The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768
Answers
Answer:
See below
Step-by-step explanation:
The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°
The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°
The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places
We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.
Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.
The null hypothesis is rejected since the p-value shows that it is unlikely to be true.
What is the hypothesis?In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.
As per the given question, the required solution would be as:
A) Hypothesis test :
The null and alternative hypothesis is
Hi : u = 98.6
Ha : u < 98.6
B) Test statistic is t = -3.831
C) sample size, n= 31
degree of freedom,
df = n -1 = 31 - 1 = 30
P-value = p(t < -3.831 )
= 0.0003 (from t table)
d) P-value < 0.10, reject the null hypothesis.
is, support
As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.
Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.
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Related Questions
Write a polynomial equation that has three real zeroes, and a y intercept of 250
Answers
Answer: Forget about imaginary roots.
Draw an x axis and a y-axis, at right angles.
Place a dot at y=250.
Place a dot at x=60 and place a dot at x=120.
Sketch a graph: in quadrant II, go left from the y-intercept of 250, downward and then curve upward before getting to the x-axis. You have created a local min in the 2nd quadrant.
In the first quadrant, curve smoothly fromthe y intercept down to 60 on the x axis, and continue toward the right and into the fourth quadrant, eventually curving upward and eventually crossing the x axis at 120. Continue upward indefinitely. You have created another local min, at about x=90.
The smooth polynomial curve will have a local max at(0,250).
Now y = a(x-60)(x-120)(x2+1) can represent this curve; it has two real zeros. Adjust "a" so that the y-intercept is 250.
Step-by-step explanation:
i hope this helps
Determine if the table represents a linear function, quadratic function, or exponential function.
Answers
Answer:
Quadratic
Step-by-step explanation:
Formula: ax^2+bx+c
What is considered an exponential monthly growth rate.
Answers
The Answer equals 1.9%
he directions for Grow Better fertilizer say that the 25-pound bag covers a 1,000-foot row of vegetables Which brand would Cala need more of to fertilize her vegetables? Explain
Answers
Using the principle of proportional relationship, the amount in pounds of Grow better Fertilizer exceeds the required amount of Feed all Fertilizer. Hence, more of Grow better Fertilizer would be needed.
Feed - All Fertilizer :
2 pounds = 100 foot row
x pounds = 450 foot row
Cross multiply
100x = 900
Divide both sides by 100
x = 900 / 100
x = 9 pounds
Grow better Fertilizer :
25 pounds = 1000 foot rows
x pounds = 450 foot rows
Cross multiply
1000x = 450 × 25
1000x = 11250
Divide both sides by 1000
x = 11250 / 1000
x = 11.25 pounds
Hence, Cala will need more of Grow better Fertilizer.
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Answers
Answer: 12, 15, 11, 28
Explanation:
14. FC is half of AC so the length of FC is 12.
15. BD is 30 and half of that is BC or 15. AB and BC have same length so it is also 15.
16. ED and BE have same length so it is also 11.
17. BD is twice of AB so if AB is 14, BD will be 28.
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15=15
16=11
17=28
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describe a set of data that has neither a positive nor a negative association , but does have a valid trend line
Answers
Answer:
Step-by-step explanation:
The points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
Given that, a set of data that has neither a positive nor a negative association, but does have a valid trend line.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
Therefore, the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
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Find m<1. Please help quick!
Answers
Answer:
17°
Step-by-step explanation:
Look everything you have above the horizontal line.
It's a 73° angle, plus the one you need, plus 90°. They add up to 180.
m+73+90=180, or m=17.
A particular plant root grows 3.5 inches per month.How many centimeters is the plant growing each month?
Answers
Answer:1 inch = 2.54 centimeters so the answer is 3.76
Step-by-step explanation:
(1 inch = 2.54 centimeters). 0.73 centimeters 1.38 centimeters 6.04 centimeters 8.89 centimeters unsubscribe · report · tue mathematics
Place these numbers in order from greatest to least. 19/5, 1.62, –14/3, –0.5
Answers
Answer:
See below:
Step-by-step explanation:
Hello my name is Galaxy and I'll be helping you today. I hope you are having a nice day!
Simplification
To figure out how we can order them, we can first simplify the problems so that we can easily determine its place. We can put the fractions into decimal form so that they are are in one form and will be easy for us to comprehend.
