a health status survey in a few villages revelaed that the normal serum protein value of children in that locality is 7.0g/100ml. A group of 16 children, who received high protein food for a period of 6months had serum protein values shown below.Can we consider that the mean serum protein level of these who were fed on high protein is different from that of general population

Answers

Answer 1
Yes we can becuase the villages have the serum and the children have it too so it’s all good
Answer 2

We can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.

To determine whether the mean serum protein level of the group of 16 children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml, we can perform a hypothesis test.

Let's denote:

μ1 = Mean serum protein level of the general population (assumed to be 7.0g/100ml)

μ2 = Mean serum protein level of the group fed on high protein food

The null hypothesis (H0) would be that there is no difference between the mean serum protein levels of the two groups:

H₀: μ₁ = μ₂

The alternative hypothesis (Ha) would be that there is a difference between the means:

Hₐ: μ₁ ≠ μ₂

Next, we calculate the sample mean and standard deviation of the group that received high protein food from the given serum protein values.

Assuming the serum protein values (in g/100ml) for the 16 children are as follows:

8.2, 7.6, 7.8, 7.4, 8.0, 7.9, 7.7, 7.5, 7.2, 7.3, 8.1, 7.6, 8.3, 8.0, 7.8, 7.9

Sample mean (x') = (sum of values) / (number of values) = (121.8) / (16) ≈ 7.613 g/100ml

Sample standard deviation (s) ≈ 0.352 g/100ml

Next, we perform a two-sample t-test (assuming equal variances) to compare the means of the two groups. We use the formula:

t = (x'₁ - x'₂) / √[(s₁² / n₁) + (s₂² / n₂)]

where x'₁ and x'₂ are the sample means of the two groups, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

Substituting the values, we get:

t ≈ (7.613 - 7.0) / √[(0.352² / 16) + (0.0² / 16)] ≈ 3.584

Now, we need to find the critical t-value at a given significance level (commonly set at 0.05) and degrees of freedom (df = n1 + n2 - 2). Since we have 16 + 16 - 2 = 30 degrees of freedom, the critical t-value (two-tailed test) is approximately 2.042.

Since the calculated t-value (3.584) is greater than the critical t-value (2.042), we reject the null hypothesis (H0). This means that there is a significant difference between the mean serum protein levels of the two groups.

In conclusion, based on the given data and the hypothesis test, we can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.

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Related Questions

60% of students at a local high school participate in club activities. Rewrite this percent as a fraction

Answers

Answer:

The correct answer is 3/5

Step-by-step explanation:

I know its correct :)

Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.

Answers

Answer:

∠RQT = 23.5

∠PQR  = 133°

Step-by-step explanation:

Question 1

Step 1 - Add angles together:

As all angles on a straight line must add up to 180°:

3x - 5 + x + 1 = 180

Add like terms together

3x + x - 5 + 1

4x - 4 = 180

Step 2 - Add 4 to both sides of the equation:

4x - 4 + 4 = 180 + 4

4x = 184

Step 3 - Divide both sides by 4:

[tex]\frac{4x}{4} = \frac{184}{4}[/tex]

x = 46

∠RQS = x + 1

∠RQS = 46 + 1

∠RQS = 47

Given the ray QT bisects ∠RQS, the angles must be the same on either side so:

47 ÷ 2 = ∠RQT

∠RQT = 23.5

Question 2

As we know the value of x:

∠PQR = 3x - 5

Plug known values in:

3x - 5

3(46) - 5

138 - 5

∠PQR  = 133°

This can also be calculated by subtracting known angle ∠RQS from 180:

180 - 47 = 133.

Hope this helps!

If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?

Answers

Answer:

[tex] \rightarrow [/tex] 12.5%

=================================================

Explanation/Solution:

To solve, use the formula:

[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]

Solve.

[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2

[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.

[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.

[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.

[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.

[tex] \rightarrow [/tex]x = 12.5

Therefore, the percentage of increase in the item is 12.5%.

y>-1/3x+2 x<4 how to solve the system of inequalities by graphing.

