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
Answer:
57.5
Step-by-step explanation:
First you would have to multiply following PEMDAS so
(1/4)(2)
=0.5
Then subtract 58 and 0.5
58-0.5
=57.5
and thats your answer
The answer to the question is B
Answer:
f(1/3) = 1
Step-by-step explanation:
Plug 1/3 in for n
f(1/3) = 3(1/3)
Now simplify
f(1/3) = 1 { 3(1/3) = (3/1)(1/3) = 3/3 = 1 }