Answer:
event A is dependent on event B since roll 3 will result if you select a face card
A sample of 200 observations from the first population indicated that X1 is 170. A sam- ple of 150 observations from the second population revealed X2 to be 110. Use the .05 significance level to test the hypothesis. a. State the decision rule. b. Compute the pooled proportion. c. Compute the value of the test statistic. d. What is your decision regarding the null hypothesis?
Answer:
a. If the P-value is smaller than the significance level, the null hypothesis is rejected.
b. Pooled proportion = 0.8
c. z = 2.7
d. As the P-value (0.0072) is smaller than the significance level (0.05), the null hypothesis is rejected.
There is enough evidence to support the claim that the proportions differ significantly.
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
We will use the P-value approach, so the decision rule is that if the P-value is lower than the significance level, the null hypothesis is rejected.
The claim is that the proportions differ significantly.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]
The significance level is 0.05.
The sample 1, of size n1=200 has a proportion of p1=0.85.
[tex]p_1=X_1/n_1=170/200=0.85[/tex]
The sample 2, of size n2=150 has a proportion of p2=0.7333.
[tex]p_2=X_2/n_2=110/150=0.7333[/tex]
The difference between proportions is (p1-p2)=0.1167.
[tex]p_d=p_1-p_2=0.85-0.7333=0.1167[/tex]
The pooled proportion, needed to calculate the standard error, is:
[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{170+110}{200+150}=\dfrac{280}{350}=0.8[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.8*0.2}{200}+\dfrac{0.8*0.2}{150}}\\\\\\s_{p1-p2}=\sqrt{0.0008+0.00107}=\sqrt{0.00187}=0.0432[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.1167-0}{0.0432}=\dfrac{0.1167}{0.0432}=2.7[/tex]
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
[tex]P-value=2\cdot P(z>2.7)=0.0072[/tex]
As the P-value (0.0072) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportions differ significantly.
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes. Based upon the above information and numerically justified, would you be surprised if it took less than one minute to find a parking space?
a. Yes
b. No
c. Unable to determine.
Answer:
a. Yes
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the absolute value of the z-score is 2 or larger, X is considered a surprising outcome.
In this question:
[tex]\mu = 7, \sigma = 3[/tex]
Would you be surprised if it took less than one minute to find a parking space?
We have to find the z-score when X = 1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - 7}{3}[/tex]
[tex]Z = -2[/tex]
Since Z = -2, the correct answer is:
a. Yes
Fernando factored 45y^6 as (9y^3)(5y^3).
Salma factored 45y as (3y)(15y^5).
Which of them factored 45y^6 correctly?
Answer:
They both factored it correctly
Step-by-step explanation:
To find the one that was factored correctly, we expand the two of them and compare with [tex]45y^6[/tex].
Fernando
[tex](9y^3)(5y^3)[/tex]
= [tex]9 * 5 * y^3 * y^3[/tex]
= [tex]45y^6[/tex]
Salma
[tex](3y)(15y^5)[/tex]
= [tex]3 * 15 * y * y^5[/tex]
= [tex]45y^6[/tex]
As we can see, they both factored it correctly.
Answer:
both are correct in their factoring
Step-by-step explanation:
A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction)
(StartFraction 1 over 52 EndFraction) (StartFraction 1 over 51 EndFraction) (StartFraction 1 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 51 EndFraction) (StartFraction 4 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 3 over 51 EndFraction) (StartFraction 2 over 50 EndFraction)
Answer:
The answer is A
Step-by-step explanation:
Edg : )
Answer:
A
Step-by-step explanation:
Question 6
Which is the graph of y=-x-3?
Graph B
Graph C
Graph A
Answer:
Step-by-step explanation:
I need the answer ASAP giving 20 points!
Answer: a makes the most sense
Step-by-step explanation:
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application)-rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The following data show the weight and price for 18 SA helmets.
W p
64 252
64 283
64 190
64 197
58 291
47 702
49 907
59 341
66 202
58 305
58 477
52 477
63 379
62 377
54 563
63 255
63 286
a. Develop a scatter diagram with weight as the independent variable.
b. Does there appear to be any relationship between these two variables?
