Answer:


Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old
Step-by-step explanation:
Data given
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
And replacing we got:
Now we can calculate the critical value but first we need to find the degreed of freedom:

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old
Keys on a keyboard because it can’t be letters because there are numbers and punctuation marks, it can’t be numbers because there are letters and punctuation marks, it can’t be punctuation merks either cause there are letters and numbers. So the only option left is keys on a keyboard cause it has all letters numbers and punctuation marks
Answer: no yes
Step-by-step explanation:
ANSWER
C(2,-6)
EXPLANATION
The solution set to given inequality is the shaded region.
The points are also located in the graph above.
The only point that falls in the solution region is C(2,-6)
The ordered pair that is in the solution set is C(2,-6)
The third option is correct.
Answer:
reverse
Step-by-step explanation:
When you multiply or divide on one side of an inequaltiy, you have to mirror it on the other side and you have to reverse the inequality sign.