[tex]\frac{19}{5}=3\frac{4}{5}=3.80[/tex]
We know that [tex]\frac{1}{5}[/tex] is equal to 0.20 because we know that 1.00 will be equal to 100 in this case and we can divide that by five to get 20 which will be divided back to get to 0.20.
As I've explained how I've simplified the first one, simplifying the others should be a quite similar process, feel free to comment below if you need any assistance with this.
[tex]\frac{19}{5}=3.80\\1.62=1.62\\\frac{-14}{3}=-4.6667\\ -0.5=-0.5[/tex]
(Everything simplified to decimal form.)
We can now proceed to ordering them.
Ordering
Ordering decimals doesn't have to be as hard as it looks, we know that as per the number line a number that is more negative (e.g. -37) will be less than (e.g. -5) as it is closer to the number 0.
Now that we know how to order the negative numbers, we can order them into order, and for ordering the positive numbers, we should already know how to do that.
So, now, in order from Greatest to Least. We can order them by what I said above.
[tex]3.80>1.62>-0.5>-4.666[/tex]
We can convert the numbers back into their original form by looking at how we converted them in the Simplification section.
Final Answer
After converting them into a way that we can comprehend, we get our final answer in terms of greatest to least as:
[tex]\frac{19}{5}>1.62>-0.5>\frac{-14}{3}[/tex]
Cheers!
There is currently 9 inches of snow on the ground.
With the thunderstorms today the snow will melt at
a rate of 1.5 inches per hour.
1. Write an equation to represent this situation
2. What do the slave and y-intercept mean
3. After how many hours would all the snow be melted
4. Make a table of this situation to show when all the snow would be melted
Answers
Answer:cold weather pose, there are armies that have and can conduct large-scale, ... to one inch (2.5 centimeters) per hour accumulates.
Step-by-step explanation:
Answer:
1.5 × ? = 9
9÷1.5 = 6
so the answer would be 6 hours
Write the transformed equation for g(x)+4 calling it h(x)
Answers
Answer:
h(x) = (1/3)x + 6
Step-by-step explanation:
yeah-ya ....... right?
c) 2 x x 3 x y
Please help
Answers
would love it if someone helped with this question please...
Answers
Answer:
$40.00
Step-by-step explanation:
to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40
10/6= 1.666666666666667
Multiply 1.666666666666667 by 24 you get 40
John always wears a shirt, pants, socks, and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. How many different outfits can John make?
Answers
Answer:
900
Step-by-step explanation:
12 * 3 * 5 * 5 = 900
900
please this is half my grade!!!
Benjamin has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8 ft above the ground. What is the angle, rounded to the nearest tenth, that the ladder makes with the ground? Show your work
2. What is the length of side YZ to the nearest tenth? Show your work.
side XY is 11 feet, and angle Z is 35 degrees(this is a right triangle)
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Side AC is 14 feet, this is a right triangle, and angle A is 30 degrees
Answers
The special right triangle is the right triangle that have acute angle values
that simplify the process of finding its dimensions.
The correct values are;
1. The angle the ladder makes with the ground, is approximately 66.93°
2. The length of YZ is approximately 19.18 ft.
3. CB = 7 ft. and AB = 7·√3 ft.
Reasons:
1. The length of the ladder = 15 ft.
Height of the ladder above the ground, h = 13.8 ft.
Required:
The angle the ladder makes with the ground.
Solution:
The angle the ladder makes with the ground is given by the equation;
[tex]sin(\theta) = \dfrac{Length \ of \ the \ ladder}{Height\ of \ the \ ladder \ above the \ ground} = \dfrac{13.8}{15} = 0.92[/tex]
[tex]\theta = arcsin\left(0.92 \right) \approx 66.93^{\circ}[/tex]
2. The given parameters are;
XY = 11
∠Z = 35°
YZ = Required
In a right triangle, the side facing the acute angle is a leg of the triangle.
Therefore;
XY is the opposite side to ∠Z
[tex]sin(\angle Z) = \dfrac{XY}{YZ}[/tex]
Which gives;
[tex]sin(35^{\circ}) = \dfrac{11}{YZ}[/tex]
[tex]YZ= \dfrac{11}{sin(35^{\circ}) } \approx 19.18[/tex]
YZ ≈ 19.18 ft.
3. AC = 14 ft.
∠A = 30
Required:
The length of the other two sides
Solution:
Where by AC is the hypotenuse side, we have;
CB = AC × sin(∠A)
Therefore;
CB = 14 × sin(30°) = 7
CB = 7 ft.
