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
After counting, there are 23 people in attendance. If each person is eating two burgers:
You'll need at least
46 burgers.
Twice the sum of a number and 4 is 14. In this case the numbers are added first, and the ANSWER is doubled.
maybe u had to multiply the rate and monthly payment
Answer:
Probability of chossing a face card and the month of june = 0.019
Step-by-step explanation:
Let A be the event that a face card is chosen from a deck of 52 cards
And
B be the event that a month is being chosen from 12 months of an year
So,
n(S)for A=52
n(S)for B=12
As a deck of card has total of 12 face cards so
P(A)=12/52
=3/13
P(B)=1/12
As both the events are independent, the probability of A and B is the product of both events’ probabilities.
P(A and B)= P(A)*P(B)
=3/13*1/12
=3/156
=0.019
