What is b<4 on a number line
2 answers:
Answer:
(SEE ATTACHED PICTURE)
Step-by-step explanation:
You put a circle above the number used in the inequality.
The circle is closed if the inequality is greater than or equal to, or less than or equal to. This indicates that the number is included.
The circle is open if the inequality is greater than, or less than. This indicates that the number is not included.
The arrow goes to the left if it is less than, and to the right if it is greater than.
So, for your problem, an open circle goes about the number 4 and points left.
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Answer:
n=6
"=T.INV(1-0.025,5)", and we got the critical values given by:
n=12
"=T.INV(1-0.025,11)", and we got the critical values given by:
Step-by-step explanation:
Previous concepts
The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".
The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.
The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."
Solution to the problem
For n=6
In order to find the critical value we need to take in count that we are conducting a two tailed test, so we are looking on the t distribution with df=n-1=6-1=5 degrees of freedom, a value that accumulates of the area on each tail. We can use excel or a table to find it, for example the code in Excel is:
"=T.INV(1-0.025,5)", and we got the critical values given by:
For n=12
In order to find the critical value we need to take in count that we are conducting a two tailed test, so we are looking on the t distribution with df=n-1=12-1=11 degrees of freedom, a value that accumulates of the area on each tail. We can use excel or a table to find it, for example the code in Excel is:
"=T.INV(1-0.025,11)", and we got the critical values given by: