Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 19 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 21 with a standard deviation of eight. Is the mean age of entering prostitution in Canada lower than the mean age in the United States

Answers

Answer 1

Answer:

Step-by-step explanation:

The null and the alternative hypothesis can be computed as:

[tex]H_o: \mu_{c} \ge \mu_{us}[/tex]

[tex]H_a: \mu_{c} < \mu_{us}[/tex]

The t- student test statistics can be computed as:

[tex]t = \dfrac{ x_c - x_{us} }{\sqrt { \dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us} ^2}{n_{us}} } }[/tex]

[tex]t = \dfrac{ 19 - 21 }{\sqrt { \dfrac{7^2}{100} + \dfrac{8^2}{130} } }[/tex]

t = -2.017

degree of freedom = (n₁-1)+(n₂-1)

= (100-1) + (130-1)

= 228

At t = -2.017 and 228 df

P-value = -0.224

Decision rule: Not to reject the null hypothesis if the p-value is greater than ∝(0.01)

Conclusion: We reject the null hypothesis since the p-value is less than ∝.

Thus, there is sufficient evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United states.


Related Questions

Suppose you have $50, how much change would you receive if you bought a DVD that cost $27.99?

Answers

Answer:

$33.01

Step-by-step explanation:

Answer:

33.01

Step-by-step explanation:

Devin is investigating the relationship between the temperature in degrees Fahrenheit and the number of gallons sold at a lemonade stand on each day during a particular week

Answers

Answer:

d. A good line of best fit is y= 0.36x -20.15 because this is what the regression calculator returns if all the data except the point (86, 2) are entered. :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I believe

Have a nice day :)

200% of 15 is what number

Answers

Answer:

=200/100 ×15

=2×15

=30

Hope it helps...

Suppose the variance in trunk diameter of the giant sequoia tree species is 15.7m^2, while the variance in trunk diameter of the California redwood tree species is 10.6m^2. Let x1 represent the average trunk diameter of four randomly sampled giant sequoia trees, and let x2 represent the average trunk diameter of three randomly sampled California redwood trees. If the random sampling is done with replacement, what is the standard deviation σ(x1−x2) of the sampling distribution of the difference in sample means x1−x2 ?

Answers

Answer:

[tex]\mathbf{ \sqrt{\dfrac{15.7}{4} + \dfrac{10.6}{3}} }[/tex]

Step-by-step explanation:

Given that:

[tex]\overline x_1 =[/tex] the average diameter of 4 randomly select sequoia trunk from giant trees

[tex]\overline{x_2}[/tex] = the average diameter of 3 randomly selected trunk in California trees.

Thus;

sample size [tex]\mathbf{n_1 = 4 \ \ \& \ \ n_2 = 3}[/tex]

Variance:

[tex]\mathbf{\sigma_1^2 = 15.7 }[/tex]

[tex]\mathbf{\sigma_2^2 = 10.6 }[/tex]

Recall that:

[tex]\mathbf {( \overline x_1 - \overline x_2) \sim Normal \Big ( \mu_1 -\mu_2 \ , \ \dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_12^2}{n_2} \Big )}[/tex]

[tex]\mathbf{Mean ( \overline x_1 - \overline x_2) = \mu_1 - \mu_2}[/tex]

Therefore:

The standard deviation [tex]\mathbf{ \overline x_1 - \overline x_2 = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2} } }[/tex]

[tex]\mathbf{ \overline x_1 - \overline x_2 = \sqrt{\dfrac{15.7}{4} + \dfrac{10.6}{3}} }[/tex]

The standard deviation of the sampling distribution of the difference in the sample means is 9.95

The given parameters are:

Variance: [tex]\sigma_1 ^2 = 15.7[/tex], [tex]\sigma_2 ^2 = 10.6[/tex]Sample size: [tex]n_1 = 4[/tex], [tex]n_2 = 3[/tex].

For a normal distribution we have:

[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2}}[/tex]

So, the equation becomes

[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{15.7^2}{4} +\frac{10.6^2}{3}}[/tex]

Evaluate the exponents

[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{246.49}{4} +\frac{112.36}{3}}[/tex]

[tex]\bar x_1 - \bar x_2 = \sqrt{61.62+37.45}[/tex]

Evaluate the sums

[tex]\bar x_1 - \bar x_2 = \sqrt{99.07}[/tex]

Evaluate the square roots

[tex]\bar x_1 - \bar x_2 = 9.95[/tex]

Hence, the standard deviation of the sampling distribution of the difference in the sample means is 9.95

Read more about sampling distribution at:

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so far carmella has collected 14 boxes of baseball cards there are 31 cars n each box carmella estimates that she has about 3000 cards so she buys albums that hold 500 cards each

Answers

Answer:

Step-by-step explanation:

I need help on this problem
Please
The tutor button has not been working

Answers

Answer: 14 and 3.5

Step-by-step explanation:

Answers: 1. 14 and 2. 3.5

The office store sells printer paper. Last week, The store sold 324 packs of white paper, which was 40% of the paper it was sold for the whole week. The store also sold 81 packs of blue paper,243 packs of yellow paper,and 162 packs of pink paper, The store manager needs to determine The percentages of the other paper sold

Answers

Answer:

72%

Step-by-step explanation:

Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening which wich equation can my used to find how much of project she painted in all

Answers

Answer: The project is 7/8 painted.

Step-by-step explanation: Add 1/8 to 3/4 for the total.

Use the least common denominator, /8

3/4 is equivalent to 6/8.

6/8 + 1/8 = 7/8

Step-by-step explanation: To find how much of the wall Maya painted, we will add the two fractions. Let's do it step-by-step.

1. These fractions have unlike denominators, to make them alike, we have to find the LCD (Least Common Denominator).

3/4 = 6/8

1/8 = 1/8

Note: What you did to the bottom, you do to the top.

1a. I multiplied 2 by 3 and 4 to get 6/8.

1b. I multiplied 1 by 1 and 8 to get 1/8.

2. Since we have like denominators, we can add!

[tex]Solve:\frac{6}{8} +\frac{1}{8} = \frac{7}{8}[/tex]

Therefore, your answer is 7/8. The fraction don't need to be reduced to lowest terms.

Plz help

Giving 10 points



What is 12.36 rounded to the nearest whole number

Answers

Answer:

12.

Step-by-step explanation:

This is how to round 12.36 to the nearest whole number. In other words, this is how to round 12.36 to the nearest integer.

12.36 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 12

Fractional Part: 36

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 12.36 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 12.36 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 3 and 3 is less than 5. Therefore, we simply remove the fractional part to get 12.36 rounded to the nearest whole number as:

12

Answer:

It’s 12


Explanation:

Please help how do you do this? Can someone please explain

Answers

Function because it passes the vertical line test

Domain: (-♾, ♾)
Range: (-5, 4)

if ther are 36 eggs in 4 cakes, what should we divide by?​

Answers

There would be 9 eggs in each cake. 36 divided by 4 would equal 9.

I need help quick plz

Answers

Step-by-step explanation:

3rd one is the answer

-2x+1

Answer:

f(x) = 2x + 1

Step-by-step explanation:

You can plug in the value to each one and see if the function is true. The only one in which the function is true is f(x) = 2x + 1, so the answer is 2x + 1.

To estimate the mean height of female high school juniors, you take a

random sample of 30 female students and get these results (in inches):

72,51, 67, 68, 61, 69, 58, 56, 60, 56

66, 61, 60, 59, 59, 54, 58, 53, 68, 63

57, 62, 63, 64, 56, 62, 58, 67, 57, 70


If the o is 5.3, based on past research, and you want to construct a 97%

confidence interval using (estimate) + (margin of error)= (estimate)

what's your point estimate of ?

A. 30

B. 5.4

C. 65

D. 61.17

Answers

Answer:

61.16667 ; (58.958, 63.375)

Step-by-step explanation:

Given the data :

72,51, 67, 68, 61, 69, 58, 56, 60, 56, 66, 61, 60, 59, 59, 54, 58, 53, 68, 63, 57, 62, 63, 64, 56, 62, 58, 67, 57, 70

Standard deviation, σ = 5.3

Sample size, n = 30

The point estimate of the population mean:

Mean, m = Σx/n

Σx = 1835 ; n = 30

m = 1835 / 30

m = 61.16667

Confidence interval :

m ± Tn-1,α/2 * σ/sqrt(n)

61.16667 ± T30-1,0.03/2 * 5.3/sqrt(30)

61.16667 ± T29,0.015 * (5.3/sqrt(30))

61.16667 ± 2.282175 * (0.9676431)

Lower bound = 61.16667 - 2.20833 = 58.95834

Upper bound = 61.16667 + 2.20833 = 63.375

(58.958, 63.375)

What is the inverse function of (2)
2
?

Answers

a,b,c,and d

Step-by-step explanation:

there came a time, when a child cheated on their math work. getting the answers they needed wasnt all

they needed someone to make them feel terrible abuot it

and thats what im here to do

PICK ALL OF THEM

MASH YOUR COMPUTER

At a football game, 45% were supporting the visiting team. If 946 people attending supported the home team, what was the total number of people attending the game?

