Exhibit 9-2 The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Refer to Exhibit 9-2. At a .05 level of significance, it can be concluded that the mean of the population is _____.
Answer:
At a .05 level of significance, it can be concluded that the mean of the population is significantly more than 3 minutes.
Step-by-step explanation:
We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.
At the null hypothesis, we test if the mean is of at most 3 minutes, that is:
[tex]H_0: \mu \leq 3[/tex]
At the alternative hypothesis, we test if the mean is of more than 3 minutes, that is:
[tex]H_1: \mu > 3[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
3 is tested at the null hypothesis:
This means that [tex]\mu = 3[/tex]
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute.
This means that [tex]n = 100, X = 3.1, \sigma = 0.5[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}[/tex]
[tex]z = 2[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 3.1, which is 1 subtracted by the p-value of z = 2.
Looking at the z-table, z = 2 has a p-value of 0.9772.
1 - 0.9772 = 0.0228
The p-value of the test is of 0.0228 < 0.05, meaning that the is significant evidence to conclude that the mean of the population is significantly more than 3 minutes.
Plz hurry
50 points
Answer:
2:3 < 5:6
10:12 > 6:9
The ratios in table 1 are less than the ratios in Table 2
Step-by-step explanation:
cross multiply the ratios and you can tell which one is bigger.
For example, in the first ratio you can see that 2x6 < 5x3
Do that for the second set of ratios and you can see that the ratios in table one are smaller than the ratios in table 2.
Hope this helps
Answer:
2 :3 < 5:6
10: 12 > 6:9
Step-by-step explanation:
i took the test
please help will give brainliest and points
i need this by tomorrow pleaseeee
Answer:
Step-by-step explanation:
Angle 1 and angle 2 are remote interior angles of angle 6 because angles 1 and 2 are on the inside and it is remote and across from angle six. You can also see this where angle 1 and angle 3 are remote interior angles of angle 5
So in turn angles 2 and 3 are remote interior angles of angle 4 for the same reasoning.
Add 2/5, 3/10 and 1/2. Give your answer as a mixed number
Answer:
I hope this will help you
What value of y will make the equation true?
√34 x Wy - 34
PLEASE HELP
Answer:
y = 34Step-by-step explanation:
Given,
[tex] \sqrt{34} \times \sqrt{y} = 34[/tex]
[tex] = > \sqrt{34y} = 34[/tex]
[tex] = > 34y = {34}^{2} [/tex]
[tex] = > 34y = 34 \times 34[/tex]
[tex] = > y = \frac{34 \times 34}{34} [/tex]
=> y = 34 (Ans)
Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.) f(x, y, z) = yz + xy; xy = 1, y^2 + z^2 = 25
Answer:
pls post pic of question can't understand ur question
The local minimart the cost of a bag of chips at the corner store is 1.45 at the cost of a banana is 0.85 what would it cost to get six bags of chips and two bananas what would it cost to get ex bags of chips and y bananas
9514 1404 393
Answer:
10.40 for 6 chips and 2 bananas1.45x +0.85yStep-by-step explanation:
The total cost is the sum of products of number of items and item cost.
(6 bags)(1.45/bag) +(2 bananas)(0.85/banana) = 8.70 +1.70 = 10.40
It would cost 10.40 for 6 bags of chips and 2 bananas.
__
Similarly, for x bags and y bananas, the cost is ...
1.45x +0.85y
The FDA regulates that fish that is consumed is allowed to contain 1.0 mg/kg of mercury. In Florida, bass fish were collected in 53 different lakes to measure the amount of mercury in the fish. The data for the average amount of mercury in each lake is in the given table ("Multi-disciplinary niser activity," 2013). Do the data provide enough evidence to show that the fish in Florida lakes has more mercury than the allowable amount? Test at the 10% level. Use the framework below to guide your work. Hypotheses:
H0 : u = 1.0 mg/kg
HA: ul > 1.0 mg/kg
Test statistic = -10.09 p-value is approximately 1, would report 0.9999. Since this is not less than or equal to 0.10, we do not favor Ha. We would conclude that there is not enough evidence to show that the mean amount of mercury in fish in Florida lakes is more than the allowable amount Why is the p-value so high when the test statistic seems extreme?
