Using the t-distribution, it is found that:
a)
The null hypothesis is: [tex]H_0: \mu \geq 60[/tex]
The alternative hypothesis is: [tex]H_1: \mu < 60[/tex]
b) t = -1.47
c) 0.0878.
d) Do not reject the null hypothesis.
e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
Item a:
At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:
[tex]H_0: \mu \geq 60[/tex]
At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:
[tex]H_1: \mu < 60[/tex]
Item b:
We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:
[tex]\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}[/tex]
[tex]t = -1.47[/tex]
Item c:
The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.
Using a t-distribution calculator, this p-value is of 0.0878.Item d:
The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.
Item e:
Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
A similar problem is given at brainly.com/question/24826023
Nicole got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the
ribbon was 22 cents per yard. If after that purchase there was $17.52 left on the card, how many yards of ribbon did Nicole buy?
Answer:
34 yards of ribbon
Step-by-step explanation:
If you will subtract the $17.52 to $25 you will get 7.48 then 7.48 divide to .22 you will get 34 as the answer
identify the graph of the rational function with an x-intercept at (-4,0) and (4,0), a vertical asymptote at x=2, and an oblique asymptote at y=x+2
Answer:
(0,2), (1,3)
Step-by-step explanation:
Trigonometry I need help please
Answer:
10.7°
Step-by-step explanation:
SOH CAH TOA
Tan(BCA) = x/y
= 4/21
BCA= Tan`¹(4/21)
= 10.7856
to 3SF = 10.7°
What is the 18th term to the sequence 14,18,22
solve 4x-13=7x14 justify each step
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-13-(7*x^14)=0
Equation at the end of step 1
(4x - 13) - 7x14 =
Pulling out like terms
3.1 Pull out like factors :
-7x14 + 4x - 13 = -1 • (7x14 - 4x + 13)
Equation at the end of step
-7x14 + 4x - 13 = 0
Equations of order 5 or higher:
4.1 Solve -7x14+4x-13 = 0
snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the original price.
Step-by-step explanation:
60% of original price X = $180
60/100 × X = $180
60X/100= $180( cross multiply)
60X= 18000
X= 18000÷60
X= $300
Jade recorded how many characters she used in each of her 9 most recent text messages. Here's a
histogram showing her data:
# of messages
2
0
0
20
40
60
80
100 120
# of characters
Which interval contains the median number of characters?
The median of a histogram is the middle element of the histogram.
The interval contains the median number of characters is 20 - 30
The number of characters is given as:
[tex]n = 9[/tex]
The median position is then calculated as:
[tex]Median = \frac{n + 1}{2}th[/tex]
So, we have:
[tex]Median = \frac{9 + 1}{2}th[/tex]
Add 9 and 1
[tex]Median = \frac{10}{2}th[/tex]
Divide 10 by 2
[tex]Median = 5th[/tex]
So, the median is the 5th position.
From the histogram (see attachment), the 5th element is in the interval 20 to 30.
Hence, the interval contains the median number of characters is 20 - 30
Read more about median at:
https://brainly.com/question/9298915
Find m
∠
F
E
D
∠FED. This question is going to be 20 points
Answer:
the answer is : 180° - (61° +61°) = 58°
Help pleaseee????????
it will be equal to the photo
median 5
lowerAline that includes the point 5. 10) has a siope of 1. What is its equation in siope-intercept
te your answer using integers, proper fractions, and improper fractions in simplest for
Step-by-step explanation:
a lot of typos in the problem description.
if I understand correctly, the line contains the point (5, 10) and has a slope of 1.
and we need to give the line equation in slope-intercept form.
that means it has to look like
y = ax + b
a is the slope and b is the y-intercept (hence the name of the form).
we know a = 1.
we can use use the point-slope form to start and then transform it into the slope-intercept form.
point-slope means
y - y1 = a(x - x1)
a is again the slope, and (x1, y1) is a point on the line.
so,
y - 10 = 1(x - 5) = x - 5
now we transform it (adding 10 on both sides)
y = x + 5
and that's it.
What is the product of 3.45 x
(1.93 x 10^4)
Answer:
66,585
Step-by-step explanation:
First, solve 10^4, which is 10,000. Then, do 1.93x10,000 and get 19300. Finally, multiply 19300 by 3.45 to get 66,585.
Always use pemdas and hope this helped!
3. West Fremont is a community consisting of 3,000 homes. A small coal-burning power plant currently supplies electricity for the town. The capacity of the power plant is 12 megawatts
(MW) and the average household consumes 8,000 kilowatt hours (kWh) of electrical energy each year. The price paid to the electric utility by West Fremont residents for this energy is $0.10 per kWh. The town leaders are considering a plan, the West Fremont Wind Project (WFWP), to generate their own electricity using 10 wind turbines that would be located on the wooded ridges surrounds the town. Each wind turbine would have a capacity of 1.2 MW and each would cost the town $3 million to purchase, finance, and operate for 25 years.
(a) Assuming that the existing power plant can operate at full capacity for 8,000 hrs/yr, how many kWh of electricity can be produced by the plant in a year?
(b) At the current rate of electrical energy use per household, how many kWh of electrical energy does the community consume in one year?
(c) Assuming that the electrical energy needs of the community do not change during the 25-year lifetime of the wind turbines, what would be the cost to the community of the electricity supplied by the WFEP over 25 years? Express your answer in dollars/kWh.
Power is the rate of doing work, and the power of the generating plant or
turbine and the duration of generation, gives the energy generated.
The correct responses are;
(a) 96 × 10⁶ kWh(b) 24 × 10⁶ kWh(c) 0.05 dollars/kWhReasons:
Number of homes in the town = 3,000 homes
The given capacity of the power plant = 12 MW = 12,000 kW
Power consumed by a household = 8,000 kWh per year
The price for electrical energy = $0.10 per kWh
Number of wind turbines = 10
WFWP = The West Fremont Wind Project
Capacity of each wind turbine = 1.2 MW
Cost of each wind turbine for 25 years = $3 million
(a) Number of hours of operation of the power plant = 8,000 hrs/yr
Required:
The amount of kWh of electricity produced in a year by the plant.
Solution:
The energy produced = Power × Time
∴ The energy produced = 12,000 kW × 8000 hr = 96,000,000 kWh
Therefore;
The energy produced by the plant in a year, E = 96 × 10⁶ kWh
(b) Energy consumed = Energy consumed per home × Number of homes
Therefore;
Energy consumed = 8,000 kWh/home × 3,000 homes = 24,000,000 kWh
The energy the community consumes in one year = 24 × 10⁶ kWh
(c) The cost per kWh = $0.10
The cost, C, of the energy per year is therefore
C = 24,000,000 kWh × $0.10/kWh = $2,400,000
The cost for 25 years = 25 × C = 25 × $2,400,000 = $60,000,000
The number of wind turbines = 10
Cost per wind turbine = $3 million
Total cost to operate the 10 wind turbine = $3 million × 10 = $30 million
Energy consumed = 24,000,000 kWh
Therefore;
24,000,000 kWh × 25 = $30 million
[tex]\displaystyle 1 \ kWh = \frac{\$ 30 \ million}{25 \times 24,000,000 \ kWh} = \mathbf{\$0.05/kWh}[/tex]
The cost to the community of the electricity supplied by WFWP over 25 years is $0.05/kWh.
Learn more about energy and power here:
https://brainly.com/question/24592300
the length of a door is 1.8 feet longer than it's width, and it's front area is 1504.6 square feet. find the width and height of the door
Answer:
width: 37.9 ft
height: 39.7 ft
Step-by-step explanation:
Sometimes it is easier to work these problems by finding the average of the length and width. If that value is x, then the length is x+0.9, and the width is x-0.9. The area is ...