AB = AC × cos(∠A) = 14 × cos(30°) = 7·√3
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1. The angle the ladder makes with the ground, is approximately 66.93°
2. The length of YZ is approximately 19.18 ft.
3. CB = 7 ft. and AB = 7·√3 ft.
The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?
Answers
Answer: $30,800
Step-by-step explanation: First you have to subtract 2026 - 2015, which is 11 years. Since it depreciates by 7% each year, you would multiply 7 by 11, which is 77. 77 is the percent of depreciation of the car. After that, you would divide 40000 by 100, which is 400. Then you multiply 400 by 77 to get you final answer.
Solve for r.
-70 +1 > 22
OR
102 +41 81
Answers
What is the domain of the relation?
Answers
Answer:
Domain: 3, 6, 8, 9, 7
Step-by-step explanation:
Domain: 3, 6, 8, 9, 7
(Domain, Range)
The domain of a function or relation is the set of all possible independent values the relation can take.
Hope this helps :)
Answer:
Domain: {3, 6, 8, 9, 7}
Step-by-step explanation:
A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:
Domain: {3, 6, 8, 9, 7}.
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can you help me out :)
Answers
Answer:
DC = 30.47 units
KL = 5.34 units
Step-by-step explanation:
Cos 54 * 20 = AD
Sin 54 = BD/20
Sin 54*20 = BD
BD = 0.809*20 = 16.2
Tang 28 = BD/DC
DC = BD/tang 28
DC = 16.2/0.5317
Tan 51 = JL/14
JL = 1.2349 * 14 = 17.29 units
Cos 72 = KL/JL
Cos 72 * 17.29 = KL
cos 72 = 0.309
KL = 0.309 * 17.29 = 5.34 units
You want to watch 3 DVD's from a selection of 10. How many possible combinations of DVD's do you have
Answers
Answer:
210÷2=105
Step-by-step explanation:
4x+8=3
help asap
step by step please
Answers
[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]
Answer:
x= -5/4
Step-by-step explanation:
4x+8=3
4x=3-8
4x=-5
x= -5/4
3x^2x4x^5 p please helppppppppppppppppppppppppppppppppppppp
Answers
Answer:
i think it is 120
Step-by-step explanation:
PLEASE HELP EMERGENCY what is the solution to the equation ^3 square root 2x+5 =5
Answers
Answer:
60
Step-by-step explanation:
[tex] \sqrt[3]{2x + 5} = 5 \\ (\sqrt[3]{2x + 5} = 5) ^{3} \\ 2x + 5 = 125 \\ 2x = 120 \\ x = 60[/tex]
Select the correct answer.
What is the vertex of the function f(x) = |x + 7| − 3?
Answers
Find 1 2··31 1 22 1··22. Show your work
Answers
1 = 1 = 1 < 2 < 22
1 is equal to 1 is equal to 1 is less than 2 is less than 22
1 = 1 =1 < 2 < 22 1 1 1 1 1 hope help mark brain.....?
Can you give me the answers for these four? It's passed due and I need to get it turned in ASAP! Please help!
Answers
2. -30r-17
3. n-10
4. 21n-12
Explanation: For the first problem, combine the terms with x. For the second problem, combine -17r and -13r, then combine -1 and -16. For the third problem, all you have to do is combine -9 and -1. For the fourth problem, combine 6n and 15n, and then combine 7 and -19. Hope this helps!
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Solve 39.2 ÷ 7 = ________.
5.2
5.3
5.5
5.6
Answers
Answer:
5.6
Step-by-step explanation:
Answer:
5.6
Step-by-step explanation:
I just take each answer and multiply it by 7 until the answer matches 39.2.
5.6 * 7 = 39.2
What is the degree of 6x5 - 4x2 + 2x2 – 3 + x?
O A. 6
O B. 2
C. 5
O D. 3
Answers
Answer:
5
Step-by-step explanation:
It is the greatest exponent.
Please help me on this math problem. I does not make any sense>
Answers
Answer: She did not create it correctly because we have two science students and six music students instead of three science students and five music students. I believe pie charts work well because they give a quick overview of the students.
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Can somebody show me how to do this with answers? I don’t understand how my teacher shows me
Answers
If you mean adding text above the underscore press the text button on the left and it will allow you to click above the underscore and add text as an answer to said problem.