A study randomly assigned adult subjects to one of three exercise treatments: (1) a single long exercise period five days per week; (2) several ten-minute exercise periods five days per week; and (3) several ten-minute periods five days per week using a home treadmill. The study report contains the following summary statistics about weight loss (in kilograms) after six months of treatment: Does the type of exercise treatments influence weight loss significantly? Use α = 5%. Treatment Mean Std. Dev. n Long periods 10.2 4.2 10 Multiple short periods 9.3 4.5 10 Multiple short periods with treadmill 10.2 5.2 10 The test statistic is:
Answers
Answer:
Step-by-step explanation:
Hello!
For this study adult subjects were randomly assigned to three different exercise treatments establishing three different groups:
Group 1: Single long exercise period five days per week
Group 2: Several 10' exercise periods five days per week
Group 3: Several 10' exercise periods five days per week using a home treadmill
All subjects were weighed before and after 6 months of training and their weight loss was determined.
The objective of this study is to determine if there is any difference between the treatments, meaning, if the weight loss is the same regarding the type of exercise or if the type of exercise has some influence over it.
To test this you have to conduct an ANOVA, with the hypothesis:
H₀: μ₁= μ₂= μ₃
H₁: At least one μi differs from the others. ∀ i=1, 2, 3
α: 0.05
The statistic is:
[tex]F= \frac{MS_{Tr}}{MS_{Er}} ~~F_{k-1; n-k}[/tex]
Normally it is better to have the raw data to conduct the analysis using statistical software, but it is not impossible to calculate the statistic using the descriptive statistics for each group.
As you know the statistic is calculated as the ratio between the mean square of the treatments (between groups) and the mean squares of errors.
Each means square is calculated as the sum of squares by the degrees of freedom of the category: SS/Df
So first you need to determine the SS and Df of treatments and errors, then the MS and finally the value of F.
Treatments:
> The degrees of freedom between treatments are k-1 (k represents the number of treatments):
DfTr: 3-1= 2
>The sum of squares is:
SSTr: ∑ni(Ÿi - Ÿ..)²
Ÿi= sample mean of sample i ∀ i= 1,2,3
Ÿ..= grand mean is the mean that results of all the groups together.
So the Sum of squares of treatments (SSTr) is the sum of the square of the difference between the sample mean of each group and the grand mean.
To calculate the grand mean you can sum the means of each group and dive it by the number of groups:
Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ k = (10.2+9.3+10.2)/3= 29.7/3= 9.9
SSTr= (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (10.2 - 9.9)² + (9.3 - 9.9)² + (10.2 - 9.9)²= 0.54
> The Means Squares is:
MSTr= SSTr/DFTr= 0.54/2= 0.27
Errors
>Degrees of freedom of error DfEr= N-k Where N is the total of observations of the experiment (N= n₁+n₂+n₃) and k is the number of treatments.
DfEr= N-k= 30-3= 27
>The mean square error (MSEr) is the estimation of the variance error (σ[tex]_{e}^2[/tex] → S[tex]_{e}^2[/tex]), you have to use the following formula:
[tex]S_{e}^2= \frac{(n_1-1)S^2_1+(n_2-1)S_2^2+(n_3-1)S^2_3}{N-k}= \frac{(9*17.64)+(9*20.25)+(9*27.04)}{27}= \frac{584.37}{27}= 21.643[/tex]
Finally you calculate the statistic:
[tex]F_{H_0}= \frac{MS_{Tr}}{MS_{Er}}= \frac{0.27}{21.643}= 0.012[/tex]
This test is One-tailed right, meaning that you'll reject to high values of the statistic and there is one critical value:
[tex]F_{k-1;N-k;1-\alpha }= F_{2;27;0.95}= 3.35[/tex]
Using the critical value approach, the decision rule is:
If [tex]F_{H_0}[/tex] ≥ 3.35, reject the null hypothesis.
If [tex]F_{H_0}[/tex] < 3.35, do not reject the null hypothesis.
The calculated value is less than the critical value, the decision is to not reject the null hypothesis.
So at a 5% significance level, there is not enough evidence to conclude that the treatments influence significantly in weight loss. The population mean weight loss is the same for the treatments "Single long exercise period five days per week", "Several 10' exercise periods five days per week" and "Several 10' exercise periods five days per week using a home treadmill"
I hope this helps!