A. The alternative is > so the p-value matches the area to the left. Since the TS is negative, this results in shading most of the curve.
B. The TS is negative so the p-value matches the area to the left and results in a very small area. This p-value reported is not correct.
C. The alternative is > so the p-value matches the area to the right. Since the TS is negative, this results in shading most of the curve.
D. The TS should be positive so the p-value matches the area to the left and results in shading most of the curve.
Answer:
Step-by-step explanation:
H0 : u = 1.0 mg/kg
HA: u > 1.0 mg/kg
Test statistic = -10.09
p-value is approximately 1, would report 0.9999
α = 10% ; 0.1
Using the Pvalue, we can make a decision pattern ;
Recall ; H0 is rejected If Pvalue < α
Here,
Pvalue Given is ' 0.99999 α = 0.1
Pvalue > α ; Hence, we fail to reject the Null ;
The actual Pvalue calculated using the test statistic will be :
Pvalue(-10.09) with test statistic value using a Pvalue calculator
Pvalue < 0.00001
HELP ASAP! I have completed everything except for the last box. Can someone please help me on the last box. Thank you for your help!
Answer:
2.35%
Step-by-step explanation:
According to the Empirical Rule,
71 - 79 and 79 - 87 are each 34% of the graph.
63 - 71 and 87 - 95 are each 13.5% of the graph.
55 - 63 and 95 - 103 are each 2.35% of the graph.
Hope this helps.
Match each scenario with the type of correlation it shows
A number is chosen at random from 1 to 50. What is the probability of selecting
multiples of 10.
Answer: 25
Step-by-step explanation:
Frank sold 6,859 books in one year and 8,541 books in the next year. How many books did she sell altogether?
Answer:
15400 books
Step-by-step explanation:
in the first year he sold =6859 books
in the second year he sold =8541 books
therefore, to find the book he sold altogether
6859+8541
= 15400 books altogether
Answer:
15400 books altogether.
Explanation:
Books sold in 1st year: 6859
Books sold in 2nd year: 8541
Total books sold:
6859 + 8541 = 15400.
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is . Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among randomly observed individuals exactly do not cover their mouth when sneezing
Complete Question
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze
(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?
Answer:
[tex]P(X=6)=(0.162)[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=18[/tex]
Probability [tex]P=0.267[/tex]
No. that do not cover their mouth when sneezing [tex]x=6[/tex]
Generally the equation for The Binomial distribution is mathematically given by
Parameters
B(18,0.267)
Therefore
[tex]P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}[/tex]
Where
[tex]x=6[/tex]
Therefore
[tex]P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}[/tex]
[tex]P(X=6)=(0.162)[/tex]
Products come off an assembly line at the rate of several hundred per hour. It is desired to sample 10% of them to check whether they meet quality standards. Describe a sampling method that would be appropriate in this situation. Explain your reasoning.
Answer:
10% of the hundreds of products will be sampled, so the most effective sample method would be systematic sampling, checking every 10th product, which would avoid sources of bias such as missing a region of production where there could be some problems.
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this case:
10% of the hundreds of products will be sampled, so the most effective sample method would be systematic sampling, checking every 10th product, which would avoid sources of bias such as missing a region of production where there could be some problems.
Calculus 3 Problem:
5. The velocity field of a fluid flowing through a region in space is
F=-4 xy i+ 8y j +2 k
Find the flow along the curve r(t) = ti+t^2 j+k,
[tex]0 \leqslant t \leqslant 2[/tex]
Answer:
हेहेवोफेन्वोश्व्भ्जेहेहेहेहेहीहेह्सुउआअन्ब्य्हपन्स्न्द्कह्ध्फ्फ्ज्बिफ्न्व्मौएएएकेनेह्फिग्ग्तिर
Step-by-step explanation:
ddhxuxhdheuejeuejeiejejwoqoooeurrttqoyuxj न्क्क्द्सिइएर्रिरिर्क्जेव्व्व्द!दर्फ्ज्र्ज्द्ज74848491$=:/%*$*73829238%77-%7:8/:="829192=/:
Write in words 127075
Answer:
one lakh twenty seven thousand and seventy five
I hope this will help you
Divide:26xy(x+5)(y–4)÷13x(y–4)
Hello!
