Answer:
D) The manager should fail to reject the null hypothesis; there is not enough evidence to conclude that the number of unique daily listeners has changed.
Step-by-step explanation:
The scenario indicates the null hypotheses and alternative hypotheses are
Null hypotheses: The number of unique daily listeners hasn't changed.
Alternative hypotheses: The number of unique daily listeners has changed.
The null hypothesis is rejected if the calculated p-value is less significance level.
We are given that p-value is 0.0743 and confidence level=0.95.
Significance level =α=1-0.95=0.05.
As we can see the p-value is greater than significance level, so, we fail to reject the null hypotheses at 5% significance level.
Thus, we conclude at the 95% confidence level that the manager should fail to reject the null hypothesis; there is not enough evidence to conclude that the number of unique daily listeners has changed
C. An arithmetic sequence with common difference 6
Answer: a) 0.84 b) 0.67 c) 1.28
Step-by-step explanation:
Using the standard normal distribution table for z-value , we have
(a) The value of 
would result in a 80% one-sided confidence interval : 
(b) The value of would result in a 85% one-sided confidence interval : 
(c) The value of would result in a 90% one-sided confidence interval : 
Answer:
The probability is 0.2, or 20%.
Step-by-step explanation:
A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. If we know that the marble drawn is not red, the number of possible outcomes N is
N = (number of blue marbles) + (number of green marbles) = 25
and the number of relevant outcomes (marble being green) is n:
n = (number of green marbles) = 5
So, the probability is
P = n / N = 5 / 25 = 1 / 5 or 0.2, or 20%