Related Questions
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Three hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%.
Calculate the following values:
The predictive value of a positive test
The predictive value of a negative test
Answers
Answer:
predictive value of a positive test = 18.18%
predictive value of a negative test = 94.03%
Step-by-step explanation:
Sensitivity = 60% = 0.6
Specificity = 70% = 0.7
Let True Positive = TP
True Negative = TN
False Negative = FN
[tex]Sensitivity = \frac{TP}{TP + FN} \\0.6 = \frac{TP}{TP + FN} \\0.6TP + 0.6FN = TP\\0.4TP = 0.6FN\\TP = 1.5 FN[/tex]
[tex]Specificity = \frac{TN}{TN + FP} \\0.7 = \frac{TN}{TN + FP} \\0.7TN + 0.7FP = TN\\0.7FP = 0.3 TN\\TN = 7/3 FP[/tex]
Prevalence = 10% = 0.1
Three hundred people are screened, [tex]T_{total} = 300[/tex]
Total number of people having the disease, [tex]T_{disease} = ?[/tex]
[tex]Prevalence = \frac{T_{disease} }{T_{total} } \\0.1 = \frac{T_{disease} }{300 }\\T_{disease} = 30[/tex]
[tex]T_{disease} = TP + FN\\30 = TP + FN[/tex]
But TP = 1.5 FN
30 = 1.5 FN + FN
30 = 2.5 FN
FN = 30/2.5
FN = 12
TP = 1.5 FN = 1.5 * 12
TP = 18
[tex]FP + TN = T_{total} - T_{disease} \\FP + TN = 300 - 30\\FP + TN = 270\\FP + \frac{7}{3} FP = 270\\\frac{10}{3} FP = 270\\FP = 27 * 3\\FP = 81[/tex]
81 + TN = 270
TN = 189
To calculate the Predictive value of positive test (PPT)
[tex]PPT = \frac{TP}{TP + FP} * 100\\PPT = \frac{18}{18+81} * 100\\PPT = \frac{18}{99} * 100\\PPT = 18.18 \%[/tex]
To calculate the Predictive value of negative test (PNT)
[tex]PPT = \frac{TN}{FN + TN} * 100\\PPT = \frac{189}{189+12} * 100\\PPT = \frac{189}{201} * 100\\PPT = 94.03 \%[/tex]
A spacecraft travels at a speed of 5 x 10^4 miles per day. How long will it travel in 1.5 x 10^2 days?
Answers
Answer:
[tex]7.5 \times 10^6[/tex] miles
Step-by-step explanation:
[tex](5\times 10^4)\times (1.5 \times 10^2)=\\(5\times 1.5) \times (10^4 \times 10^2)=\\7.5 \times 10^6[/tex]
Hope this helps!
What is the circumference of the circle? Use 3.14 for Pi. A circle with radius 6.4 centimeters.
Answers
Answer:
C≈40.21cm
Step-by-step explanation:
Answer:
40.192
Step-by-step explanation:
the radius is half of the diameter so the diameter is 12.8 now 12.8 times pi / 3.14
The National Transportation Safety Board publishes statistics on the number of automobile crashes that people in various age groups have. A researcher claims the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%. Her study examined 1000 young drivers ages 18 – 24 and found that 134 had an accident this year. Test at α = .05. a) State H0 and Ha b) Find the critical value, show work c) Find the appropriate test statistic, show work d) Do a P - value test e) Make a decision to reject or fail to reject the null hypothesis and interpret the results.
Answers
Answer:
a) Null hypothesis:[tex]p\leq 0.12[/tex]
Alternative hypothesis:[tex]p > 0.12[/tex]
b) [tex] z_{\alpha}=1.64[/tex]
c) [tex]z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362[/tex]
d) [tex]p_v =P(z>1.362)=0.0866[/tex]
e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12
Step-by-step explanation:
Information given
n=1000 represent the random sample selected
X=134 represent the number of young drivers ages 18 – 24 that had an accident
[tex]\hat p=\frac{134}{1000}=0.134[/tex] estimated proportion of young drivers ages 18 – 24 that had an accident
[tex]p_o=0.12[/tex] is the value that we want to verify
[tex]\alpha=0.05[/tex] represent the significance level
Confidence=95% or 0.95
z would represent the statistic
[tex]p_v{/tex} represent the p value
Part a
We want to verify if the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%:
Null hypothesis:[tex]p\leq 0.12[/tex]
Alternative hypothesis:[tex]p > 0.12[/tex]
The statistic would be given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Part b
For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:
[tex] z_{\alpha}=1.64[/tex]
Part c
For this case the statistic would be given by:
[tex]z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362[/tex]
Part d
The p value can be calculated with the following probability:
[tex]p_v =P(z>1.362)=0.0866[/tex]
Part e
For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12
For a function p(x), as — then p(x) — 4. Which of the following graphs
could be p(x)?
