Researchers wanted to know if people, on average, tend to underestimate the duration of a typical cold. Clinical literature reports that the actual duration of a typical cold is roughly 15 days. The researchers surveyed a random sample of 352 healthy adults and asked them how long they think that a typical cold lasts. The results of this survey were that the average time that the 352 people thought a cold lasts was two weeks (14 days) with a standard deviation of 0.5 days. So, according to this survey, do people tend to underestimate the duration of a cold (with statistical significance)?
Answers
Answer:
No, the survey doesn't support the researchers claim that people tend to underestimate the duration of a cold. .
Step-by-step explanation:
We are given;
Population mean; μ = 15
Sample mean; x¯ = 14
Standard deviation; s = 0.5
Sample size; n = 352
Null hypothesis; H0: μ = 15
Alternative hypothesis; Ha: μ < 15
Let's find the z-value;
z = (x¯ - μ)/(s/√n)
z = (14 - 15)/(0.5/√352)
z = -1/0.02665
z = -37.5
From online p-value from z-score calculator attached using z = -37.5; significance level of 0.05; one tailed hypothesis, we have;
p-value = 0.00001
But since we want to find out if they underestimate the duration of the cold then;
P(z > 0.00001) = 1 - 0.00001 = 0.99999
Which is approximately 1.
The p-value is greater than the significance level, therefore we fail to reject the null hypothesis and conclude that the survey doesn't support the researchers claim that people tend to underestimate the duration of a cold.
Related Questions
Find the area of the shaded figure below
Answers
Answer:
I think 40 units
Step-by-step explanation:
hope you have a wonderful day
please answer this it is 25 points
Answers
Answer:
18 stamps
Step-by-step explanation:
3/5(30) = 90/5 = 18
Answer:
18 stampsStep-by-step explanation:
The chart tells you Zack has 30 stamps in total.
3/5 are animal stamps.
So you do
30 x 3/5 = 90 / 5 = 18
OR
30 / 5 x 3 = 6 x 3 = 18
Hope that helps!
Can you please help me..
Answers
Answer:
7
Step-by-step explanation:
The answer is 7
Trust me :)
A scale model of a buliding is 18 inches tall. The actual building is 240 feet tall. What is the scale factor of the model? Write your answer as a fraction in simplest form.
Answers
Answer:
The scale factor of the model is 160.
Step-by-step explanation:
18 inches : 240 feet tall is also equal to
18 inches : 2880 inches
2880/18 = 160
I WILL GIVE SO MANY POINTS PLS HELP
Charlotte walks home from school every day at a rate of
4 miles per hour. It takes her 30-minutes to reach
home. Her brother, Noah, runs home from the same
school every day at a rate of 6 miles per hour. How
many fewer minutes does it take Noah than Charlotte
to reach home from school each day? Be sure to
SHOW your WORK!
Answers
i might be wrong but you have to do proportions, i got 45 minute
Step-by-step explanation:
set it,it up by 30 minutes over 4 miles and x over 6 miles then you multiply by 6 and 30 which is 180 then divide by 4 and i got 45
Answer:
10 fewer minutesStep-by-step explanation:
Use formula
distance = time* speedThe distance between home and school:
4* 30 min = 4 * 0.5 hr = 2 milesNoah's time to reach home:
2 / 6 = 1/3 hr = 1/3*60 min = 20 minDifference in time:
30 min - 20 min = 10 min7x + 2x^2 + 3x^2 - 2x
Answers
Answer:
Step-by-step explanation:
Explanations are below
Step 1
7x + 2x^2 + 3x^2 - 2x Observe the equation
Step 2
7x + 2x^2 + 3x^2 - 2x Combine the like terms
(2x^2+3x^2)+(7x+-2x)
Step 3
(2x^2+3x^2)+(7x+-2x) Simplify by adding and subtracting
Answer: 5x^2+5x
What is the greatest common factor of 138 and 345?
Answers
Answer:
Step-by-step explanation:
Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...
Why learn this.
Terms and topics. GCF calculator.
Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.
Answer:
69 I believe.
Step-by-step explanation:
Is (4, 2) a solution to the system y-x=2 and -3x-2y=-8?
Answers
Answer:
It is only a solution to y = x - 2, not -3x - 2y = -8
Step-by-step explanation:
I) Check y = x - 2:
y = x - 2
2 = 4 - 2
As you can see, (4, 2) is a solution to this system.
II) Check -3x - 2y = -8:
-3x - 2y = -8
(-3)(4) - (2)(2) = -8
-12 - 4 =/= 8
-12 - 4 = -16, not 8. So (4, 2) is not a solution to this system.
A company has two manufacturing plants with daily production levels of 5x + 17 items and 3x - 4 items, respectively. The first plant produces how many more items daily than the second plant? The first plant produces more items daily than the second plant. (Simplify your answer.)
Answers
Answer:
2x + 21
Step-by-step explanation:
Given :
Plant 1 : production level) 5x + 17
Plant 2 : production level = 3x - 4
To how much more plant 1 produces than plant 2 ; subtract production of plant 2 from plant 1
(5x + 17) - (3x - 4)
Open the bracket
5x + 17 - 3x + 4
5x - 3x + 17 + 4
2x + 21
Find the value of X.
Answers
Answer:
ummmmm if im not wrong 34
Step-by-step explanation:
the angles of A + B + C = 180
we can do 180 -75 - 67
This gets us 38°
charlie uses the expression 2x + 2x to represent the perimeter of a square. What does the variable x represent in this expression?
The area
The perimeter
The side lengths
The sum of 2 side lengths
Answers
Answer:
D The Sum of 2 Numbers
Step-by-step explanation:
2+2=4 > 24 > 24 + 24
Answer:
The side length
Step-by-step explanation:
What is the area of the figure below?
15 in 2
20 in 2
30 in 2
25 in 2
Answers
Answer:
25 [tex]in^{2}[/tex]
Step-by-step explanation: we can move the little triangle on the side to the missing part of the square and it says the length of the little triangle is 2 so we can do 2+3 since the height of the square with the missing side is 3. then we end up with the height being 5 and the base being 5. we know that A=bh so we can do A=5x5 and get 25 in squared
pls mark me branliest!!
Answer:
25ft2
Step-by-step explanation:
Uniform Distribution Notation Format Which of the following is the correct notation used for a uniform probability distribution where the smallest value of the random variable X is 9, and the largest value of the random variable X is 28. X - B{9, 28) X - U(28.9) You Answered U - X(9, 28) Correct Answer X - U(9,28)
Answers
Hence, determine the connection between the discriminant and the nature of the
roots of each equation in the table below:
Answers
When a normal six sided die is rolled what is the probability of getting a 7
Answers
Answer:
0% chance
Step-by-step explanation:
Answer:
0/6
You can't roll a 7 on a 6 sided die.
MUST HELP!!!! (50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROLFILE!!!!
Figure A’B’C’ is an __________________________of figure ABC.
*fill in the blank*
Answers
Answer:
similar shape!!!!
Step-by-step explanation:
Answer:
Dialation
Step-by-step explanation:
Dilation is an increase in size, but does not change the shape
A small college has 800 students
Answers
Answer:
ok
Step-by-step explanation:
5-(x-3)+4x simplify equation
Answers
Answer: 3x+8
Step-by-step explanation:
Answer:
3x+8
Step-by-step explanation:
5-(x-3)=4x
5-x+3+4x
3x+8
Cuantos megametros hay en ocho millones de metros ?
Answers
Answer:
1 megámetro = 1000000 metros
Step-by-step explanation:
PLEASE HELP THIS IS DUE SOON
A girl scout troupe baked a batch of cookies to sell at the annual bake sale. 1 point They made between 100 and 150 cookies. One fourth of the cookies were lemon crunch, and one fifth of the cookies were chocolate macadamia nut. What is the largest number of cookies the troop could have baked?
Answers
Answer:
150 cookies
Step-by-step explanation:
The girl scout troupe could have baked between 100 to 150 cookies. Therefore, the largest amount they could have baked is 150 cookies. The amount on how many lemon crunch and chocolate macadamia nut cookies they made doesn't matter here.
Hope this helps!
Mindy wants to cover a rectangular section of her back yard with gravel. The length of the section is 7 meters and the width of the section is 6.5 meters. A garden in the rectangular section of her back yard with an area of 25 square meters will not be covered with gravel. How much area will Mindy need to consider when purchasing the gravel?
Answers
Answer:
20.5 m^2
Step-by-step explanation:
entire back yard area = 7 x 6.5 = 45.5 m^2
45.5 - 25 = 20.5 m^2
HELP ASAP PLEASE
Which best describes parallel lines?
Otwo lines that are always equidistant
O two lines that curve to form a circle
O two lines that intersect at multiple points
O two lines that originate from the same point
Answers
_________________________
_________________________
are parallel lines
Which type of sequence is shown?
-2,0, 2, 4, 6, ...
Answers
Answer:
+2 or adding 2 each step
So it is a linear function
Step-by-step explanation:
-2 + 2 = 0
0 + 2 = 4
4 + 2 = 6
So forth..
Answer:
Arithmetic sequence.
Step-by-step explanation:
Which one shows a positive linear association?
Answers
Answer:
D
Step-by-step explanation:
I think that is the answer
What is the domain of the function above? I HATE GRAPHS pls help
tyyyy
Answers
Answer:
-1<x<4
BLUE
Step-by-step explanation:
Mary's puppy weighs 12.4 pounds. This 27.9 pounds less than the weight of her dog. Write a SUBTRACTION equation to help you figure out many pounds Mary's dog weigh. Let d represent the weight of Mary's dog.
Answers
Answer:
x-27.9=12.4
Step-by-step explanation:
Sasha ordered a kite online. When it arrived, the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite? Round to the nearest tenths if necessary.
Answers
Answer:
Approximately [tex]5.7[/tex] inches
Step-by-step explanation:
The crossbar and two given lengths form a right triangle. We know this because we see a right angle marked on the diagram in between the two given sides.
In this case, we have a right triangle with legs of [tex]4[/tex] and [tex]4[/tex], and we need to find the hypotenuse. By the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse), we get:
[tex]4^{2} +4^{2} =c^{2}[/tex]
[tex]16+16=c^{2}[/tex] (Evaluate exponents)
[tex]32=c^{2}[/tex] (Combine like terms)
[tex]\sqrt{32}=\sqrt{c^{2}}[/tex] (Take the square root of both sides of the equation to get rid of [tex]c[/tex]'s exponent)
[tex]c=4\sqrt{2} ,c=-4\sqrt{2}[/tex]
The latter solution is an extraneous solution because the side lengths of a triangle cannot be negative. Therefore, the answer is [tex]4\sqrt{2} \approx 5.7[/tex] inches. Hope this helps!
Prove the identity
secx-1/ tan x= tanx/ secx+1
To verify the identity, start with the left side and transform it to obtain the right side. Choose the correct step and transform the expression according to the step chosen.
secx-1/ tan x= sec-1 / tanx
Answers
Answer:
Proved
Step-by-step explanation:
The options are not given. So, I will solve from scratch
Given
[tex]\frac{secx-1}{tan x}= \frac{tanx}{secx+1}[/tex]
Required
Prove
Multiply the right-hand side by [tex]\frac{secx + 1}{secx + 1}[/tex]
[tex]\frac{secx-1}{tan x} * \frac{secx + 1}{secx + 1}= \frac{tanx}{secx+1}[/tex]
Apply difference of two squares on the numerator
[tex]\frac{sec^2 x - 1}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
In trigonometry:
[tex]tan^2x = sec^2x - 1[/tex]
So, we have:
[tex]\frac{tan^2 x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
[tex]\frac{tan x * tan x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
tan x cancels out
[tex]\frac{tan x}{secx + 1} =\frac{tanx}{secx+1}[/tex]
Proved
If you were to rotate ABCD 180° about the origin,
what would the coordinates of B' be?
(-1,3)
(0,0)
(-6, -5)
(-6, 2)
Answers
Answer:
both elements will be negative in rot.180°
Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to come will be 117 years. How old is Charity today?
Answers
Answer: Charity is 36 years old today.
Step-by-step explanation:
Let x = Present age of daughter.
Age of Charity = 4x
Age of her husband = 4x+6
After 10 years,
Age of daughter = x+10
Age of Charity = 4x+10
Age of her husband = 4x+6+10=4x+16
As per given,
[tex]x+10+4x+10+4x+16=117[/tex]
[tex]9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9[/tex]
Present age of Charity = 4(9)=36 years
Hence, Charity is 36 years old today.