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lilavasa [31]
3 years ago
14

Which of the following statements is true in a one-way ANOVA? a. The critical value of the test will be a value obtained from th

e F-distribution. b. If the null hypothesis is rejected, it may still be possible that two or more of the population means equal. c. The degrees of freedom associated with the sum of squares for treatments is equal to one less than the number of populations. d. All of these. e. None of these.
Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

d) All of the above

Step-by-step explanation:

A one way analysis of variance (ANOVA) test, is used to test whether there's a significant difference in the mean of 2 or more population or datasets (minimum of 3 in most cases).

In a one way ANOVA the critical value of the test will be a value obtained from the F-distribution.

In a one way ANOVA, if the null hypothesis is rejected, it may still be possible that two or more of the population means are equal.

This one way test is an omnibus test, it only let us know 2 or more group means are statistically different without being specific. Since we mah have 3 or more groups, using post hoc analysis to check, it may still be possible it may still be possible that two or more of the population means are equal.

The degrees of freedom associated with the sum of squares for treatments is equal to one less than the number of populations.

Let's say we are comparing the means of k population. The degree of freedom would be = k - 1

The correct option here is (d).

All of the above

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Dmitry_Shevchenko [17]

Answer:

<h2>$36.00</h2>

Step-by-step explanation:

$12.00 - the total cost of 4 of equally priced gloves

$12.00 : 4 = $3.00 - the cost of 1 glove

The cost per glove is increased by $1.00. Therefore new cost of 1 glove is

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The total cost of 9 of gloves at the new price:

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6 0
3 years ago
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
3 years ago
If sample data come from a population that is not normally distributed, which
yuradex [85]

Answer:

For a data from population which is not normally distributed, the sample means would be approximately a normal distribution if the sample size (n) is greater than 30

Step-by-step explanation:

For a data from population which is not normally distributed, the sample means would be approximately a normal distribution if the sample size (n) is greater than 30 i.e n ≥ 30 this is because the shape of a sample distribution depends on the sample size. But for  normal distribution population, the sample means would be approximately a normal distribution even if the sample size is less than 30;

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3 years ago
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raketka [301]

Answer:

See the image below:)

Step-by-step explanation:

4 0
3 years ago
Work out an estimate for 31 times 9.87 over 0.509
Ganezh [65]

Answer:

620

Step-by-step explanation:

9.87 is about 10 and 0.509 is about 0.5

(31 * 10) / 0.5 = about 620

5 0
3 years ago
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