Answers
The Community College Survey of Student Engagement reports that 46% of the students surveyed rarely or never use peer or other tutoring resources. Suppose that in reality 40% of community college students never use tutoring services available at their college. In a simulation, we select random samples from a population in which 40% do not use tutoring. For each sample, we calculate the proportion who do not use tutoring. If we randomly sample 100 students from this population, the standard error is approximately 5%. Would it be unusual to see 46% who do not use tutoring in a random sample of 100 students?a) Yes, this would be unusual because 46% is more than one standard error from the mean. It is very rare for a sample to be more than one standard error from mean. b) Yes, this would be unusual because 46% is 6% higher than 40%. c) No, this would not be unusual because the error is only 6%. d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.
Answers
Answer:
d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the z-score is higher than 2 or lower than -2, X is unusual.
In this question:
Mean = 40%. So [tex]\mu = 0.4[/tex]
Standard error = 5%. So [tex]\sigma = 0.05[/tex]
Is 46% unusual?
We have to find Z when X = 0.46. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.46 - 0.4}{0.05}[/tex]
[tex]Z = 1.2[/tex]
1.2 is lower than 2, that is, it is only 1.2 standard deviations from the mean. So 46% is not unusual.
So the correct answer is:
d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.
There were 128 participants in an online Fortnite tournament. The table below shows the number of people that were left in the tournament after each round. After each round the # decreases. Round 1=64,2=32,3=16,4=8. Determine how many more rounds until there’s a winner & explain
Answers
Answer:
7 rounds
Step-by-step explanation:
After the 5th round, 8 divide by 2 equals 4. After the 6th round, 4 divided by 2 equals 2. After the 7th round, 2 divided by 2 equals 1 determining a winner. After every round, the number of people is decreased by dividing by 2.
Hope this helps!!! PLZ MARK BRAINLIEST!!! GG’s
How many units is the perimeter of a rectangle with vertices located at (–2,2), (–2,–2), (4,–2), and (4,2
Answers
Answer:
20
Step-by-step explanation:
The perimeter is the sum of the side lengths:
4 + 6 + 4 + 6 = 20 . . . . units
Find the equation for the line that passes through the point
(−3,−1) and that is parallel to the line with the equation
y=1/2x-3
Answers
Answer:
work is shown and pictured
video games six hours every weekend. he also plays 2 hours each day of the week. how many hours does mr.danie spend playing video games over 3 weeks
Answers
Answer:66 hours of video games in three weeks!
Step-by-step explanation:First you would multiply 6 by 2 because the weekend refers to Saturday and Sunday which are two days,when you multiply 6 by 2 you get 12.Next you would multiply 2 by 5 because the problem says 2 hours each day of the week,when you multiply 2 by 5 you get 10.Then you add 10 and 12 which gets you to 22.Last but not least you multiply 22 by 3 because the question says how many hours does mr.danie spend playing video games over 3 weeks,which bring you to 66!
I hope I helped!
ANYONE PLZZZ THIS IS DUE IN AN HOUR. Will mark the brainliest
Answers
Answer:
0.96 in^3
Step-by-step explanation:
Are those the only three choices? Anyway, I hope this helps
heeeeeeeeeeeelllllllllllllpppppppp
Answers
19 is the median of the numbers
It is reported that dog bites are somewhat common among tourists who visit Thailand due to the stray dog population. One study showed that 13 out of 1000 tourists get bit by a dog. On average, the percentage of tourists who have been bit by a dog that get rabies is around 15%. Ninety-nine percent of tourists who do not get bit by a dog will not get rabies.
