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SpyIntel [72]
4 years ago
11

An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than

10 pounds. A consumer activist decides to test the authenticity of the claim. She follows the progress of 18 women who recently joined the weight-reduction program. She calculates the mean weight loss of these participants as 10.8 pounds with a standard deviation of 2.4 pounds. Which of the following are appropriate hypotheses to test the advertisement’s claim?
Mathematics
1 answer:
Eddi Din [679]4 years ago
3 0

Answer:

Step-by-step explanation:

The consumer activist wants to prove that participants of the new diet program, on average, lose more than 10 pounds. Then the null hypothesis would be

H0: μ= 10

The null hypothesis indicates that a population parameter (in this case, mu represents the population mean) is equal to a hypothetical value. And the alternative hypothesis is what she expects to prove:

H1: μ> 10

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Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals. How much netting did she use per goal?
snow_tiger [21]

0.37 meters  of netting

<h3>Further explanation</h3>

<u>Given:</u>

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.  

<u>Question:</u>

How much netting did she use per goal?

<u>The Process:</u>

We will solve the problem of conversion or in other words the ratio or proportion.

Option A: the conversion

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.  

Then for every 1 goal, she needs 0.37 meters of netting.

Because \boxed{ \ 1 \ goal \times \frac{1.48 \ meters}{4 \ goals} = 0.37 \ meters \ of \ netting.}

Option B: the ratio (or proportion)

In the ratio, we process as follows:

\boxed{ \ 4 \ goals : 1.48 \ meters \ of \ netting \ }

Both are divided by 4.

\boxed{ \ 1 \ goals : 0.37 \ meters \ of \ netting \ }

Thus, she uses 0.37 meters of netting per goal.

Alternative problem

How much netting did she use for 8 goals?

\boxed{ \ 8 \ goal \times \frac{1.48 \ meters}{4 \ goals} = \ ? \ } meters of netting.

We cross out eight and four because they can be divided.

\boxed{ \ 2 \times 1.48 \ meters = 2.96 \ meters \ of \ netting. \ }

She uses 2.96 meters of netting to make 8 identical mini hockey goals.

<h3>Learn more</h3>
  1. About the engine displacement of Kawasaki Ninja brainly.com/question/5009365
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Keywords: Mrs. Nguyen, 1.48 meters of netting, to make 4 identical mini hockey goals, how much netting, she uses per goal, conversion, the ratio, proportion

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Answer:

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Step-by-step explanation:

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<span>Let's analyze Hannah's work, step-by-step, to see if she made any mistakes. 

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This step is perfectly fine. 

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