26xy(x + 5)(y - 4) ÷ 13x(y - 4) =
= 2xy × (x + 5) × (y - 4)x × (y - 4) =
= 2x²y × (x + 5) × (y - 4) × (y - 4) =
= 2x²y × (x + 5) × (y - 4)² =
= 2 × [x × (y - 4)]² × y × (x + 5) =
= 2(xy - 4x)² × y × (x + 5) =
= (2xy + 10y) × (x²y² - 8x²y + 16x²) =
= 2x³y³ - 16x³y² + 32x³y + 10x²y³ - 80x²y² + 160x²y
Good luck! :)
20 POINTS please explain well
The difference of course is the symbol between the f and g letters.
The circle [tex]\circ[/tex] notation means we're doing a function composition.
Writing [tex](f \circ g)(x)[/tex] is the same as saying [tex]f(g(x))[/tex] where g is the inner function.
Here's an example
f(x) = x^2
g(x) = 3x
f( g(x) ) = ( g(x) )^2 ... note how x is replaced with g(x)
f( g(x) ) = ( 3x )^2
f( g(x) ) = 9x^2
-------------------
On the other hand, the dot notation means we multiply the f(x) and g(x) functions.
Going back to the previous example, we could say
[tex]f(x) = x^2\\\\g(x) = 3x\\\\(f \cdot g)(x) = f(x)*g(x)\\\\(f \cdot g)(x) = x^2*3x\\\\(f \cdot g)(x) = 3x^3\\\\[/tex]
You can model that you expect a 1.25% raise each year that you work for a certain company. If you currently make $40,000, how many years should go by until you are making $120,000? (Round to the closest year.
(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5) in standard form
Answer:
0.7 x 10 ^ -9
Step-by-step explanation:
(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5)
3.5 / 5 x 10 ^ -4/ 10 ^ 5
=> 0.7 x 10 ^ -9
Find the distance from point A (0,5) to the line y = -3x - 5. Round to the nearest tenth
Answer:
3.2
Step-by-step explanation:
Substitute in the equation:
|(mx1-y1+b)| / √(m2 + (1)2) =
= |(0+-5+-5)| / √(9 + 1)
Sum and operate:
|-10| / √10 = 10 / √10
Exact solution is:
√10
Approximate solution is:
3.2
Answered by GAUTHMATH
please do asaaaaapppp
Answer:
D. y ≤ 2 and y ≤ x
what is the vertex of the quadratic function below? y=x^2-8+1
9514 1404 393
Answer:
(4, -15)
Step-by-step explanation:
We assume you want the vertex of ...
y = x² -8x +1
We can add and subtract 16 to complete the square.
y = x² -8x +16 +1 -16
y = (x -4)² -15
Compare to the vertex form ...
y = (x -h)² +k . . . . . . . quadratic with vertex (h, k)
We see that the vertex of the given function is ...
(h, k) = (4, -15)
Write the equation of the line in fully simplified slope-intercept form.
Step-by-step explanation:
y — yı = m(x – xı) equation of a line
Points A(1,3) and B(2,1)
Slope (m) = (y2 – y1) / (x2 – x1)
(1 –3) / (2 – 1)
–2/1
–2
Thus, y –3 = –2 (x – 1)
y – 3 = –2x + 2
y –3 + 3 = –2x + 2 + 3
y = –2x + 5
Lainey is looking for a new apartment and her realtor keeps calling her with new listings. The calls only take a few minutes, but a few minutes here and there are really starting to add up. She's having trouble concentrating on her work. What should Lainey do? a) Tell her realtor she can only receive text messages O b) Limit the time spent on each call O c) Turn off her phone until she is on a break O di Call her realtor back when customers won't see her on the phone
Answer:
Tell her realtor she can only receive text messages
Step-by-step explanation:
I put 22.5 but it won’t work is there any other way for this to work??
Try rounding off your answer
find two factors of the first number such that their product is the first number and their sum is the second number. 24,10
Answer: the numbers are 6 and 4.