1. Define the two events in this problem.
A=
B=
2. Using proper probability notation, identify the following values:
a. 0.013 =
b. 0.15 =
c. 0.99 =
3. Create and upload an image of a hypothetical two-way table for this scenario.
4. Create and upload an image of a tree diagram for this scenario.
5. Using either your table or tree, calculate the probability that a randomly selected tourist will end up getting rabies. Upload a picture of your work and place your final answer (rounded to three decimal places) in the blank provided. Include proper probability notation in the work that you upload.
6. Using either your table or tree, calculate the probability that a tourist who does not get rabies then gets bit by a dog. Upload a picture of your work and place your final answer (rounded to three decimal places) in the blank provided. Include proper probability notation in the work that you upload.
Answers
Answer:
Step-by-step explanation:
Hello!
Tourists that visit Thailand are exposed to being bitten by a stray dog.
People that get bitten by a stray dog are at risk of getting rabies.
1) So you can determine two possible events that may happen:
A: The tourist got bitten by a stray dog.
B: The tourist got rabies.
2)
a.
"13 out of 1000 tourists get bit by a dog"
P(A)= 0.013
b.
"The percentage of tourists who have been bitten by a dog that get rabies is 15%" i.e. Given that the tourist was bitten by a dog, he got rabies. This is a conditional probability, is the probability of "B" given that "A" has already happened:
P(B|A)= 0.15
c.
"Ninety-nine percent of tourists who do not get bit by a dog will not get rabies."
The event "The tourist did not get bitten by a dog" is complementary to "A", so I'll symbolize it as: [tex]A^c[/tex]
The event "The tourist did not get rabies" is complementary to the event "B", so I'll symbolize it as [tex]B^c[/tex]
[tex]P(B^c|A^c)= 0.99[/tex]
3) See attachment for table
P(A)= 0.013 ⇒ P([tex]A^c[/tex])= 1 - 0.013= 0.987
P(A∩B)= P(B|A)*P(A)= 0.15*0.013= 0.00195 = 0.002
P(A∩[tex]B^c[/tex])= P(A) - P(A∩B)= 0.013-0.00195= 0.01105 = 0.011
[tex]P(B^c|A^c)= 0.99[/tex]
P([tex]B^c[/tex]∩[tex]A^c[/tex])= P([tex]A^c[/tex]) * [tex]P(B^c|A^c)[/tex]= 0.987*0.99= 0.977
P([tex]B^c[/tex])= P(A∩[tex]B^c[/tex]) + P([tex]B^c[/tex]∩[tex]A^c[/tex])= 0.011 + 0.977= 0.988
P(B∩[tex]A^c[/tex])= P([tex]A^c[/tex]) - P([tex]B^c[/tex]∩[tex]A^c[/tex])= 0.987 - 0.977= 0.01
5) P(B)= P(A∩B) + P(B∩[tex]A^c[/tex])= 0.002 + 0.01= 0.012
4) Attch
6)
P(A|[tex]B^c[/tex])= P(A∩[tex]B^c[/tex]) = 0.011 = 0.0111
P([tex]B^c[/tex]) 0.988
I hope this helps!
Determin The Constant of proportionality
l varies derectly as h; when l = 112,h = -16
Answers
Answer:
-7
Step-by-step explanation:
l = kh . . . . . l is proportional to h with proportionality constant k
112 = k·(-16) . . . . . . use the given numbers
k = -112/16 = -7 . . . divide by the coefficient of k
The constant of proportionality is -7.
A school survey asked students which candidate they supported for class president. The survey data are shown in the relative frequency table. What percentage of females polled supported Wilson?
Answers
Answer:
D about 44%
Step-by-step explanation:
just took the tests
Using the percentage concept and the given table, it is found that about 39% of males supported Wilson.
What is a percentage?
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P=\frac{a}{b}\times 100%[/tex]
In this problem, males are 46% of the sample, and 18% are males that supported Wilson,
[tex]P=\frac{18}{46} \times 100=39[/tex]
About 39% of males supported Wilson.
To learn more about the percentage of visit:
https://brainly.com/question/24304697
#SPJ2
What is the product of 4xy and y^2+2x
Answers
Look at the attached picture
Hope it will help you
Good luck on your assignment
Subtract and write in standard form
(8x – 6x3 + 5x2) - (2x2 + 2x - 7x3)
Answers
Answer:
x^3 +3x^2 +6x
Step-by-step explanation:
Eliminate parentheses using the distributive property. Collect terms. Standard form has the exponents decreasing.
