<u>Answer:</u>
<u>Step-by-step explanation:</u>
Distance traveled by a car between two cities = 1/6 distance
Time taken to travel between the two cities = 3/5 hours
Therefore, to find how much of the distance the car can travel in 1 hour, we need to divide the given distance by the given time to get:
() ÷ (
)
Change the later fraction to its reciprocal to solve:
×
=
Therefore, in one hour, the car can travel 5/18 of the distance.
Answer:
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
Step-by-step explanation:
The standard deviation is the square root of the variance. Since the variance is 25, the sample's standard deviation is 5.
We have the sample standard deviation, not the population, so we use the t-distribution to solve this question.
T interval:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 0.95(). So we have T = 1.761
The margin of error is:
M = T*s = 1.761*5 = 8.805.
The upper end of the interval is the sample mean added to M. So it is 75 + 8.805 = 83.805.
The upper limit of a 95% confidence interval for the population mean would equal 83.805.