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Wewaii [24]
3 years ago
3

An ANOVA procedure is used for data obtained from five populations. five samples, each comprised of 20 observations, were taken

from the five populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F areSelect one:A. 3 and 30B. 4 and 30C. 3 and 119D. 3 and 116E. None of the above answers is correct
Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

Answer:

E. None of the above answers is correct

Step-by-step explanation:

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 5 groups and on each group from j=1,\dots,20 we have 20 individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2  

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2  

And we have this property  

SST=SS_{between}+SS_{within}  

The degrees of freedom for the numerator on this case is given by df_{num}=df_{within}=k-1=5-1=4 where k =5 represent the number of groups.

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=5*20-5=95.

And the total degrees of freedom would be df=N-1=5*20 -1 =99

On this case the correct answer would be 4 for the numerator and 95 for the denominator.  So th best answer would be:

E. None of the above answers is correct

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The number of texts per day by students in a class is normally distributed with a 
kobusy [5.1K]

Answer:

1, 2, 6

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation

Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts

1) For x < 90:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{90-130}{20} =-2

From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%

Option 1 is correct

2) For x > 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0

From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%

Option 2 is correct

3) For x > 190:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{190-130}{20} =3

From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%

Option 3 is incorrect

4)  For x < 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0

For x > 100:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{100-130}{20} =-1.5

From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%

Option 4 is incorrect

5)  For x = 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0

Option 5 is incorrect

6)  For x = 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{160-130}{20} =1.5

Since 1.5 is between 1 and 2, option 6 is correct

5 0
3 years ago
A meseum calculates the rate for groups by charging $4 per person along with a one-time $8 fee. If the cost for a group is $60,h
shusha [124]

Answer:

there are 13 people in the group

Step-by-step explanation:

First step is to subtract the one-time fee from the cost

$60 - $8 = $52

Second step is to divide by the cost per person

⇒ $52/$4 = 13

8 0
4 years ago
Read 2 more answers
An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was intere
snow_lady [41]
A) In order to create a sampling plan, you need to follow the following 5 steps:
    1) Define the sample population: who are the customers you want to contact?
       The costumers who bought a new car on a certain year.
    2) Define the size of population: how many customers are you going to contact?
       Of the 30000 customers who bought a car, you want to contact 1000 customers.
    3) Define the contact options: how are you going to contact the customers?
       You have a list of names and addresses, therefore you can send a questionnaire via mail.
    4) Form a sampling frame: what is the time or contact frame to get in touch with your customers? 
       You will send the questionnaires and you will wait two months for the answer.
    5) Define the analysis method: is yours a qualitative or quantitative research?
     In your case, you want a quantitative research and therefore a probabilistic sampling.

B) The 32.5% probability refers to customers having issues with the power doors locks among the costumers who had problems, it does not consider the customers who did not have any problem or those who had problems after the first 5000 miles.

C) In order to find the probability of a power door lock problem if there have been problems within the first 5000 miles, we need to consider the whole sample:
P = 13 / 1000
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Therefore, 
N = <span>0.013 </span>× 30000
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Hence, the number of new cars sold that experienced a problem with the power door locks within the first 5000 miles will be 390.
         
4 0
3 years ago
Which ordered pair is a solution to the equation y= 6x - 2?
Dmitry [639]

Answer:

  • (5, 28)

Step-by-step explanation:

  • y= 6x - 2

Verifying pairs:

(1,0)

  • 0 = 6*1 - 2
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(5, 28)

  • 28 = 6*5 - 2
  • 28 = 30 -2
  • 28 = 28 - correct

(6, 20)

  • 20 = 6*6 - 2
  • 20 = 36 - 2
  • 20 = 34 - incorrect

(3, 19)

  • 19 = 6*3 - 2
  • 19 = 18 - 2
  • 19 = 16 - incorrect
4 0
3 years ago
PLEASE HELP! 49 POINTS!<br> Show work and explain! I don't get it.
docker41 [41]

Answer:

B

Step-by-step explanation:

-6 10n to the 5 11n to the 3

you put the ones that are alike to gether. so -3 and -3 together and 5n to the 3rd and 6n to the third together and 3n to the fifth and 7n to the fifth together

3 0
3 years ago
Read 2 more answers
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