= 8x -6x^3 +5x^2 -2x^2 -2x +7x^3
= x^3(-6 +7) +x^2(5 -2) +x(8 -2)
= x^3 +3x^2 +6x
What is the value of n
Answers
Answer:
B) n = 6
Step-by-step explanation:
4n + 12 = 8n - 12
Combine like terms
24 = 4n
n = 6
Answer: 6
Step-by-step explanation:
set 4n+12 and 8n-12 equal to each other and you should get 6
3 1/6 + 8 2/9 - 1 1/2 equals
Answers
Answer:
9.88888888889 or rather, 8 8/9
Step-by-step explanation:
59 people showed up to the party. There were 3 less men than women present. How many men were there?
Answers
Answer:
28 MEN
Step-by-step explanation:
X + X-3=59
2X-3=59
2X=62
X=31
MEN=31-3=28
x2 + y2 + 10x + 12y + 25 = 0
What is the center of this circle ?
What is the radius of this circle ?
units
Answers
Answer:
Center (- 5, - 6)
Radius 6 units
Step-by-step explanation:
x² + 10x + y² + 12y + 25 = 0
x² + 2*5*x + 5² + y² + 2*6*y + 6² - 5² - 6² + 25 = 0
(x + 5)² + (y + 6)² - 6² = 0
(x + 5)² + (y + 6)² = 6²
Center (- 5, - 6)
Radius 6 units
Round 1.8153001 * 10^4 to 6 significant figures
Answers
Answer:
1.81530×10⁴
Step-by-step explanation:
Keep the first 6 digits of the mantissa:
1.81530×10⁴
__
Here, the 7th digit is less than 5, so it and all to the right are dropped.
What is 841,487 rounded to the nearest ten thousand?
Answers
Answer:
840,000
Step-by-step explanation:
841,487 sice the ten thousands place is under the number five you round down to 840,000
840,000
that’s rounded
What’s the correct answer for this?
Answers
Answer:
the first one
Step-by-step explanation:
hope this helps
Answer:
A.
Step-by-step explanation:
The coordinates are used in the order of (x1,y1)and (x2,y2)
if 9 more than twice a number is 3 less than three times the same number, what is the number?
Answers
Answer:
the number is 12
Step-by-step explanation:
9+2x=3x-3
9+3=3x-2x
12=x
The required number is 12.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now it is given that,9 more than twice a number is 3 less than three times the same number.
Let the number be x.
So, 9 more than twice a number = 9 +2x
and, 3 less than three times the same number = 3x - 3
Hence we have,
9 + 2x = 3x - 3
Adding 3 both the side we get,
12 + 2x = 3x
Now substracting 2x both the side we get,
x = 12
Hence the number is 12.
More about linear equation :
https://brainly.com/question/16584198
#SPJ2
What's the answer please?
Answers
Answer:
1. 3
2. 2
3. 6
Step-by-step explanation:
1. 3 * 3 = 9
2. 5 - 2 = 3
3. 3 + 6 = 9
You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y
(in dollars) of money in the account after x
weeks.
Answers
Answer:
The answer is 9
Step-by-step explanation:
if u 170-125= 45 then u divide 5 into 45 and u get 9
what is the value of f(5) in the function below
f(x)=3x
Answers
Answer:
f(5) = 3*5
f(5) = 15
Answer: your answer is 243 :)
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, UV = 71 feet, and VW = 11 feet. Find the measure of ∠V to the nearest degree.
Answers
Answer:81
Step-by-step explanation:trust
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
Step-by-step explanation:
f(x) = x^2
reflect along the x-axis
g(x) = -x^2
expand vertilcally by a factor of 1/3
g(x) = (-1/3) x^2
move horizontally 4 units to the left
g(x) = (-1/3) (x+4)^2
hope this helps
Answer:
B. The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 4 units to the left.
Step-by-step explanation:
The [tex]\frac{-1}{3}[/tex] is less than one, making it stretch wider, and the (-) made it flip over the x-axis. The +4 in [tex](x+4)^2[/tex] made the function on the graph shift 4 units to the left.
This makes the correct answer be "B."