Answers

Answer:

See below

Step-by-step explanation:

1. Graph each inequality2. Take the intersection of shaded regions as solution

Attached each inequality separately and the solution showing the intersection below.

y > -1/3x + 2

Find the x - and y - intercepts, connect them with dotted line, shade the area above the line

x < 4

Draw a dotted line x = 4, shade the area to the left of the line

Two angles of a quadrilateral measure 325° and 10°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

The answer is 60 and 80

Step-by-step explanation:

Consider the functions f(x) and g(x). The function f(x)=2x-5 and g(x)= -f(x+1)+3. Describe the three transformations that are performed on f(x) to create g(x).
A.
1.

2.

3.

B. Sketch a graph of g(x):

Answers

Answer: 3

Step-by-step explanation:

I have 4 groups . After I dived Ed them into groups there were 6 groups 0f 4 and 1 group of 3. How many students were in the class ? Show all your work.

Answers

Answer: 27 students

Step-by-step explanation: 6 x 4 = 24

24 + 3 = 27

Answer:

27 Students in the class

Step-by-step explanation:

First we have to find out how many people are in the 6 groups of 4. 6x4=24

And of course 1 group of 3 people. Add them together to get 27 people.

24+3=27

Write the equation of a parabola that has a vertex of (-2,5.5) and passes through the point (-2.5,2.5).

Answers

The equation of a parabola that has a vertex of (-2, 5.5) and passes through the point (-2.5, 2.5) is  [tex]y=-12(x+2)^2+5.5[/tex]

The vertex form of the equation of a parabola is:

[tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex of the parabola

(x, y) is the point that the parabola passes through

The vertex, (h, k) = (-2, 5.5)

The point, (x, y) = (-2.5, 2.5)

Substitute h = -2, k = 5.5, x = -2.5, and y = 2.5 into the equation to solve for a.

[tex]2.5=a(-2.5-(-2))^2+5.5\\\\2.5=a(-2.5+2)^2+5.5\\\\2.5-5.5=a(-2.5+2)^2\\\\-3=a(-0.5)^2\\\\-3=0.25a\\\\a = \frac{-3}{0.25} \\\\a = -12[/tex]

Therefore, the equation of the parabola is:

[tex]y=-12(x-(-2))^2+5.5\\\\y=-12(x+2)^2+5.5[/tex]

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What is the equation of the line in slop-intercept form?



Enter your answer in the blank spots




y= __x + __

Answers

y = 5/2x + 5
or
y = 2.5x + 5

Answer:y=2.5x+5 i thank

Step-by-step explanation:

What is 1/3÷1/2 math answers?

Answers

Answer:

= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Result in decimals: 0.66666666666667

x = mutiply

[tex]=\frac{1}{3} x\frac{2}{1}[/tex]

[tex]\frac{1 x 2}{3 x 1 }[/tex]

= [tex]\frac{2}{3}[/tex]

(Hope this helps can I pls have brainlist (crown)☺️)

what is x over 5 = -3 find x value

Answers

5*-3=-15

x=-15

hope this helps

Answer:

x = -15

Step-by-step explanation:

[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]

Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.

Answers

Answer:

I dont but want to.

Hope this helps! :) ;-;

Step-by-step explanation:

Will the answer to the addition problem below be odd or even?
2156 +992 = ?

Answers

Answer:

Even

Step-by-step explanation:

When two even numbers are added there will be an even result. To check this adding 2156 and 992 gets 3148 which is an even number.

Even l, because 2156+992=3148, and thats even

Solve. 3(x-6) - 8x = -2 + 5(2x+1)

Answers

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

There are three compartments for luggage and each compartment has a capacity of 25 pieces of luggage. The first two compartments are full up and the last one contains 8 pieces of luggage. How many pieces of luggage are there?

Answers

Answer:

the first 2 compartments have 25 so 25+25=50, and the last has 8 in it so 50+8=58

Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?

Answers

Answer:

68

Step-by-step explanation:

8 boxes. 10 per one box. 8×10=80

80-12= 68

Consider the expression 8ab + 3b + 16 - 4a. (a) How many terms are there? (b) How many factors are in the first term? Identify them. (c) Which term is a constant? pls do this fast

Answers

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

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need help on the question

Answers

whats the question??

Answer:

what's the question?