A = LW
1504.6 = (x +0.9)(x -0.9) = x^2 -0.81
1505.41 = x^2
x = √1505.41 ≈ 38.7996
width = x -0.9 = 38.8 -0.9 = 37.9
height = 38.8 +0.9 = 39.7
The width of the door is approximately 37.9 ft; the height is about 39.7 ft.
here are vaccinations for all of the following except __________
Question 10 options:
hepatitis C.
chicken pox.
tuberculosis.
mumps.
Answer:
Hepatitis C.
Step-by-step explanation:
how do i get more points? and why do i need it?
Answer:
You get more points by answering people's questions. You use points to get help from other people.
Answer: Answer people's questions to get points and use those points to get an answer to your question.
Given the formula A= P(1+r/n)nt you are investing $2,150 in savings account with an
interest rate of 3.315% compounded monthly. How much will you investment be worth after 15 years?
Answer:
3532.59341
Step-by-step explanation:
P= 2150
r= 3.315%
n= 12
t= 15
2^8 - (4+6)
can you please give me the answer
Simplify
−
2
x
×
3
x
×
−
x
Answer: 6x^3
Step-by-step explanation:
Find m
∠
U
W
V
∠UWV.
discount off each purchase. Calculate the amount of discount off each item (2 points)
17% off a $35 dresser
12% off a $32 dresser
12% off a $22 mirror
20% off a $55 bookshelf
Answer:
17% off a $35 dresser
Step-by-step explanation:
-6x+6y=9 (1/2,2) please helppppp
Answer:
Not a solution.
Step-by-step explanation:
[tex]-6x + 6y = - 9\\\rule{150}{0.5}\\-6(\frac{1}{2}) + 6(2) = -9\\\\-3 + 12 = -9\\\\9 =-9[/tex]
The final result is a contradiction. It is not a solution to the equation, and therefore, will not be on the line.
Millie has a bank account balance of $1200. Each week, her balance changes by
-$72.50.
She wants to keep the balance
above $620.
How many weeks will Millie's balance remain above $620?
Select from the drop-down menu to correctly complete the statement.
Answer:
at least 8
Step-by-step explanation:
Answer:
At least 8
Step-by-step explanation:
I took the test
3.
Mark is m years old. June is 6 years older that Mark. What is their total
age in 10 years' time?
Answer:
20m+60
Step-by-step explanation:
given,
mark=m
june=m+6(6 years older that mark)
so,
after 10 years,
10(m+(m+6)
=10(2m+6)
=20m+60
A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.
What is the area of the triangle formed by his path?
round to the nearest hundredth.
for Acellus!!!
Answer:
I think it's 28,700,000 feet
Step-by-step explanation:
Answer:
34,971.99
Step-by-step explanation:
I need Help Asapp
Please!!!!!!!!!!!!!!!!!!
Answer:
i know it is C last year i took that quiz and well i studied /j
Step-by-step explanation:
the product of two factors is 4200.if one of the factors is 60.what is the other factor?
Answer:
Other factor is 70
Step-by-step explanation:
Let,
Other factor = x
Then,
x × 60 = 4200
x = 4200/60
x = 420/6
x = 70
∴Another factor is 70.
Answer:
Solution given
let two factor be a and b.
if one factor a=60, then b=?
we have
product of factor=4200
a*b=4200
60*b=4200
b=[tex]\frac{4200}{60}=70[/tex]
Step-by-step explanation:
divide g by 9, then triple the result
Answer:
nose que dice no hablo inglesh :v
Pls HELPPPPPP!! the answer
help I suck at math..
Answer:
The correct answers are:
B
D and
F
Step-by-step explanation:
Hope it can help you lovelots
#LEARN WITH BRAINLY
what is 4 divided by 8
Answer:
0.4 or 2
Step-by-step explanati
that easy