Nondigestible carbohydrates can be used in diet foods, but they may have Problem 7.2 effects on colonic hydrogen production in humans. We want to test to see if inulin, fructooligosaccharide, and lactulose are equivalent in their hydrogen production. Preliminary data suggest that the treatment means could be about 45, 32, and 60 respectively, with the error variance conservatively estimated at 35. How many subjects do we need to have power .95 for this situation when testing at the ????1 = .01 level?

Answers

Answer 1

Answer:

Answer:

null hypothesis = µ1=µ2=µ3; µ1= popuation mean of inulin µ2 = population mean of fructicoligosaccharide =µ3=population mean of lactulose

alternative hypothesis =µ1≠µ2 ≠µ3

t1= µ-45/s1 / N-1

at the significance level 0.01

t at ᵅ/2 =0.005 and degree of freedom= 35-1=34 is 2.25

t1 = µ-32/s1/N-1

2.25= µ-45/s1/34

= s1/34= µ-45/2.25

=s1 =(µ-45/2.25)*34

t2= µ-32/s2/34

2.25 =µ-32/s2/34

s2/34= µ-32/2.25

s2=µ-32/2.25*34

T= 45-32/s1/sqrt34+s2/sqrt34

t at 0.005 and no of grees of freedom 68 =2.37

2.37=45-32/

or s1/sqrt34+s2/sqrt34 = 13/2.37

s1+s2 = 13/2.37 *5.83

s1+s2= 31.98 or 32

(µ1-45/2.25)*34+µ2-32/2.25*34=32

or µ1+µ2 = 2525

µ1=2525-µ2

µ1 and µ2 are not equal

thus null hypothesis is rejected

conclusion all the three components are not in equal amount in hydrogen production

Explanation : in this experiment we have to prove whether the means of insulin,fructicoligosaccharide and lactulose are equal. so even if we prove that two of them are not equal null hypothesis will be rejected. we use student-t test because we have to compare the means of two population.

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Answers

Answer:

The domain is all real numbers and the range is all real numbers

Step-by-step explanation:

The distance travel on the x-axis, you will travel on the complete axis so the answer to the domain is all real numbers. For the range, the distance travel on the y-axis, you travel on the complete axis so the answer is all real numbers.

An office will increase salary to its top 8% employees on the basis of a performance score the office created for each employee. The performance score is approximately normal with mean 82.5 and standard deviation 9.25. How high must an employee score in order to qualify for increase in the salary?

Answers

Answer:

An employee's score in order to qualify for increase in the salary must be higher than 95.45.

Step-by-step explanation:

Let X represent the performance score of employees.

It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.

It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.

That is, the probability to qualify for increase in the salary is,

P (X > x) = 0.08

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⇒ P (Z < z) = 0.92

The corresponding z-value is,

z = 1.40

Compute the value of x as follows:

$z=(x-\mu)/(\sigma)\n\n1.40=(x-82.5)/(9.25)\n\nx=82.5+(1.40* 9.25)\n\nx=95.45$

Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.

A quadratic equation is shown:x2 - 14x + 41 = 0
Which of the following is the first correct step to write the above equation in the form (x - p)2 = 9, where p and q are integers?
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Answers

Answer:

The correct answer is the first option

Step-by-step explanation:

Quadratic Equation

The standard form of a quadratic equation is

$ax^2+bx+c=0$

Sometimes we need to change the expression of the same equation to the form

$(x-p)^2=q$

To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.

The given quadratic equation is

$x^2-14x+41=0$

Recall the square of a binomial is

$(x-p)^2=x^2-2px+p^2$

The first term is already present. The second term gives us the value of p:

$-2px=-14x$

Solving

$p=7$

Now we need to produce the third term $p^2=49$ . We only have 41, thus we need to add 8 to both sides of the equation:

$x^2-14x+41+8=0+8$

The correct answer is the first option

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Answers

Answer: 575

Step-by-step explanation:

Answer: yum!!!

Step-by-step explanation:

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Answers

The claim is incorrect because the car's odometer is not perfectly accurate. A 10-minute he can measure to an accuracy of 1 mile, but is prone to error due to wear, calibration, measurement error and other factors. Additionally, factors such as tire pressure and changes in road conditions can affect the accuracy of odometer readings.

What is odometer of car?

An odometer is an in-vehicle device that measures the distance traveled by the vehicle. Displays the total number of miles or kilometers the car has traveled since the car was manufactured or the odometer was last reset. This measurement is important for several reasons. B. To track vehicle maintenance schedules, estimate fuel consumption, and determine vehicle resale value. Odometers typically use mechanical or electronic components to measure the distance traveled by a vehicle and display the information on the dashboard. However, as mentioned earlier, the accuracy of odometer readings depends on a number of factors.

To know more about the odometer

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The volume of an object is given as a function of time by V = A + B t + C t4 . Find the dimension of the constant C