Answer:
(a) The mean is 0.04
The standard deviation is approximately 0.0196
(b) The sampling distribution of p is not approximately normal because n·p is less than 10
(c) Given that n = 400, we have;
i) The mean is 0.04
The standard deviation is approximately 0.0098
ii) The sampling distribution is always centered at the population mean, regardless of the sample size
iii) When the sample size increases, the standard deviation decreases
(d) The sampling distribution of p is approximately normal because n·p and n·(1 - p) are both at least 10
Step-by-step explanation:
(a) From the question, we have that the actual proportion of all adult Americans who watch online = 0.04
Given that the sample size, 'n' is 100 which is larger than 30, we can assume that the distribution of the sample mean is normal
Therefore, the mean (proportion) of the sample, P = The mean (proportion) of the population = 0.04
The mean, P = 0.04
The standard deviation, σ = √((p·(1 - p))/n)
∴ σ = √((0.04·(1 - 0.04))/100) ≈ 0.0196
(b) The sampling of p is approximately normal, given that the sample size, 'n' = 100 which is randomly selected from the population, we have;
The sampling distribution = n·p = 100 × 0.04 = 4 <10
Therefore, the sample is not approximately normal because the sampling distribution, n·p = 4 which is less than 10
c) Given that n = 400, we have;
p = 0.04 = The [population mean
The standard deviation, σ √((0.04·(1 - 0.04))/400) ≈ 0.0098
According to the central limit theorem when the sample size increases, the mean approaches the population mean, therefore, the sampling distribution is always centered at the population mean, regardless of the sample size
When the sample size increases, the standard deviation decreases
(d) Given that when the sample size, n = 400, we have;
n·p = 400 × 0.04 = 16 > 10
Similarly, we have;
n·(1 - p) = 400 × (1 - 0.04) = 384 > 10
The sample is approximately normal
Therefore, the sampling distribution of p is approximately normal because np and n(1 - p) are both at least 10
Find the equation of the given line.
Find the equation of the line passing through
(5, 6) and (7, 9).
Answer:
y = 3/2x - 1.5
Step-by-step explanation:
m = y² - y¹ / x² - x¹
= 9 - 6 / 7 - 5
= 3/2
(5,6)
y = mx + c
6 = 3/2 (5) + c
6 = 7.5 + c
6 - 7.5 = c
c = -1.5
A study of drive-thru wait times for fast-food restaurants found that the average time spent Wendy's drive-thru was 138.5 seconds. Assume that drive-thru wait times are normally distributed with a standard deviation of 29 seconds, A Wendy's owner wants to give a free Frosty to customers who have an unusually long wait in the drive-thru.
The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than ________ seconds) is _________ seconds (give your answer to 2 decimal places).
Answer:
207.72 seconds.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean waiting time of 138.5 seconds, standard deviation of 29 seconds.
This means that [tex]\mu = 138.5, \sigma = 29[/tex]
The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than
The 100 - 0.75 = 99.15th percentile, which is X when Z has a pvalue of 0.9915, so X when Z = 2.387.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.387 = \frac{X - 138.5}{29}[/tex]
[tex]X - 138.5 = 2.387*29[/tex]
[tex]X = 207.72[/tex]
So the answer is 207.72 seconds.
6. Describe how we could conduct a simulation to decide whether a simple random sample from this population could produce a sample proportion like 0.55 if, in fact, only 50% of the population supports ban on smoking in cars when young children are present. Each trial represents Number of trials
Step-by-step explanation:
We have proportion p = 50/100 = 0.50
Probability of success = 1-0.50 = 0.50
To conduct simulation, let's assume experiment is to be done 10 times
1. Use binomial parameters n, number = 10, p = 0.50. we then get the necessary size of population To carry out the sampling.
2. We get a random sample and get the size of people who support an against smoking with kids in the car.
3. We repeat this process after drawing sample and also get the number of those in support of ban.
4. After getting n, we find proportion.
A survey of 2645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a company handles a crisis when at fault is one of the top influences in consumer buying decisions,with 73% claiming it is an influence. Quality of product was the number one influence, with 96% of consumers stating that quality influences their buying decisions. How a company handles complaints was number two, with 85% of consumers reporting it as an influence in their buying decisions. Suppose a random sample of 1,100 consumers is taken and each is asked which of these three factors influence their buying decisions.
