Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a s
1 answer:
You might be interested in
Answer:
Since is a bilateral test the p value would be:
Comparing the p value with the significance level given we see that
so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.
Step-by-step explanation:
Data given and notation
represent the sample mean for Atlanta
represent the sample mean for Chicago
represent the sample deviation for Atlanta
represent the sample standard deviation for Chicago
sample size for the group Atlanta
sample size for the group Chicago
t would represent the statistic (variable of interest)
significance level provided
Develop the null and alternative hypotheses for this study?
We need to conduct a hypothesis in order to check if the meanfor atlanta is different from the mean of Chicago, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:
(1)
t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Calculate the value of the test statistic for this hypothesis testing.
Since we have all the values we can replace in formula (1) like this:
What is the p-value for this hypothesis test?
The degrees of freedom are given by:
Since is a bilateral test the p value would be:
Based on the p-value, what is your conclusion?
Comparing the p value with the significance level given we see that
so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.
Answer:
0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Coin chosen from box B is red.
Event B: Blue poker chip transferred.
Probability of choosing a red coin:
7/10 of 4/9(red coin from box A)
6/10 of 5/9(blue coin from box A). So
Blue chip transferred, red coin chosen:
6/10 of 5/9. So
What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?
0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red
Answer:
Twelve divide by six times two.
4
Step-by-step explanation:
To solve this problem, first you have to use the order of operations stands for parenthesis, exponents, multiply, divide, add, and subtract from left to right.
First, multiply & divide numbers from left to right.
Therefore, the correct answer is twelve divide by six times two or 4.
<h2>Hope this helps!</h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>