Answer:
D
Step-by-step explanation: 1/3 x 3 = 1/9 same with 2/3
Answer:
a)
b) 
c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Step-by-step explanation:
Information given
represent the mean for 1
represent the mean for 2
represent the population standard deviation for 1
represent the population standard deviation for 2
sample size for the group 1
sample size for the group 2
z would represent the statistic
Hypothesis to test
We want to check if the two means for this case are equal or not, the system of hypothesis would be:
H0:
H1:
The statistic would be given by:
(1)
Part a
Replacing we got:

Part b
The p value would be given by this probability:

Part c
Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
<span>Simplifying
14x + -21xy
Factor out the Greatest Common Factor (GCF), '7x'.
7x(2 + -3y)
Final result:
7x(2 + -3y)
that is the answer on how to do it</span>
Answer:
A) Reject the null hypothesis and conclude that chocolate affected mood because zero, or no effect, does not fall within the confidence interval
Step-by-step explanation:
The confidence interval could be used as a tool to test an hypothesis on a some certain conditions. When we obtain a confidence interval whose range includes the value 0, we would fail to reject the null hypothesis of such analysis as this upholds the truth of the null hypothesis. However, if the interval does not contain the value 0, we reject the null and claim that there is significant evidence to accept the alternative hypothesis.
Hence, for the confidence interval given [2.34, 5.41], the interval does not contain the value 0, Hence, we reject the null.