Answer:
Step-by-step explanation:
The question that follows the passage include:
[tex]\text{a. What is the probability that more than 810 consumers claim that how a company } \\ \\ \text { handles a crisis when at fault is an influence in their buying decisions?}[/tex][tex]\text{b. What is the probability that fewer than 1,030 consumers claim that quality} \\ \\ \text{ of product is an influence in their buying decisions?}[/tex]
From the given information:
the sample size = 1100
P = 73% = 0.73
Sample proportion [tex]\hat p = \dfrac{810}{1100} = 0.7364[/tex]
The Z test statistics can be computed as:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.7364 - 0.73}{\sqrt{\dfrac{0.73(1-0.73)}{1100}}}[/tex]
[tex]Z = \dfrac{0.0064}{\sqrt{\dfrac{0.1971}{1100}}}[/tex]
[tex]Z =0.478[/tex]
a) Now the required probability of more than 810 claims is:
[tex]P(X> 810) = 1 - P(X<810) \\ \\ \implies 1 - ( X< 0.478) \\ \\ \implies 1 - 0.68367 \\ \\ = \mathbf{0.3163}[/tex]
b) The probability of less than 1030 consumers is:
Probability of quality product influencers = 96% = 0.96
Sample proportion [tex]\hat p = \dfrac{1030}{1100}[/tex] = 0.9364
The Z test Statistics is:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.9364 - 0.96}{\sqrt{\dfrac{0.96(1-0.96)}{1100}}}[/tex]
[tex]Z = -3.994[/tex]
[tex]P(X < 1030) = 1 - P(3.99) \\ \\ \implies 1 - 0.99999669 \\ \\ \implies \mathbf{0.00003 }[/tex]
. 3^2x+1 = 1 solve it
Answer:
x= 0
Step-by-step explanation:
Solve each equation below for the variable given.
134+ p =74 p =
25/8 + m = 7 1/8 m =
Answer: For the first one: P=-60
The second one: m=4
Step-by-step explanation:
134+p=74
You move to the right and you change the sign
Like this: p=74-134
Then you Calculate the difference
So p=-60 which is your answer
The second one: 25÷8+m=7 1/8
You divide the numbers like this:3.125m=7 1/8
Convert the mixed number into an improper fraction.. like this: 3.125+m=57/8
Move constant to the right and change the sign
Like this: m=57/8 - 3.125
Convert the decimal into a fraction
m=57/8-25/8
Then you Calculate the difference
So it will be m=4 which is your answer
Let me know if this helps
3m=117 solve da equation
How many times was the number cube rolled
The ball was rolled 50 times.
6+4+8+12+10+10 = 50
Hope this helps; have a great day!
Pls help Find the value for n try to use x/y Pls pls pls help il mark brainliest pls i really need help pls pls help
Answer:
coprs said the United of a group that had to take the first time and was not the first person in a while and
Step-by-step explanation:
Hello, Can you please answer this.
Answer:
Hey!
V = 1906.624 cm^3
SA= 922.56 cm^2
Step-by-step explanation:
The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube.
Volume of a cube = side times side times side.
HELPPP PLEASE YOU’LL GET 10 POINTS
Answer:
angle y and angle x
Step-by-step explanation:
Find each angle measure. ( Diagrams are not drawn to scale.)
Answer:
1-141
2-39
3-141
Step-by-step explanation:
180-39=141
1 and 3 look the same size and 2 looks the same as c (39°) so you jsut fill in for the letters
I'm pretty sure this is right
Impossible for me plz help. Also please insure that you write a let statement :)
OMG?!?!?!!?! HELP!!!?!?!?! PLEASE !?!?!? Thanks to those who do :D <3
A pump can fill 1800KL tank in one hour. How long would it take to fill a 90 KL tank?
lame 《 Solve & Share A flash drive costs $24, including tax. A customer purchases 3 flash drives and pays the cashier $80. How much change should the cashier give back to the customer? Solve this problem any way you choose.
Answer:
$8
Step-by-step explanation:
1 flashdrive = $24
3 flash drives x $24 = $7
$80 - $72 = $8
Your teacher is giving a test that is made up of 3 point questions and5 point questions the test is worth 100 points and has 28 questions how many 3 points questions are there ?
Answer:
I am thinking 8 amigo, i could be wrong, so please look it up, or try to think about how to do it
Step-by-step explanation:
I hope you have a blessed day!
