Answer:
The 99% confidence interval for the proportion of athletes who graduate is (0.5309, 0.7323).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
99% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the proportion of athletes who graduate is (0.5309, 0.7323).
Answer:
The idea is test if the true mean operating time without recharging is more than 400 minutes (alternative hypothesis) and the complement would represent the null hypothesis, the system of hypothesis are then:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Information given
represent the sample mean time of continuous usage without recharging
represent the population standard deviation
sample size
represent the value to check
represent the significance level
t would represent the statistic for the test
represent the p value for the test
Hypothesis to verify
The idea is test if the true mean operating time without recharging is more than 400 minutes (alternative hypothesis) and the complement would represent the null hypothesis, the system of hypothesis are then:
Null hypothesis:
Alternative hypothesis:
Since we don't know the population deviation we need to use the t test with the following statistic:
(1)
Replacing the info we got:
Ok so I can’t answer it but here you goooo:)
The hint is given by the translation with respect to the y-axis. Since the translated y-coordinate is subtracted with 4, it is translated 4 units downwards. Since the x-coordinate is added with 2, that means that<em> the original coordinate is moved 2 units to the right.</em>
analyze problem
complex interest
2000+2000*0.005=2010
2010+2010*0.005=2020.05
2020.05+2020.05*0.005=2030.15025