothesis:[tex]\mu > 3.24[/tex]
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:
[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (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".