Step-by-step explanation: 6 times 4 equals 24
6 plus 4 equals 10
Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of kg. Interpret your answer in terms of sampling error
Answer:
The result indicates that the percentage of all samples of three men that have mean brain weights within (1.24 * sampling error) of the mean is 78.50%.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
According to one study, brain weights of men are normally distributed with mean = 1.20 kg and a standard deviation = 0.14 kg.
Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg. Interpret your answer in terms of sampling error.
The explanation of the answers is now provided as follows:
Based on the Central limit theorem, it possible to say that the mean of sampling distribution (μₓ) is approximately equal to the population mean (μ) as follows:
μₓ = μ = 1.20 kg …………………………. (1)
Also, the standard deviation of the sampling distribution can be written as follows:
σₓ = (σ/√N) ……………………….. (2)
Where:
σ = population standard deviation = 0.14 kg
N = Sample size = 3
Substituting the values into equation (2), we have:
σₓ = 0.14 / √3 = 0.0808
Since we are to determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg, this implies that we have:
P(1.10 ≤ x ≤ 1.30)
Therefore, 1.10 and 1.30 have to be first normalized or standardized as follows:
For 1.10 kg
z = (x - μₓ) / σₓ = (1.10 - 1.20) / 0.0808 = -1.24
For 1.30 kg
z = (x - μₓ)/σₓ = (1.30 - 1.20) / 0.0808 = 1.24
The required probability can be determined when P(1.10 ≤ x ≤ 1.30) = P(-1.24 ≤ z ≤ 1.24).
From the normal distribution table, the following can be obtained for these probabilities:
P(1.10 ≤ x ≤ 1.30) = P(-1.24 ≤ z ≤ 1.24) = P(z ≤ 1.24) - P(z ≤ -1.24) = 0.89251 - 0.10749 = 0.7850, or 78.50%
Therefore, the sampling error is equal to 0.0808 which is the standard deviation of the sampling distribution.
In terms of the sampling error, the result indicates that the percentage of all samples of three men that have mean brain weights within (1.24 * sampling error) of the mean is 78.50%.
Find the minimum and maximum value of the function on the given interval by comparing values at the critical points and endpoints.
y= √1+x^2 −2x, [0, 1]
Answer:
maximum: y = 1
minimum: y = 0.
Step-by-step explanation:
Here we have the function:
y = f(x) = √(1 + x^2 - 2x)
we want to find the minimum and maximum in the segment [0, 1]
First, we evaluate in the endpoints, which are 0 and 1.
f(0) =√(1 + 0^2 - 2*0) = 1
f(1) = √(1 + 1^2 - 2*1) = 0
Now let's look at the critical points (the zeros of the first derivate)
To derivate our function, we can use the chain rule:
f(x) = h(g(x))
then
f'(x) = h'(g(x))*g(x)
Here we can define:
h(x) = √x
g(x) = 1 + x^2 - 2x
Then:
f(x) = h(g(x))
f'(x) = 1/2*( 1 + x^2 - 2x)*(2x - 2)
f'(x) = (1 + x^2 - 2x)*(x - 1)
f'(x) = x^3 - 3x^2 + x - 1
this function does not have any zero in the segment [0, 1] (you can look it in the image below)
Thus, the function does not have critical points in the segment.
Then the maximum and minimum are given by the endpoints.
The maximum is 1 (when x = 0)
the minimum is 0 (when x = 1)
What is the value of x
The triangle is formed by using the diameter as its base, so angle opposite to the diameter, i.e., ∠QRS = 90°
Given that QR and SR are equal, so it is an isosceles triangle. Hence, ∠RQS and ∠RSQ are equal. Hence, ∠RSQ = x + 6° because given that ∠RQS = x + 6°.
We know that all angles of a triangle adds up to 180°.
So, (x+6°) + (x+6°) + 90° = 180°
=> 2(x+6°) + 90° = 180°
=> 2(x+6°) = 180° - 90°
=> 2(x+6°) = 90°
=> 2x + 12° = 90°
=> 2x = 90° - 12°
=> 2x = 78°
=> x = 78°/2
=> x = 39°
