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goblinko [34]
3 years ago
12

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 mean.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0

Answer:

The correct option are: (A), (B), (C) and (E).

Step-by-step explanation:

The One-Way ANOVA is a statistical test used to compare the three or more population means.

The hypothesis is:

<em>H</em>₀:  The population means are equal, i.e. μ₁ = μ₂ = μ₃ =...= μₙ

<em>H</em>ₐ: At least one of the population mean differ.

The Assumptions of One-way ANOVA are:

  1. The samples selected from each population are independent of each other.
  2. The population distribution of the dependent variables follow Normal distribution.
  3. The population variances are always equal for all the groups.

Thus, the correct option are: (A), (B), (C) and (E).

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3 years ago
Lily has two times as much money invested in 8% stocks as she has in bonds paying 6%. How much she has invested in stocks if her
EleoNora [17]

Answer:

Final answer is $4440.

Step-by-step explanation:

Let amount of money invested in 8% stock = x

Let amount of money invested in 6% stock = y

then total money invested $325.6 gives equation

8% of x + 6% of y = 325.6

0.08x + 0.06y = 325.6

8x + 6y = 32560...(i)

other equation will be x=2y...(ii)

plug (ii) into (i)

8x + 6y = 32560

8(2y) + 6y = 32560

16y+ 6y = 32560

22y = 32560

y=\frac{32560}{22}

y=1480

plug y=1480 into (ii)

x=2y=2(1480)=2960

Then total money invested in stocks = x+y= 1480+2960=4440

Hence final answer is $4440.

5 0
3 years ago
Marsha deposited 7,500 into a savings account 3 years ago. The simple interest rate is 5%. How much money did Marsha earn in int
Ludmilka [50]

Answer:

$1,125 in interest.

Step-by-step explanation:

We need the formula of I = P * i * t where P is the total principle, i is the rate of interest per year, and t is the total time in years.

So we have

P = $7,500

i = 5%

t = 3 years

I = 7500 * 0.05 * 3

I = 1,125 (Interest)

Now we need to find the amount using A = P + I

A = 7,500 + 1,125

A = 8,625

Therefore $8,625 is our total. While our interest is $1,125.

8 0
2 years ago
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