State the requirements that must be satisfied to use the one-way ANOVA procedure. Select all that apply.
A. The k samples must be independent of each other. B. There must be k simple random samples, one from each of k populations. C. The populations must be normally distributed. D. There must be k simple random samples, each from the same population. E. The populations must have the same variance. F. The populations must have the same m

B. There must be k simple random samples, one from each of k populations.

A. The k samples must be independent of each other.

C. The populations must be normally distributed.

E. The populations must have the same variance.

D. There must be k simple random samples, each from the same population.

Step-by-step explanation:ANOVA (Analysis of variance) is a Mathematical and statistical analysis tool used t analyse the variance of a sample.

ANOVA was formulated based on the law of total variance by Ronald Fisher a Biologist and statistician. The variance from sample is partitioned to Attribute it to different causes.

Requirements to Perform a One- Way ANOVA Test

(1) There must be k simple random samples, one from each of k populations.

(2) The k samples must be independent of each other.

(3) The populations must be normally distributed.

(4) The populations must have the same variance.

(5) There must be k simple random samples, each from the same population.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."