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olasank [31]
3 years ago
14

A study reports the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a

week for six months. The margin of error for a 95% confidence interval is given as plus or minus 5 milligrams per deciliter of blood (mg/dl). This means that
Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

This means that we are 95% confident that the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a week for six months is between plus or minus 5 milligrams per deciliter of blood (mg/dl) to the sample mean.

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

For 95% confidence interval, it means that we are 95% confident that the mean of the population is between the given upper and lower bounds(margin of error) of the confidence interval.

For the case above, the interpretation of the 95% confidence interval is that we are 95% confident that the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a week for six months is between plus or minus 5 milligrams per deciliter of blood (mg/dl) to the sample mean.

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Olegator [25]

Answer: \frac{4}{5}

Step-by-step explanation:

10 pens - 2 pens = 8 pens

Write 8 of 10 as a fraction.

You get \frac{8}{10}, right?

Now, simplify 8/10.

You get 4/5.

8 0
3 years ago
The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel
larisa [96]

Answer:

225

Step-by-step explanation:

The sum total of all the angles is 7,740 degrees,

The formula for the interior angle is 180(n - 2) where n is the number of sides in the polygon

Set this equal to 7740

180 (n-2) = 7740

Divide each side by 180

 180/180 (n-2) = 7740/180

  n-2 =43

Add 2 to each side

n-2+2 = 43+2

n = 45

Each vertex hold 5 people so take n and multiply by 5

45*5 = 225

The Ferris wheel holds 225 people

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3 years ago
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kakasveta [241]

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true

Step-by-step explanation:

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7 0
2 years ago
Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at ru
valina [46]
  1. For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
  2. The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
  3. Based on this, we should <u>fail to reject</u> the null hypothesis.
  4. Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

4 0
2 years ago
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