Answer:
Step-by-step explanation:
Corresponding scores before and after taking the course form matched pairs.
The data for the test are the differences between the scores before and after taking the course.
μd = scores before taking the course minus scores before taking the course.
a) For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
b) We would assume a significance level of 0.05. The P-value from the test is 0.65. The p value is high. It increases the possibility of accepting the null hypothesis.
Since alpha, 0.05 < than the p value, 0.65, then we would fail to reject the null hypothesis. Therefore, it does not provide enough evidence that scores after the course are greater than the scores before the course.
c) The mean difference for the sample scores is greater than or equal to zero
Answer:
The mean number of customers that will arrive in a five-minute period is 2.
Step-by-step explanation:
a. What is the mean or expected number of customers that will arrive in a five-minute period
For one minute, the mean is of 0.4 customers.
So, using proportions, for 5 minutes, the mean is of 5*0.4 = 2 customers.
The mean number of customers that will arrive in a five-minute period is 2.
Let the value of the car be represented by V and the amount of years by y.
This gives us the following formula:
V = 25,635 - 3000y
(This is because we start with a value of $25,635 and the value decreases by $3,000 every year 'y')
Now, we want to know when the car is worth $3,135, so we know V = 3,135
Now we can make up our equation:
25,365 - 3,000y = 3,135
Collecting terms gives us:
-3,000y = -22,500
Finally we divide by -3,000 to find 'y'
y = -22,500 / -3,000 = 7.5
Hence, the car will be worth $3,135 after 7.5 years.
Answer: 15
explanation -2. -1. 0 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
you count from -2 to 13 on the number line
Answer:
11
Step-by-step explanation:
Substitute the given values into the expression
3² + 3(8) ÷ 2 - 2(5)
= 9 + 24 ÷ 2 - 10 ← evaluate division before addition/ subtraction
= 9 + 12 - 10
= 21 - 10
= 11