Simplify the expression:
P + 7p + 5p
P = ?
A. 13p
B. 13
C. 16p
D. 16
pls answer ill give brainliest
Answer:
15
Step-by-step explanation:
the angle is opposite to 60 so it is also 60
60-45 = 15
Hope this helps :)
Which word is an antonym of permit?
Answer:
What are the options? ban, forbid, prohibit, are some examples
Step-by-step explanation:
Answer:
prohibited
permit means to allow so you would need a word that means not allowed which is prohibited
Delia put I two bags of blocks in the left-side pan of a balance. Each bag has the
same number of blocks. After she adds 10 blocks to the right-side pan, the pans
hang evenly. How many blocks are in 1 bag?
PLEASE HELP ME WITH QUESTION ONE AND EXPLAIN YOUR ANSWER PLEASE
Answer:
168 in³
Step-by-step explanation:
First, you get the area of the triangle - 1/2(7)(6)=21. Then you multiply it by the height. 21x8=168
Answer:
Answer in explanation
Step-by-step explanation:
The formula for volume of a triangular shape is Volume = base x height x length / divided by 2
1. V = 7 ( base ) x 6 ( height ) x 8 ( length ) divided by 2 = 168in3 ( in cubed )
2. V = 5 ( base ) x 6 ( height ) x 3 ( length ) divided by 2 = 45in3 ( in cubed )
* make sure you put all your answers for volume in in3
I hope this helped, good luck!
the volume of a rectangular prism is 10 cubic feet. what could the dimensions of the prism be
We need 3 numbers that equal 10 when multiplied. 1, 5, and 2 are what come to mind for me.
1x5=5
5x2=10
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hope it helps
Please answer quick just super small explanation pls hurry quick for brainlessly answer
Ocean waves are hitting a beach with a frequency of 0.100 Hz. Their average wavelength is 15.0 m. What is their average speed?
Answer:
7 mph or 11.27 kphe
Step-by-step explanation:
Im pretty sure pls give 5 stars
Select which of the following biconditionals is true. (Check all that apply.)
a. If n is even, then 7n + 4 is even; if 7n + 4 is even, then n is even.
b. If n is odd, then 7n + 4 is odd; if 7n + 4 is odd, then n is odd.
c. If n is even, then 7n + 4 is even; if 7n + 4 is odd, then n is odd.
d. If n is odd, then 7n + 4 is even; if 7n + 4 is even, then n is odd.
Simone read online that the failure rate in Arizona for the first attempt of the written driver’s test is 60%. Simone thinks the Arizona rate is less than 60%. To investigate, she selects an SRS of 50 Arizona drivers and finds that 27 failed their first written driving test. To determine if this provides convincing evidence that the failure rate for Arizona is less than 60%, 200 trials of a simulation are conducted. Simone’s hypotheses are: H0: p = 60% and Ha: p < 60%, where p = the true proportion of Arizona drivers who fail the first attempt of the written driver’s test. Based on the results of the simulation, the estimated P-value of this test is 0.035. Using α = 0.01, what conclusion should Simone reach?
Because the P-value of 0.035 > α, Simone should reject H0. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.
Because the P-value of 0.035 > α, Simone should reject H0. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.
60%.
Because the P-value of 0.035 > α, Simone should fail to reject H0. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.
Because the P-value of 0.035 > α, Simone should fail to reject H0. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%
Answer:
Its B
Step-by-step explanation:
edge 2021
Angle ABD is 90°
What is the measure of ZABC?
O A 360
O B. 54°
OC. 90°
OD. 126°
O E. 144º
HELP please correct answer please mathematics
Answer:
96 units^2
Step-by-step explanation:
(8*24)/2=96
I need help with this problem please
Answer:
-9
Step-by-step explanation:
Remove parentheses.
9(−1)2−7
Subtract 77 from 22.
9(−1)−5
Rewrite the expression using the negative exponent rule b−n= 1/bn
91(−1)5
Raise −1 to the power of 5.
9(1/-1)
Divide 1 by −1.
9⋅−1
Multiply 9 by −1.
−9
Which scatter plot shows the relationship
between the amount of gasoline in an
automobile's tank and the distance travelled
since the last fill-up?
Answer:
-0.04x +17.2
Step-by-step explanation: