Answer:
5000
Step-by-step explanation:
your friend claims that the average maximum amount of time people can hold their breath is less than 60 seconds. to check whether your friend's claim is true, you take a random sample of the maximum amount of time 10 people can hold their breath. 42 45 47 50 58 60 61 63 64 68 assume the population is approximately normal. perform a hypothesis test to determine whether the average maximum amount of time people can hold their breath is less than 60 seconds. use the alpha =0.05 level of significance.
a. state the null and alternate hypothesis
b. compute the value of the test statistic. round your intermediate calculations and final answer to at least three decimal places.
c. give the p-value
d. determine whether to reject the null hypothesis
e. state a conclusion in the context of the question (in the story of the problem)
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 for x: one over eight 1/8(8x + 15) = 24
Answer:
22[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
I hope this helps!!!
Problem #15: A box contains 4 black balls, 7 red balls, and 3 green balls. Three balls are
drawn (without replacement). Find the probability that the balls drawn are red, green,
and black in that order.
The probability that the balls drawn are red, green, and black in that order will be 3/78.
What will the probability be?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
The box contains 4 black balls, 7 red balls, and 3 green balls. The total number will be:
= 4 + 7 + 3
= 14 balls.
The probability that the balls drawn are red, green, and black in that order will be:
= P(red) × P(green) × P(black)
= 7/14 × 3/13 × 4/12
= 1/2 × 3/13 × 1/3
= 3/78
The probability is 3/78.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
4+2g+5g=-66
help me
plsss
pls
a farmer is creating a budget for planting soybeans and whet. planting soybessns cost $200 an acre and planting wheat cost $500 per acre. he wants to spend no more than $100000 planting soybeans and wheat.
Hello could I please get a straightforward answer I need to catch up pelsse
Answer:
Step-by-step explanation:
The second step to dividing 3 into 1/2
Answer:
Change the sign
Step-by-step explanation:
Asumming you are talking about the keep change flip method for dividing fraction, you would 1) keep 3/1, 2) flip the / symbol into * and 3) flip the 2nd fraction
Which of the equations will be a true statement if p = 10 3 ? Select the two choices that apply.
A. 3.4 ÷ p = 0.034
B. 437 ÷ p = 0.437
C. 53.45 ÷ p = 53.45
D. 6,340 ÷ p = 6.34
E. 2,458.2 ÷ p = 24.582
Answer:A
Step-by-step explanation: make me brainlist if correct
How do you solve this?
2x + 16y = -8
x + 8y = 7
The answer’s choices are no solution or infinite solution. please help.
Answer:
NO SOLUTION
Step-by-step explanation:
By the give me brainlist please
A scuba diver descends farther down into the ocean from an initial depth of 12.8 feet below sea level. The scuba diver descends at a constant rate for 312 minutes and reaches a depth no more than 49.2 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r≥10.4
r≤10.4
r≥13 7/9
r≤13 7/9
Answer:
[tex]r \geqslant 10.4[/tex]
The maximum rate at which the diver will descend will be 7 feet per hour.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
Initial depth of scuba diver = 12.8 feet
Let's say the rate of a scuba diver is "r".
Initial depth + depth cover with constant rate ≤ final depth
12.8 + (312/60)r ≤ 49.2
r ≤ 7
Thus, the maximum rate at which a diver can descend is 7 feet per hour.
Hence"The maximum rate at which the diver will descend will be 7 feet per hour".
To learn more about the rate of change here,
brainly.com/question/12786410
#SPJ2
what is the value of x
Answer:
[tex]x=21[/tex]
Step-by-step explanation:
First of all, the two blue angles (i painted on the image) are congruent since opposed to the vertex.
At this point the red angle is a right angle while the green one is 180°. At this point it's a simple system of linear equations:
[tex]\left \{ {{3x+7+y=90} \atop {5y+10+3x+7=180}} \right. \\\left \{ {{3x+y=83} \atop {3x+5y=163}} \right. \\\\15x+5y-3x-5y=415-163 \rightarrow 12x=252 \rightarrow x=21[/tex]
PLEASE HELP ME, ILL GIVE YOU BRAINLIEST
Answer:
3/2^3=3/8 and (-1/4)^2 = 1/16
Step-by-step explanation:
1. You know what 2^3 is, right? That's 2*2*2. 2*2 is 4, and then 4*2 is 8. So that is 3/8.
2. (-1/4)^2 is (-1/4)*(-1/4), right? So that is (-1*-1)/(4*4). Two negatives make a positive, so -1*-1=1. 4*4 is 16, so we have 1/16.
Henry and Jose are gaining weight for football. Henry weighs 205 pounds and is gaining 2 pounds per week Jose weighs 195 pounds and is gaining 3 pounds per week.
Write an equation to represent when the weights will be the same. Let w represent the number of weeks.
what would be the equation?
Answer:
205+2w=195+3w
Step-by-step explanation:
:)
The equation to represent when the weights are the same will be 3w + 195 = 2w + 205 and the number of weeks is 10.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Henry and Jose are putting on weight for football. Henry weighs 205 pounds and is acquiring 2 pounds each week Jose weighs 195 pounds and is acquiring 3 pounds each week.
Let 'w' be the number of weeks and 'y' be the total weight. Then the equations are given as,
y = 2w + 205
y = 3w + 195
If the weight becomes the same. Then the number of weeks is given as,
3w + 195 = 2w + 205
Simplify the equation, then we have
3w + 195 = 2w + 205
3w - 2w = 205 - 195
w = 10
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
(a) The area of a rectangular parking lot is 7050 m².
