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
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
Mr. Irwin Sold adult tickets
Answer:
i dont know how to do it231
Step-by-step explanation:
1123234
The value of x + x(2x) when x = 2 is: (a) 10, (b) 16, (c) 18, (d) 36, (e) 64
[tex]x+x(2x)=x+2x^2\\\\\text{when x =2}\\\\2+ 2(2)^2 = 2+ 2(4) = 2+ 8 = 10[/tex]
[tex]\text{So, the answer is (a).}[/tex]
Find two numbers whose sum 7500 and whose product is the maximum value.
(Round your answer to the nearest whole number.)
Blank = 1
Blank = 2
The two numbers whose sum is 7500 and whose product is a maximum value are 3750 and 3750.
Let the two numbers be x and y.
Since their sum equals 7500,
x + y = 7500 (1)
Their product f(x,y) = xy (2)
We desire to maximize the product.
From (1), x = 7500 - y
Substituting x into (2), we have
f(x,y) = xy
f(x,y) = (7500 - y)y
f(y) = 7500y - y²
To maximize the product, we find the value of y that maximizes f(y), we differentiate f(y) and equate it to zero.
So, df(y)/dy = d(7500y - y²)/dy
f'(y)/dy = d(7500y)/dy - dy²/dy
f'(y)/dy = 7500 - 2y
Equating it to zero, we have
7500 - 2y = 0
7500 = 2y
y = 7500/2
y = 3750
To determine if this gives a maximum for f(y), we differentiate f'(y) with respect to y.
So, f"(y) = d(7500 - 2y)dy
f"(y) = 0 - 2
f"(y) = -2 < 0.
So, y = 3750 gives a maximum for f(y) = f(x, y)
Since x = 7500 - y
Substituing y = 3750 into the equation, we have
x = 7500 - 3750
x = 3750
So, the two numbers whose sum is 7500 and whose product is a maximum product are 3750 and 3750.
Learn more about product of two numbers here:
https://brainly.com/question/15607519
If PQ =13 and PR = 18, what is QR?
Answer:
QR is equal to 5 since 13 is 5 less that 18. So since 13 was already taken, that leaves 5
The values in the five-number summary divide a data set into four quarters.
A. True
B. False
Answer:
The values in the five-number summary divide a data set into four quarters.
→ True
Mark me as brainlist plz :)
Answer:
the answer is TRUE
Step-by-step explanation:
What is 1.8 added 8 times? (IF YOU CAN PLS DO IT IN EXPLANATION) and this is about decimals and pls do it in grade five type, bc I won't be able to understand anything too big for me, example: (e^(4^(2)
Thank you
Answer:
14.4
Step-by-step explanation:
1.8 added 8 times = 1.8 * 8
1.8 * 8
use distributive property
1.8 = 1 + 0.8
1.8 * 8 = (1+0.8) * 8
= 1*8 + 0.8*8
anything multiplied by 1 equals itself
1*8 + 0.8*8 = 8 + 0.8 * 8
0.8 = 8/10
0.8 * 8 = (8/10) * 8
= 64/10
= 6.4
8 + 0.8 * 8 = 8 + 6.4 = 14.4 as our answer
Pls help with these questions!
Answer:
I don't know sorry
Beatrice watched two films at the theatre. The first she watched was 2 1/6 hours long and the second film was 1 5/6 hours long . Calculate the total length of the two films
Answer:
4 Hours
Step-by-step explanation:
2 1/6 = 13/6
1 5/6 = 11/6
13/6+11/6= 24/6
Simplify 24/6 which will give you 4
Whats the solution to this problem
9^3x-3=81x+2
how to solve this problem the answer is -555498
what is the anser to 9 + 7
[tex] \huge \green{ \boxed{ANSWER}}[/tex]
[tex]9 \: + \: 7 \: = \boxed{16}[/tex]
USE CALCULATOR...
[tex]#CARRYONLEARNING[/tex]
[tex] \mathfrak{JazmineChoi}[/tex]
STAN TREASURE
Elliot spent $16.15 on ground beef at a grocery store. He purchased 3 and 2 over 5 pounds of ground beef. What is the price per pound of the ground beef at that store?
We want to know how much is the price per pound (or unit rate) of ground beef, given that we know the price for Elliot's purchase. We will see that each pound costs $4.75
So we know that (3 + 2/5) lb of ground beef costs $16.15, the cost of a single pound will be given by the quotient between the total cost and the amount purchased, then we need to solve:
[tex]P =\frac{ \$ 16.15}{(3 + 2/5)lb}[/tex]
We can rewrite the denominator as:
(3 + 2/5)lb = (15/5 + 2/5)lb = (17/5) lb
Replacing that we get:
[tex]P =\frac{ \$ 16.15}{(17/5)lb} = \frac{ \$ 16.15*5}{17lb} = \$4.75 \ per \ lb[/tex]
So each pound of ground beef costs $4.75
If you want to learn more about unit rates, you can read:
https://brainly.com/question/2375289
-2 - 1 + 4 I need the help please
Answer:
it's 1
Step-by-step explanation:
hope this helps 1
There are some red and blue balls in a bag of 21 balls and the probability of picking 2 red balls out in a row is 1/14 how many red balls are there?
Answer:
6 red balls
Step-by-step explanation:
The probability in the first pick
6/21
The probability in the second pick (without replacement)
5/20
the requested probability
(6/21)(5/20) = 30/420
simplification
30/420 = 3/42 = 1/14
Hope this helps
Answer:
6 red balls.
