A compound inequality is the combination of one or more inequalities.
The solution to is
The inequality is given as:
Open bracket
Add 4 to all three sides
Divide through by 2
Hence, the solution to is
See attachment for the number line of
Read more about compound inequalities at:
Answer:
There is enough evidence to conclude that the sample is from a population of songs with a mean greater than 210 sec.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 210 seconds
Sample mean, = 234.1 sec
Sample size, n = 40
Sample standard deviation, s = 54.52 sec
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
We calculate the p-value with the help of standard normal table.
P-value = 0.004005
Since,
We fail to accept the null hypothesis and accept the alternate hypothesis.
Thus, there is enough evidence to conclude that the sample is from a population of songs with a mean greater than 210 sec.