A 1997 study described in the European Journal of Clinical Nutrition compares the growth of vegetarian and omnivorous children, ages 7–11, in Northwest England. In the study, each of the 50 vegetarian children in the study was matched with an omnivorous child of the same age with similar demographic characteristics. One of the aspects on which the children were compared was their body mass index (BMI). The differences in BMI for each pair of children (one vegetarian and one omnivore) was computed as vegetarian BMI minus omnivore BMI.
n x⎯⎯x¯ s
Vegetarian 50 16.76 1.91
Omnivorous 50 17.12 2.23
Difference (Vegetarian – Omnivorous) 50 –0.36 2.69
Construct a 95% confidence interval for the difference in mean BMI between vegetarian and omnivorous children. Use three decimal places in your margin of error.
(a) –1.433 to 0.713
(b) –1.340 to 0.620
(c) –1.312 to 0.592
(d) –1.125 to 0.405

Answers

Answer 1

The 95% confidence interval for the difference in mean BMI between vegetarian and omnivorous children, based on the given data, is (a) –1.433 to 0.713, with a margin of error of 0.360.

To calculate the confidence interval, we use the formula:

difference in means ± t * standard error of the difference in means

where t is the critical value from the t-distribution with (n1 + n2 – 2) degrees of freedom and a confidence level of 95%, n1 and n2 are the sample sizes, and the standard error of the difference in means is given by:

sqrt(s1^2/n1 + s2^2/n2)

where s1 and s2 are the sample standard deviations. Using the given data, we get a t-value of 1.984, a standard error of 0.180, and a difference in means of –0.36. Plugging these values into the formula, we get a confidence interval of (–1.433, 0.713). The margin of error is the half-width of the confidence interval, which is 0.360. Therefore, the answer is (a) –1.433 to 0.713 with a margin of error of 0.360.

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

We are to find the greatest common factor of x^7, x^3 and x^5

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Answer:

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Step-by-step explanation:

g(g(x) is a composition function. Think of g(x) as input. That means whatever g(x) equal that will be inside of the function g(x)

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Answers

Answer:

11:43 am

Step-by-step explanation:

Given data

Time of arrival= 11:19 am

We are told that she spent 24 minutes in the store

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=11:19+ 24

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Hence she left 11:43 am

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Answer:

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Answers

Answer:

Domain: (-∞,∞)

Range: (-∞, ∞)

Hope this helps.

Nathan Reynolds bought a car for $15,000. He made a down payment of $3,000. Nathan secured a loan for the balance of the purchase price at 8 percent interest for four years.
determine the monthly payment and total interest

Answers

Answer:

1) The monthly payment is approximately $292.96

2) The total interest is approximately $2,061.84

Step-by-step explanation:

1) The financing method Nathan Reynolds applied to buy the car is given as follows;

The purchase price of the car = $15,000

The down payment made for the car = $3,000

The

The interest on the loan he took for the balance of the purchase price, R = 8%

The number of years for which he took the loan, n = 4 years = 48 months

We have;

The balance of the purchase price = (The purchase price of the car) - (The down payment made for the car)

∴ The balance of the purchase price = $15,000 - $3,000 = $12,000

The balance of the purchase price = $12,000 = The loan Nathan secured

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[tex]A = P \times \dfrac{r \cdot (1 + r)^n}{(1 + r)^n - 1}[/tex]

Where;

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n = The number of months the monthly payment will be made = 48 months

By plugging in the variable values, we get;

[tex]A = 12,000 \times \dfrac{\dfrac{2}{300} \times \left (1 + \dfrac{2}{300} \right ) ^{48}}{ \left (1 + \dfrac{2}{300} \right )^{48} - 1} = 292.955068099 \approx 292.96[/tex]

Therefore, the payment amount made  monthly, A ≈ $292.96

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The total payment made in the 48 months ≈ $14,061.84

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∴ The total interest = $14,061.84 - $12,000 ≈ $2,061.84

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

If 91 is 1% of a number, what is that number? *

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Answer:

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Answer:

9100

Step-by-step explanation:

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I only need the equation pls help

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Answers

Answer:

editor edit

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Step-by-step explanation:

37650

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Answers

Answer: See explanation

Step-by-step explanation:

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I WILL GIVE BRAINLYIST!!!!!!!!!!! Help!!!!!

Answers

Answer: -6x^2-xy+15y^2

Step-by-step explanation:

The value of B-A is -6x²-xy+15y² .

What is an Equation ?

A statement where the algebraic expressions are equated with an equal sign with each other is called an Equation.

It is given that

A = 5x²+3xy-7y²

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To calculate is B - A

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Therefore the value of B-A is -6x²-xy+15y² .

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A cake recipe calls for 2 1/4 cups of flour. Mrs Allen measured 3/4 cup of whole wheat flour and plans to use bleached flour for the remainder. How much bleached flour should she use?

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Answer:

she should use 1 2/4 cups of bleached flour

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Answer:

True

Step-by-step explanation:

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Answers

Answer:

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C=1.50r would be the correct answer
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