A bond analyst is analyzing the interest rates for equivalent municipal bonds issued by two different states.
a) At α = 0.05, is there enough evidence to conclude that there is a difference in the interest rates paid by the two states?
State A:
Sample size 60
Mean interest rate (%) 3.2
Population variance .02
State B:
Sample size 60
Mean interest rate (%) 3.4
Population variance .05

The p value can be calculated with this probability:

The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different

Step-by-step explanation:

Information provided

represent the mean for sample A

represent the mean for sample B  

represent the sample standard deviation for A

represent the sample standard deviation for B

sample size for the group A

sample size for the group B  

Significance level provided

z would represent the statistic

Hypothesis to test

We want to verify if that there is a difference in the interest rates paid by the two states, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic for this case since we know the population deviations is given by:

(1)  

Replacing the info given we got:

The p value can be calculated with this probability:

The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation: