According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean diets lost more weight and got greater cardiovascular benefits than people on a conventional low-fat diet (The Boston Globe, July 17, 2008). A nutritionist wishes to verify these results and follows 30 dieters on the low-carbohydrate and Mediterranean diets and 30 dieters on the low-fat diet. These data (measured in pounds) can be found on the text website, labeled Different Diets. Let Low-carb or Mediterranean and Low-fat diets represent populations 1 and 2, respectively. Use Table 2.
Low-carb Low-carb/
Mediterrean Diets Low- Fat diet Mediterreand diet Low-fat Diet
9.5 6.5 6.8 5.9
8.1 5.8 9.1 6.9
10.4 9.9 9.4 9.1
11.9 5.1 10.2 8.0
11.8 8.0 9.5 8.9
12.6 6.3 9.5 3.4
6.7 6.3 9.4 4.6
9.6 4.4 12.0 6.2
11.6 5.7 9.9 4.6
8.4 5.9 9.7 6.7
9.0 6.8 9.2 4.6
7.5 5.1 13.0 7.1
7.2 6.3 11.3 11.0
8.5 5.5 13.6 4.5
8.8 5.5 9.0 3.9
a.Set up the hypotheses to test the claim that the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0
H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0
b-1.Using the appropriate commands in Excel, find the value of the test statistic. Assume that the population variances are equal and that the test is conducted at the 5% significance level. (Round your answer to 2 decimal places.)
Test statistic
b-2. What is the critical value and the rejection rule?
Reject H0 if tdf < -1.672.
Reject H0 if tdf < -2.002.
Reject H0 if tdf > 2.002.
Reject H0 if tdf > 1.672.
c. At the 5% significance level, can the nutritionist conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet?
No
Yes
Low-carb/Mediterrean Diets Low-fat Diet
9.5 6.5
8.1 5.8
10.4 9.9
11.9 5.1
11.8 8
12.6 6.3
6.7 6.3
9.6 4.4
11.6 5.7
8.4 5.9
9 6.8
7.5 5.1
7.2 6.3
8.5 5.5
8.8 5.5
6.8 5.9
9.1 6.9
9.4 9.1
10. 2 8
9.5 8.9
9.5 3.4
9.4 4.6
12 6.2
9.9 4.6
9.7 6.7
9.2 4.6
13 7.1
11.3 11
13.6 4.5
9 3.9
Answer:
Explained below.
Step-by-step explanation:
A two-sample test is to be performed to determine whether the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
(a)
The hypothesis can be defined as follows:
H₀: μ₁ - μ₂ ≤ 0 vs. Hₐ: μ₁ - μ₂ > 0
(b-1)
Use Excel to perform the t test for independent samples.
The output is attached below.
The test statistic value is, t = 7.58.
(b-2)
The degrees of freedom is, df = 58.
The critical value is, t₅₈ = 1.672.
The rejection region is:
Rejected H₀ if t > t₅₈ = 1.672.
(c)
Decision:
t = 7.58 > t₅₈ = 1.672
The null hypothesis will be rejected at 5% level of significance.
Thus, the nutritionist can conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet.
The correct option is Yes.
Pls help me
8th grade math
Answer:
y-intercept = 7
Step-by-step explanation:
y intercept is where the line meets with the y axis which is the vertical axis.
hope this helped!
598x 10 reminder of 3
Answer:
you wrote that a bit wrong
Step-by-step explanation:
What is the square root of 36?
A.4
B.6
C.8
D.10
Answer:
B 6
Step-by-step explanation:
because 6x6 is 36
Answer:
6
Step-by-step explanation:
6×6=36 bdhdgsjsbdbd
What reference angle will you use to determine cos 480° ?
A.)30°
B.)45°
C.)60°
D.)0°
Easy question for easy points
Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Step-by-step explanation:
What must be true about the average rate of change between any two points on the graph of an increasing function?
Answer:
If a function is increasing, the average rate of change between any 2 points must be positive.
If we have an increasing function, the average rate of change between any two points must always be positive.
What must be true about the average rate of change?
For an increasing function f(x), we have that if:
b > a
Then:
f(b) > f(a).
Now, we define the average rate of change on an interval (a, b) as:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
In this case, because:
b > a
f(b) > f(a)
Then:
b - a > 0
f(b) - f(a) > 0.
So both numerator and denominator are positive, which implies that the quotient must be positive.
Then, if we have an increasing function, the average rate of change between any two points must always be positive.
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I’m confused can someone help?!
Answer:
C: up two over 1
Simplify 5^2•5^4
A. 5•8
B. 5^8
C. 5^2
D. 5^6
9.215
627
How to work the problem
Answer:
multiply
Step-by-step explanation:
Luisa wants to use place-value blocks to show 367+215. How many tens blocks will she need to show the sum by regrouping?
Answer:
She will need 58 tens blocks but there is a leftover amount of 2 so that would be 2 ones as well.
Step-by-step explanation:
357+215=582/10=58.2 (2 is the remander and thats how I got 2 ones as well)
What is the correct answer on identify the error(s) in the proposed proof?
Answer:
correct i think
Step-by-step explanation:
The area base of this rectangular prism is 256 in2. What is the volume of the rectangular prism?
Step-by-step explanation:
volume of the rectangular prism is obtained from the following equation :
rectangular prism base area × rectangular prism height
so the volume is : 256 × h
PLEASE HELP ME WITH THIS MATHS QUESTIONS!!!
WILL GIVE BRAINLIEST!!!
Answer:
a) y = (x+2)/3
b) 5
Step-by-step explanation:
f^-1(x) means "f inverse of x". To find the inverse, we simply:
a ) f(x) = 3x -2
y = 3x - 2 --> because f(x) is the same thing as y
x = 3y - 2 --> to find the inverse, we simply just switch x and y
x + 2 = 3y
y = (x+2)/3
b) f^-1(13)
f^-1(13) = [((13) + 2)/3]
f^-1(13) = (15)/3
f^-1(13) = 5
a. -3x2 + 4x +5 for x =-2
Answer:
9
Step-by-step explanation:
What is the mean score what is the median of the score brookewood medical center
Step-by-step explanation:
The mean of a set a score is simply the average score.
To find the mean, simply sum the individual scores and divide by the total number of scores;
Mean of a set of score = [tex]\frac{Total scores}{Number of scores}[/tex]
Another way to find the mean is using:
Mean = [tex]\frac{summation of all f(x)}{summation of all the frequency}[/tex]
Multiply the frequency of each score with the score and divide by the sum of all of the frequency.
2. The median is the middle score;
Arrange the data set from the lowest to the highest, the median is the one that falls in the middle.
If there are two numbers find their sum and divide by 2.
A bakery sells 3 muffins for every 5 pizza pies. The bakery sold a total of 24 muffins and pizza pies together. How many of each kind did the bakery sell?
6 muffins and 18 pizza pies
9 muffins and 15 pizza pies
15 muffins and 6 pizza pies
18 muffins and 6 pizza pies
Answer:
b
Step-by-step explanation:
9 muffins and 15 pizza pies. im pretty sure
What is the mixed number form of 27/4 SOMEONE PLS HELP
Answer:
6 [tex]\frac{3}{4}[/tex]
yesterday,it's was negative 7 degrees Fahrenheit outside today, it is 14 degrees Fahrenheit warmer. Click on today's temperature
Answer:
It is 7 degrees.
Step-by-step explanation:
Hope this helps! Add -7 + 14= 7
Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.
59,100 kilograms
59.1 centigrams
591,000 centigrams
5.91 kilograms
Answer:
5.91 kilograms
591,000 centigrams
Step-by-step explanation:
These two are WRONG:
59,100 kilograms
59.1 centigrams
Ameera had $10.50 with her. She bought some pencils costing $2.50 each and some erasers costing $1.00 each. Could she buy 4 pencils and 3 erasers with the money she had?
Answer:
Step-by-step explanation:
I need help please! this is on EDGE2020 !
Answer:
D
Step-by-step explanation
A. there are 6 triangles so not this
B. Only 2 rectangles
C. 6 triangles once again
D. everything matches
Answer:
for every 6 triangles there are 2 rectangles
The volume V of a pyramid is given by the formula V = Bh where B is the area of the base and h is the height
v = 216 cm
B - 36 cm
a. Solve the formula for h
b. Find the height of the pyramid
The height is
centimeters
Answer:
A. V/B=H B. The height, h, is 6 cm.
Step-by-step explanation:
A. Rearrange the formula V=Bh by dividing both sides by B to isolate h.
B. Plug in the Volume and Base into your rearranged formula to find the height. 216/36= h. h=6
a. The formula for height is h = V/B.
b. The height of the pyramid is 6 centimetres.
What is the total surface area of a given pyramid ?The total surface area of a pyramid is the surface area of the triangular sides in addition to the surface area of the triangular base.
According to the given question we have the volume of the pyramid which is 216 cm³ and base is also given which is 36 cm.
Given V = Bh
∴ h = V/B.
h = 216/36
h = 6 cm.
learn more about pyramid here :
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what is 4/9 times what equals 12
Step-by-step explanation:
4/9A = 12
A = 12×9/4
= 27
......
1x2x3x4x5 will make brainliest
Answer:
120
Step-by-step explanation:
I wrote down the equation on paper and solved it
The product of the given numbers is 120.
The given expression is 1×2×3×4×5.
Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Here, 1×2×3×4×5 = 120
Therefore, the product of the given numbers is 120.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
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6. When you barter, you must ________
in order to buy something.
Answer:
When you barter, you must trade it for something else in order to buy something.
Step-by-step explanation:
When you barter, you must exchange in order to buy something.
What is barter?Barter, the direct exchange of goods or services—without an intervening medium of exchange or money—either according to established rates of exchange or by bargaining. It is considered the oldest form of commerce.
Given: A person barters
Therefore he must trade it for something else (exchange) in order to buy something.
Hence, When you barter, you must exchange in order to buy something.
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Ms.banks walks at about 3 feet per second how many miles per day could she travel is she walked without taking a break?
Answer:
About 49.09 miles a day .
Step-by-step explanation:
If n // m, which of the following statements are true? Select all that apply.
B
2.
3
200
А
60°
A m2 2 = 60°
m
B. m23 = 100
Cm2 2 + m 24 = 80°
D. m2 2 + m23 = 80°
Answer:
A is answer
Step-by-step explanation:
please follow me
Answer:
B and C
Step-by-step explanation:
Since m and n are parallel, we can call the two lines extending from the point B transversals.
[tex]m\angle{1} = 60^\circ[/tex] because they are vertical angles
[tex]m\angle{2} = 20^\circ[/tex] from the corresponding angles theorem.
[tex]m\angle{4} = 60^\circ[/tex] from the corresponding angles theorem.
[tex]m\angle{3} = 100^\circ[/tex] because angle 2 and 4 sum to 80, and [tex]m\angle{2} + m\angle{3} + m\angle{4} = 180^\circ[/tex] because it is a straight angle.
From this, we can see which ones are true.
A is false because angle 2 is 20 degrees.
B is true because angle 3 is 100 degrees.
C is true because angle 2 + angle 4 = 20 + 60 = 80 degrees.
D is false because angle 2 + angle 3 = 20 + 100 = 120 degrees.
Therefore, only B and C are true.
Space space space space
Answer:
Step-by-step explanation:
Comma comma comma comma
Answer:
space is scape
Step-by-step explanation:
Salazar is driving 70 miles per hour. At this rate, how long will it take for him to travel 840 miles?
Answer:
12 hours
Step-by-step explanation:
Step 1:
70 : 1 Ratio
Step 2:
70 : 1 = 840 : x Equation
Step 3:
840 = 70x Multiply
Step 4:
x = 840 ÷ 70 Divide
Answer:
12 hours
Hope This Helps :)