Step-by-step explanation:
If there are x red balls then
probability of 2 red balls
= x/21 * (x - 1)/20 = 1/14
x^2 - x / 420 = 1/14
x^2 - x = 30
x^2 - x - 30 = 0
(x - 6)(x + 5) = 0
x = 6.
PLEASE I NEED FAST CLEAR ANSWERS
Answer:
A, B and C
Step-by-step explanation:
They all can mirror to overlap perfectly with the other side of the shape.
D and E can not
I hope this helps :)
Answer:
A C B
Step-by-step explanation:
those are the right answers i just did it hope it helps
(Quick Please) 8x - 4 < -36 solve the equality show your work
Answer is -4
Step-by-step explanation:
8x-4< -36
8x < -36+4 (move [- 4] to the other side to find x)
8x < -32
8x < -4
Answer:
x < -4
Step-by-step explanation:
8x - 4 < -36
+4 +4 (Add 4 on both sides)
8x < -32
/8 /8 (Divide by 8 on both sides)
x < -4
(d) Given that the fifth and the seventh terms of the G.P form the first two consecutive terms of an arithmetic sequence, calculate the sum of the first 20 terms of the sequence
Step-by-step explanation:
the answer is shown in the photo
One angle in a complementary pair of angles measures 3 times the other angle.
What is the measure, in degrees, of the
smaller angle?
Answer:
22.5 degrees
Step-by-step explanation:
Complementary angles add up to be 90 degrees. You can model the simple equation [tex]x+3x=90[/tex] where is x is the small angle and 3x is the large angle.
[tex]4x=90\\x=22.5[/tex]
the smaller angle is 22.5 degrees
Which function is shown in the graph?
Answer:
k(x)=-3/4x+5
Step-by-step explanation:
1. Find the volume of the rectangular prism that has a height of 5 meters and the area of the base is 8m2.
Answer:
40m3
Step-by-step explanation:
Multiply the area x the height
Step-by-step explanation:
the volume of a prism or simply "box" is base area × height.
so, we have
8 × 5 = 40 m³
The refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollar and cents?
Answer:
$31.53
31 dollars 53 cents
Step-by-step explanation:
6% is equal to 0.06.
0.06 * 525.50 = 31.53.
Hope this helps
help me solve thisss question
Find BC.
A
B
С
D
Ош
E
=
=
AD = 10.5
AB = 2
CE = 11.5
AE = 15
BC = [?]
=
=
Fnter
Answer:
1.5
Step-by-step explanation:
since the lone segment is 15 so add ab and ce and let bc be x
so 2+x+11.5=15
13.5 +x =15
x=1.5
Help help math math
Answer:
y = 1/2x + 3
Step-by-step explanation:
Y= mx+b is slope-intercept form, m is for slope, and b is for my y-intercept. Also remember the pitch is the rise over the run or the y-direction over the x-direction.
In our case, they highlight 2 points to calculate the slope; looking at the graph, we can see it rises one and runs two to get to the second highlighted point at (2,4). And my slope is rise over run, so here it 1/2.
My b or y-intercept is simply three because that is where the line passes over or intercepts the Y-axis
Answer: y = 1/2 x + 3
Step-by-step explanation:
Help help math math math math
Answer:
y= [tex]\frac{3}{2}[/tex]x -1
Step-by-step explanation:
To find slope I first found the two points on the graph which were (0, -1) and (2, 2). Then I used rise over run to find the slope the point went up 3 units and to the right two units.
then to find the y intercept I found a pint of the graph where the line had passed through the y-intercept line on the graph which just so happened to be -1.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Answer:
y = 3/2 - 1
Step-by-step explanation:
First let's take two coordinates in the line.
( 2 , 2 ) ( 0 , -1)
You can use y = m x + c to find the equation of the line.
Here,
m → slope
c → y - intercept
( 2 , 2 ) ( 0 , -1)
↑ ↑ ↑ ↑
( x1 , y1 ) ( x2 , y2 )
First let's find the slope of the line.
m = ( y1 - y2) / ( x1 - x2)
m = ( 2 - (-1) ) / (2 - 0 )
m = ( 2 + 1 ) / 2
m = 3 / 2
Now let's find the y - intercept of the line.
For that, let's use ( 0 , -1 ) coordinate
y = m x + c
y = 3/2 × 0 - 1
y = 0 - 1
y = ( - 1 )
Therefore, the equation of the line is,
y = 3/2x - 1
Hope this helps you :-)
Suppose there is a game where there are 5 identical boxes to choose from. One of these boxes has a
prize. Each time the game is played, the prize is randomly placed in one of the 5 boxes. If someone
were to play this game 4 times in a row, what is the probability this person will win the prize exactly 2
times?
Answer:
0.1536
Step-by-step explanation:
This is a binomial probability distribution with 2 successes in 4 trials.
The chance of a success is 1/5 = 0.2.
So there needs to be 2 successes and 2 failures in the 4 plays.
Reqd. Probability is 4C2*(0.2)^2(0.8)^2
= 0.1536.
find the answer
fast
Answer:
i) 5y
Ii) 5y-3
iii) 5y×6
Iv)
Hemp bell bell help math
Answer:
This is indeed a function!
Step-by-step explanation:
Write an equation but do not solve to show how many letters, L, it would take for these two trophies to cost the same amount.
Answer:
12 + 0.40L = 14.75 + 0.25L
The heights of adult men in America are normally distributed, with a mean of 69.1 inches and standard deviation of 2.65 inches. It is sometimes said that women don't like to dance with shorter men. To get a dancing partner, a 6-foot two-inch tall woman draws from a hat the name of an adult American male. What is the probability that he will be as tall as she?