Answer:
a) (iii) ANOVA
b) The ANOVA test is more powerful than the t test when we want to compare group of means.
Step-by-step explanation:
Previous concepts
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:



And we have this property

Solution to the problem
Part a
(i) confidence interval
False since the confidence interval work just when we have just on parameter of interest, but for this case we have more than 1.
(ii) t-test
Can be a possibility but is not the best method since every time that we conduct a t-test we have a chance that we commit a Type I error.
(iii) ANOVA
This one is the best method when we want to compare more than 1 group of means.
(iv) Chi square
False for this case we don't want to analyze independence or goodness of fit, so this one is not the correct test.
Part b
The ANOVA test is more powerful than the t test when we want to compare group of means.
Answer: -5
Explanation: Numbers above 1 sea level will always be positive. Numbers under 0 sea level are negative
Answer:
rate=1.28571428571.. (1.29) miles per minute, or 77.1428571429.. (77.14) mph
Step-by-step explanation:
<em>"use distance = rate time (d=rt) to find the number of miles per hour Etty must drive to go 45 miles in 35 minutes. ( remember time is written in hours?"</em>
distance=rate*time--- we know distance and time
45 mi= rate*35
rate=45/35
rate=1.28571428571 miles per minute, or 77.1428571429 mph
-3^3 = -27
Step-by-step explanation:
Thats because -3^3 is (-3×3×3) not (-3×-3×-3) which we are multiplying a the constant not the the powers
Let x is Jiri's age
2x is Pamela's age
x + 2x = 33
3x =33
x = 33/3
x =11
Answer: Jiri's age is 11