Answer:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
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 exceed 29.9 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The degrees of freedom are given by:
Since is a one sided test the p value would be:
Conclusion
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
Taking the arcsin of both sides of the equation, you get ...
... 90° -x = {-60°, -120°}
So ...
... x = 90° -{-60°, -120°} = {150°, 210°}
The appropriate choice is ...
... 210
Answer: $57,000
Step-by-step explanation:
Understand what is being asked. 1st yr is 9000. Yr 2 is 9000+1200= 10200. Yr 3 =10,200+1200=11,400. Yr 4 is 11,400 +1200=12,600 and Yr 5 is 12600+1200=13,800. Over the course of 5 yrs you are paying 9000+10200+11400+12600+13800 which has a total sum of $57,000.
Answer:
C
Step-by-step explanation:
Since the output is just the input multiplied by 3, the output will be 15.4*3=46.2, or answer choice C. Hope this helps!