Step-by-step explanation:

I'd love to help but i don't see a question...

Lamis purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lamis paid.

Answers

N x 5 = c hope this helps!
n5=c

n=number of notebooks
c=total cost

Are the following polynomial sets open or closed? 6. (x ^ 2 + x - 4) - (x ^ 2 + x + 8) 7 (2 - x)(1 + 3x) 8. (5b - 3c)(7b - 3c)

Answers

Answer:

=5880b2x4−6048bcx4+1512c2x4−3920b2x3+4032bcx3−1008c2x3+33320b2x2−34272bcx2+8568c2x2−82320b2x+84672bcx−21168c2x−31360b2+32256bc−8064c2+6x2+6x−24

Step-by-step explanation:

will give 25 points if right

Answers

The slope of the equation is 1/6

Answer:

1/6

Step-by-step explanation:

When the equation is in the form "y = mx + b", m is the slope. This linear line has a slope of 1/6 and a y-intercept of -1/2.

please view the img above for the question ^^​

Answers

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

Janice bought 4 oranges for $3.40. what is the unit price.

Answers

You have to divide 3.40/4 and the unit price
will be 0.85
3.40 divided by 4
.85 per unit


Check answer
.85 unit x 4 = 3.40

By the way this is not my work

Answers

Answer:

Use unit converter.

Step-by-step explanation:

Is y=1/2x+7 a function

Answers

No that is not a function 1/2x is equal to 2x power -1 and a power cannot be negative so it is not a function

What expression is equivalent to 5(x+7)

Answers

Answer:

5x + 35

Step-by-step explanation:

The perimeter of the smallest square is 48 feet. What is the perimeter of the largest square?

Answers

Answer:

x > 48

Step-by-step explanation:

There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((

sorry if this didn’t help but once again… not enough information :(

Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses
absorption costing
Sales price
$ 57.50 per unit
Direct materials
$ 10.50 per unit
Direct labor
$ 8.00 per unit
Variable overhead
$ 12.50 per unit
Fixed overhead
$ 1,237,500 per year
1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and
75,000 units are sold.
2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 1
Required 2
Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced
and 75,000 units are sold.
(a) 75,000 Units (b) 110,000 Units
Produced and
Produced and
75,000 Units Sold 75,000 Units Sold
Sales
4,312,500
4,312,500

Answers

The gross income or profit of the company is the difference between the

total revenue and the cost of items produced.

The values for the gross profits are;

(a) $750,000(b) $ -335,0002. The profit of the would decrease by $1,085,000

Reasons:

The gross profit is given by the equation;

Gross profit = Net revenue - Cost of items sold

The net revenue for 75,000 units = $57.50 × Sales price per unit

∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500

Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead

Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500

The cost of producing 75,00 units per year = $3,562,500

Gross profit = $4,312,500 - $3,562,500 = $750,000

(b) When the number of units produced = 110,000, we have;

Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500

Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)

2. By producing 35,000 units more than it sells, we have;

Cost > Revenue, therefore, the gross profit decreases

Let, X, represent the number of units sold, we have;

The number of units produced = X + 35,000

Which gives;

Cost of production = (X + 35,000) ×  (10.50 + 8.00 + 12.50) + 1,237,500 =

31·X + 2,322,500

Net revenue = X × 57.50 = 57.50·X

The profit =  57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500

When X = 75,000, we have;

Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000

Therefore;

The gross profit will decrease by 750,000 - (-335,000) = 1,085,000

The gross profit of the company will would decrease by $1,085,000, if it

sells 75,000 units and produces 110,000, which is 35,000 more units than

is sells.

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A long distance phone company charges a flat rate of $1.01 and then $0.09 for each minute. If
a call cost $9.56, how long did it last?

Answers

Answer:

30

Step-by-step explanation:

Answer:

95 minutes

Step-by-step explanation:

Deduct the flat rate from the total to see how much was spent on minutes

9.56 - 1.01 = 8.55

to get minutes divide that by the cost per minute

8.55/0.09 = 95

95 minutes

25Y^2/5y-4 + 16/4-5y​

Answers

Answer:

5Y2y-5y

Step-by-step explanation:

5

Y

2

y

5

y

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