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Katen [24]
3 years ago
6

Researchers would like to test if the mean bone mineral density is different for the three different groups. Conduct an ANOVA te

st to determine if there is a difference in the means of the 3 groups. Use a level of significance of LaTeX: \alpha = 0.05α = 0.05. What are the null and alternative hypotheses?
Mathematics
1 answer:
laiz [17]3 years ago
3 0

Answer:

<em>H</em>₀: <em>μ₁ = μ₂= μ₃</em>

<em>Hₐ: </em>At least one of the means is different.

Step-by-step explanation:

Analysis of variance or ANOVA test is used to determine whether the means of different groups are similar or not.

The hypothesis of an ANOVA test for <em>n</em> homogeneous groups is:

H_{0}: \mu_{1}= \mu_{2}= \mu_{3}...= \mu_{n}\\H_{a}: At\ least\ one\ of\ the\ means\ is\ different

In this case the researcher is testing whether the mean bone mineral density is different for the three different groups.

The hypothesis for this test can be defined as follows:

<em>H</em>₀: The mean bone mineral density is not different for the three different groups, i.e. <em>μ₁ = μ₂= μ₃</em>

<em>Hₐ: </em>The mean bone mineral density is different for the three different groups, i.e. at least one of the means is different.

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Answer:

51

Step-by-step explanation:

5*5=25

5/5=1

5+25+1-5+25

30+1-5+25

31-5+25

26+25

51

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3 years ago
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The mean of seven positive integers is 16. When the smallest of these seven integers is removed, the sum of the remaining six in
VashaNatasha [74]

Answer: The value of the integer that was removed = 4

Step-by-step explanation:

Sum of <em>n</em> values= Mean x <em>n</em>

Given: n = 7 , Mean = 16

Let x= integer removed.

Sum of remaining 6 integers = 6

\Rightarrow\ x+108 = 16\times7\\\\\Rihghtarrow\ x+108= 112\\\\\Rightarrow\ x=112-108\\\\\Rightarrow\ x= 4

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8 0
2 years ago
A term account earns 3.6%, compounded daily for 3 years. If the amount is $8411.02 at the end of the 3 year period, what was the
ValentinkaMS [17]

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5 0
3 years ago
a zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group. What
elena-14-01-66 [18.8K]

The largest group that can go to the zoo is 23 members

Step-by-step explanation:

The given is:

  • A zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group
  • We need to find the largest group that can go to the zoo and spend less than $155 on admission

Assume that the number of members in the group is x

∵ There are x members in the group

∵ The zoo charges an admission price of $85 for the first 12

   members of a group and $6 for each additional member

   of the group

- Take 12 members from x and multiply the rest members by

   6 and then add 85 to the product

∴ The group will spend = 6(x - 12) + 85

∵ The group wants to spend less than 155 to go to the zoo

- use the symbol < between the expression above and 155

∴ 6(x - 12) + 85 < 155

- Simplify the left hand side

∴ 6x - 72 + 85 < 155

- Add like terms in the left hand side

∴ 6x + 13 < 155

- Subtract 13 from both sides

∴ 6x < 142

- Divide both sides by 6

∴ x < 23.67

- Take the largest integer less than 23.67

∵ 23 is the largest integer less than 23.67

∴ The group has 23 members

The largest group that can go to the zoo is 23 members

Learn more:

You can learn more about the inequalities in brainly.com/question/1465430

#LearnwithBrainly

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