If the length of the parking lot is 94 m, what is its width?
(b) The perimetel of a rectangular pool is 356 m.
If the width of the pool is 82 m, what is its length?
Length of the pool: Im
Answer:
75 m, 96 m
Step-by-step explanation:
a. Area = length x width
7050 = 94 x width
7050/94 = w
75 m is width
b. perimeter = 2L + 2W
356 = 2L + 2(82)
356 = 2L + 164
192 = 2L
96 m = L
Hope everyone has a happy holiday for whatever you celebrate :)
Answer:
Happy holidays to everyone!
Step-by-step explanation:
how can you isolate the term f/3
7362*637 help please
Answer:
4689594
Step-by-step explanation:
Hello, good night, can someone help me?
Answer:
b
Step-by-step explanation:
pls mark me as brainliest pls
Work out the highest common factor (HCF) of 180 and 240
If I am correct, I believe that it is 60
A candy store has 6 boxes of chocolates. Each box has 500 pieces How many pieces are there altogether in the 6 boxes?
A Jeep Grand Cherokee costs about $45,000 right now. What would be the monthly payment if you could get a 60 month loan at 7.5% APR? Can you afford this?
The monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
First, we need to get the amount on the cost of the Jeep at the rate of 7.5% using the formula
Amount = Principal + Interest
Given the following parameters
Interest = PRTR is the rate = 7.5%T is the time in years = 5 yearsGet the interest
Interest = 45,000 * 0.075 * 5 Interest = $16,875Get the amount;
Amount = $45,000 + $16,875Amount = $61,875Calculate the monthly payment:
Monthly payment = Amount/60Monthly payment = $61,875/60Monthly payment = $1,031.25Hence the monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
Learn more on compound amount here: https://brainly.com/question/24924853
Need answer for the question please
Answer:
-7/4
Step-by-step explanation:
The slope for line A is 4/7 and you find the perpendicular slope by finding the reciprocal so you would get 7/4 then you multiply that by -1. The end result would be -7/4.
Answer:
— 7/4
Step-by-step explanation:
1) Find the slope of line A:
m=∆y/∆x
=(4—0)/(0+7)
= 4/7
2) When a line is perpendicular to another we have: mm' = — 1
(m' stands for slope of second line)
In this case m' is: m' = — 7/4
HELLO?? WHY ISNT ANYONE HELPING ME!!?!?!? HELP ME
Evaluate.
{3+[−5(2−4)÷2]}⋅3
−27
−13
18
24
2-4 is -2 and -5 times -2 is 10 divided by 2 is 5 and 5 +3 is 8. and 8 times 3 is 24. PEMDAS
Answer:
→24
Step-by-step explanation:
Evaluate: {3+[−5(2−4)÷2]}⋅3
= {3+[-5(2-4)÷2]}.3
= {3+[-5(-2)÷2]}.3
= {3+[10÷2]}.3
= {3+[10÷2]}.3
= {3+[10÷2]}.3
= {3+[10/2]}.3
= {3+[5]}.3
= {3+5}.3
= 8.3
= 8*3
= 24 Ans.
Veronica made 960 cookies to sell. She wants to package the cookies in boxes of 16. Her goal is to make $630 from selling her cookies.
Answer: She should charge $10.50 for each box
Step-by-step explanation:
Total cookies = 960
Each box has 16 cookies
Her goal is $630
First, you want to find out how many boxes she made
960÷ 16 = 60
She made 60 boxes
Now you want to find the price for each box
630 ÷ 60 = 10.5
She should charge $10.50 for each box
I hope this helps!!!
LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)
Answer:
See below
Step-by-step explanation:
Dilation is 1/2
U (2, 3) U' (1, 1.5)
V (1, -2) V' (0.5, -1)
(I WILL GIVE BRAINLIEST) PLEASE HELP!!
Answer:
C. I,II,III
Step-by-step explanation:
Absolute value is the distance of a number from 0 on a number line. 6 is 6 units from 0, therefore this option is correct. -6 is 5 units to the left of 0, but it is still 6 units away, therefore this option is correct. 6 is 6 units away from 0, therefore, III is correct. But 0 is 0 units away from 0, therefore this option is incorrect.
Is the product of -5 and v121 rational or irrational
Answer:
Rational.
Step-by-step explanation:
-5 times √121
= -5 * 11
=-55
Rational.
Is this table proportional?
XY
4 8
5 10
6 12
10 20
Answer: Yes b/c everything gets multiplied by 2
Pauline wants to sell stainless steel water bottles as a school fundraiser.
She knows that she will maximize profits, and raise $1024, if she sells
the bottles for $28 each. She also knows that she will lose $4160 if she sells the bottles for only $10 each.
Write a quadratic relation to model her profit, P, in dollars, if she sells the bottles for x dollars each.
Answer:
P = -16(x -28)² +1024
Step-by-step explanation:
The equation can be written in vertex form as ...
P = -a(x -h)² +k
where (h, k) is the vertex, and 'a' is a scale factor. We are given the vertex (h, k) = (28, 1024) and another point (x, P) = (10, -4160). Using these points, we can find the value of 'a'.
-4160 = -a(10 -28)² +1024
-5184 = -324a . . . . simplilfy
a = 5184/324 = 16 . . . . divide by the coefficient of 'a'
A suitable quadratic relation is ...
P = -16(x -28)² +1024