There appears to be a - Select your answer -negativepositiveItem 2 linear relationship between the two variables. The heavier helmets tend to be less expensive.
c. Develop the estimated regression equation that could be used to predict the price given the weight.
The regression equation is (to 1 decimal and enter negative values as negative numbers). If your answer is zero enter "0".
Answer:
Step-by-step explanation:
Hello!
Given the variables
X₁: Weight of a safety helmet for racers
X₂: Price of a safety helmet for racers
Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.
a) Scatterplot in attachment.
b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.
c) The estimated regression equation is ^Yi= a + bXi
n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536
Y[bar]= 380.35; X[bar]= 59.29
[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18[/tex]
[tex]a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77[/tex]
The estimated regression equation for the price of the helmets as a function of their weight is:
^Yi= 2169.77 -30.18Xi
I hope it helps!
What is 3/4 - 1/2
Please help
Answer:
1/4
Step-by-step explanation:
1/2 is also equal to 2/4 since 2 is half of 4 so 3/4 minus 2/4 will get you 1/4
Please give brainliest :3
Answer:
1/4
Step-by-step explanation:
3/4 - 1/2
Get a common denominator
3/4 -1/2*2/2
3/4 - 2/4
1/4
A researcher developing scanners to search for hidden weapons at airports has failed to conclude that a new scanner is significantly better than the current scanner. He made his decision based on a test using alpha equals 0.025 . Would he have made the same decision at alpha equals 0.10 question mark How about alpha equals 0.01 question mark Explain.
Answer:
Yes, he would take the same decision.
Step-by-step explanation:
Consequently, because the decision is taken on the test based on the use of alpha equals 0.025, the p-value of the test must have been greater than the given amount of importance that is 0.025 since the test is not applicable to us. So, p > 0.025.
If we know that p > 0.025, that would not mean p > 0.1 as well, because we do not know with the details given he had to make the same decision for 0.1 degree of meaning.
As for the 0.01 significance point, we 're sure p > 0.01 is greater than 0.025, so the test does not matter.
Calculate the lateral area of the rectangular prism if the perimeter of the base is 48 units
Answer: It’s C just did assignment 288unitssquared
You have a bag of marbles that has 3 blue marbles and 4 red ones. What is the chance that you pick a blue OR a red marble?
Answer:
7/7
Step-by-step explanation:
Add up the amount of the marbles in total and read what color the marble they ask for the chances of. The color of marble should go first then the total of the marbles. (they could ask for more than one color so just add up both the colors given.)
the radius of 2 spheres are 4 and 12. find the scale factor of the surface areas
Answer:
~ Surface Area 1 = 9 * Surface Area 2 ~
Step-by-step explanation:
Let us look through this problem step by step;
1. The formula to determine the surface area of a sphere is 4πr^2
2. Here we can see that the difference between the two radii of the spheres is that one is 3 times greater than the other
3. So if you were to think about it, in this surface area formula if the radii is squared, the difference between the two surface areas would also be squared. That means that the difference between the surface areas is 3^2, or 9 times the other.
4. This would mean the scale factor to be that one of the spheres surface area is 9 times the other ( Surface Area 1 = 9 * Surface Area 2)
What do you have to know before you can round a number
Answer:
if it ends in 5 then you round up but if it's less than 5 you round down
Step-by-step explanation:
You first have to locate the digit in the rounding place and this digit can be in the ones place, tens place,
hundreds place, thousands place, and so on.
After you locate the digit, look at the
digit to the right of the rounding place.
If the digit to the right of the rounding place is less than 5, we round down and if the digit is greater than or equal to 5, we round up.
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
the answer would be D &F
Prove that the diagonals of a rectangle bisect each other.
The midpoints are the same point, so the diagonals _____
are parallel to each other.
bisect each other.
have the same slope.
are perpendicular to each other.
Answer:
bisect each other.
Step-by-step explanation:
The midpoints are the same point, so the diagonals bisect each other.
__
More elaboration on a proof
The alternate interior angles formed by diagonals and the sides of the triangle are congruent, so the (point-to-point) triangles formed by the crossing diagonals are congruent ASA. Since the sides of those triangles are congruent, the diagonals meet at their midpoints. That is, the diagonals bisect each other.
What is the meaning of life
Answer:
The answer of life is 42 just look it up
Consider the initial value problem y' − 9 2 y = 9t + 2et, y(0) = y0. Find the value of y0 that separates solutions that grow positively as t → [infinity] from those that grow negatively. (A computer algebra system is recommended. Round your answer to three decimal places.) y0 = How does the solution that corresponds to this critical value of y0 behave as t → [infinity]?
1, The corresponding solution converges to the function y = 9t.
2. The corresponding solution will decrease without bound.
3. The corresponding solution converges to the function y = −9t.
4. The corresponding solution converges to the function y = 0. The corresponding solution will increase without bound.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Please what is the length of AC? Please 1 day no answer.
Answer: AC = 2.33
Step-by-step explanation:
use tangent to find the missing side
Tangent = opposite/adjacent
tan B = ?/5
tan 25 = ?/5
multiply each side by 5
? = 2.33153829.....
so
AC = 2.33
Data were collected over a 10-year timespan from a sample of penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. Mean length of 344 foraging trips was 12.70 days for metal-tagged penguins. Mean length of 512 foraging trips was 11.60 days for electronic-tagged penguins. An estimate of the standard error for this difference of means is SE=0.283
Question:
Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. Mean length of 344 foraging trips was 12.70 days for metal-tagged penguins. Mean length of 512 foraging trips was 11.60 days for electronic-tagged penguins. An estimate of the standard error for this difference of means is SE=0.283.
a) We will address the question of whether foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins. State hypotheses in terms of two means.
b. Calculate the sample statistic xM - xE
c. Calculate a t-test statistic, using the given estimate of SE.
d. What are the correct (conservative) degrees of freedom for a t-distribution for this test?
e. Use t-distribution methods to find the p-value and draw a rough curve with appropriate shaded region. You may give either a precise p-value from software or bounds on a p-value from Table A.
f. State the conclusion of the test in context, using nontechnical language.
Answer:
See explanation below
Step-by-step explanation:
a) The null and alternative hypotheses are:
H0 : uM - uE = 0
H1 : uM - uE > 0
b) Calculating the sample statistic,
xM-xE, we have:
Given xM = 12.70 days
xE = 11.60 days
xM - xE = 12.70 - 11.60 = 1.10 days
Therefore sample statistic = 1.10
c) Calculating the test statistic, using the given estimate of SE, we have:
Given standard error, SE = 0.283
[tex] \frac{xM - xE}{SE} = \frac{12.70 - 11.60}{0.283} = 3.89 [/tex]
Therefore, t test = 3.89
d) The correct degrees of freedom.
We have:
[tex]Min(n_M-1, n_E-1 ) = Min(344-1, 512-1) = Min(343, 511)[/tex]
df = 343
e) p-value:
Pvalue = P(Z > 3.89) = 0.00000602
Since p value is less than significance level of 0.05, we reject null hypothesis H0.
f) Conclusion:
There is enough evidence to conclude that foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins.
A coin is tossed and a fourth section spinner is spun once a tree diagram shows the possible outcomes for the two events what is the probability of flipping tails on a coin and spinning a two on the spinner
Answer:
2/6 or 1/3 I think
Step-by-step explanation:
you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.
therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
0 (0,-5)
0 (0, -3)
O (0,3)
0 (0,5)
Answer:
(0,5)
Step-by-step explanation:
f(x) = x^2 + 3x + 5
The y intercept is when x =0
f(0) = 0 + 3*0 + 5
f(0) = 5
(0,5)
ten tiles numbered 1 through 10 are placed in a bag you randomly chose one tile. without replacing the tile you randomly chose a second tile. Find the probability of choosing a 4 and then an even number?
Answer:
1/10
Step-by-step explanation:
there are 10 tiles and only 1 tile numbered 4 so 1 out of 10 tiles are numbered 4
The perimeter of a square is 32cm? What is the length of each side?
the answer is 8 because there is 4 sides on a square and 8 x 4 is 32.
What steps should be used to find 55% of 300? Check
all that apply.
ger
Answer:
100x3=100 55x3=the answer 55x3=165 students 165 6th graders have a younger sibling.
Step-by-step explanation:
i did the assignment
55 percent of 300 is equal to 165.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Given,
55% of 300
55% can be written as fraction 55/100
= (55/100) × 300
Dividing 300 by 100
= 55 × 3
Multiplying
= 165
Hence, 165 is 55 percent of 300.
Learn more about percentage here:
https://brainly.com/question/24159063
#SPJ5
To study the effects of an advertising campaign at a supply chain, several stores are randomly selected with the following observed before‐ and after‐advertising monthly sales revenues: Store number 1 2 3 4 5 Old sales revenue (mil. $) 6.5 4.8 7.9 6.2 7.1 New sales revenue (mil. $) 7.5 6.3 7.1 7.8 8.9 Let μ₁ and μ₂ be the means of old and new sales revenues, both in millions of dollars per month. (a)[7] At α = 0.05, test H₀: μ₂ ≤ μ₁ versus H₁: μ₂ > μ₁. Sketch the test. Interpret your result. (b)[3] Sketch and find the p‐value of the test. Would you reject H₀ if α = 0.01? Hint: Use 5 decimals. Refer to some Excel lookups: αv 0.990 0.990 0.950 0.950
Answer:
Check the explanation
Step-by-step explanation:
Part a
H0: µ2≤µ1 versus H1: µ2>µ1
(Upper tailed test)
WE will consider differences as (New – Old).
From given data, we have
Dbar = 0.70
SD = 0.70
n = 5
Degrees of freedom = df = n – 1 = 5 – 1 = 4
Test statistic = t = (Dbar - µd) /[SD/sqrt(n)]
t = (0.70 – 0)/[0.70/sqrt(5)]
t = 0.70/ 0.3130
t = 2.2361
Critical value = 2.1318
(by using t-table)
P-value = 0.0445
(by using t-table)
P-value < α = 0.05
So, we reject the null hypothesis
There is sufficient evidence to conclude that the average monthly sales revenue increases after the advertising.
Kindly check the first attached image for the graphical table.
Part b
P-value = 0.0445
α = 0.01
P-value > α = 0.01
So, we do not reject the null hypothesis
There is insufficient evidence to conclude that the average monthly sales revenue increases after the advertising.
Kindly check the second attached image for the graphical table.
Solving One Step Equations:
z - 2.3 = 0.46
Answer:
z =2.76
Step-by-step explanation:
z - 2.3 = 0.46
Add 2.3 to each side
z - 2.3+2.3 = 0.46+2.3
z =2.76
You buy $2,500of saving bonds at 1.7%interest.how many years will it take for your investment to equal $3000?
Answer:
It will take 12 years using simple interest
Step-by-step explanation:
2,500 x 1.7% = 42.5
42.5 x 12 + 510
2500 +510 +3010
-7 2/3 +(-5 I/2) + 8 3/4=
Answer:-53/12
Step-by-step explanation:
-7 2/3+(-5 1/2)+8 3/4
-7 2/3-5 1/2+8 3/4
-23/3 - 11/2 + 35/4
(4x-23 - 6x11 + 3x35)/12
(-92-66+105)/12=-53/12
*ill give you BRAINLIST * (have to get it right ) Write the equation of the line with the given slope and y-intercept.
slope = 1
y-intercept = - 3/7
Answer:
Y=x-3/4
Step-by-step explanation:
slope intercept form
(slope=x)(1x=x)
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D. Vertx: (3,-16); Intercepts: x = -1, 7
Step-by-step explanation:
I graphed the equation on the graph below.