Answers

Answer: 1720

Step-by-step explanation:

A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioningsystems:

Yes No
Evidence of electrical failure Yes 55 17
Electrical failure No 32 3


The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability.

a. That failure involves a gas leak
b. That there is evidence of electrical failure given that there was a gas leak
c. That there is evidence of a gas leak given that there is evidence of electrical failure

Answers

Answer:

A) 0.8131 ≈ 0.81

B) 0.6322 ≈ 0.63

C)  0.7639 ≈ 0.77

Step-by-step explanation:

A)

Total number of  units

= 55 + 32 + 17 + 3

 = 107

hence the probability that the failure involves a gas leak

= ( 55 + 32 ) / 107

= 0.8131

B) probability that there is evidence of electrical failure given tat there is a gas leak

P ( A / B ) = [tex]\frac{P(A n B)}{P(B)}[/tex]

P( A∩B ) = 55/107 = 0.5140

P ( B ) = ( 55 + 32 ) / 107 = 0.8131

hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322

A = failure due to electrical

B = failure due to gas leak

C)  Probability of a gas leak given that there is evidence of electrical failure

P ( B / A ) =  [tex]\frac{P(BnA)}{P(A)}[/tex]

P ( B ∩ A ) = 0.5140

P( A ) = ( 55 + 17 ) / 107  = 0.6729

hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639

3 is added to n translate expression.

Answers

Answer:

the ANSWER is 1

Create an equivalent ratio to 20:24 by dividing both sides by 4. What is the equivalent ratio

Answers

Answer:

5:6

Step-by-step explanation:

since you are dividing it by 4

You need to divide both sides by 4.
20/4 = 5
24/4 = 6
So the ration is 5:6
Let me know if you have any questions!

HELP NEEDED! Thanks if you do!!

Answers

Answer:

We conclude that:

csc (U) = 26 / 24        

Step-by-step explanation:

Given

The angle ∠U The opposite of the angle ∠U = 24The hypotenuse = 26

To determine

csc (U) = ?

Using the trigonometric ration

sin Ф = opposite / hypotenuse

substituting Ф = U, opposite = 24, hypotenuse = 26

sin (U) = 24/26

We know that: csc (U) = [1 ] / [sin(U)]

Therefore,

csc (U) = [1 ] / [sin(U)]

            = 26 / 24

Therefore, we conclude that:

csc (U) = 26 / 24        

3. Molly bought four rose bushes for $16.40 each. Use
mental math to find the total cost of the bushes.
Justify your answer by using the Distributive Property.

Answers

Answer:

$65.60

Step-by-step explanation:

4×16.40 = 4×(16+0.40) = (4×16) + (4×0.40) = 64 + 1.60 = 65.60

Can someone help me please

Answers

Answer:

5

Step-by-step explanation:

is a trapezoid a quadrilateral

Answers

Answer:

From what I know the answer is no

Step-by-step explanation:

A quadrilateral  is a shape with four equal sides, the sides on a trapezoid are not equal therefore, its not a  quadrilateral .

Answer:

True

Step-by-step explanation:

     A quadrilateral is any shape with four sides. A trapezoid does have four sides, and therefore is a quadrilateral. The difference between a trapezoid and a "regular quadrilateral" is a trapezoid only has one pair of parallel sides, why a quadrilateral like a square or rectangle has two pairs.

Have a nice day! - I know that this is late, but this problem popped up on my dashboard and I thought I would answer :)

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Cassidy is planning to obtain a loan from her bank for $210,000 for a new home. The bank has approved Cassidy's loan at a fixed annual interest rate of 2.7% compounded monthly for 15 years. Use the formula to determine Cassidy's approximate monthly payment.
P = Fp(t)/1 - (1+t)^-n
Answer choices:
A. Cassidy’s approximate monthly payment will be $5,717.26
B. Cassidy’s approximate monthly payment will be $1,721.15
C. Cassidy’s approximate monthly payment will be $1,474.58
D. Cassidy’s approximate monthly payment will be $1,420.11

Answers

Answer:

$1,420.11

Step-by-step explanation:

I just took the test and got it right

Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home option (D) is correct.

What is a loan amortization schedule?

It is defined as the systematic way of representing of loan payments according to the time in which the principal amount and interest are mentioned in a list manner

It is given that:

Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.

A fixed annual interest rate of 2.7% compounded monthly for 15 years.

The formula is:

[tex]P=\rm \dfrac{Fp(i)}{1-(1+i)^{-1}}[/tex]

Plug all the values in the above formula:

[tex]P=\rm \dfrac{210000(2.7\%/12)}{1-(1+(2.7\%/12))^{-15\times12}}[/tex]

After calculating:

P = $1420.11

Thus, Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.

Learn more about the amortization schedule here:

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Need help in 31 and 33 thanks need ASAP

Answers

Answer:

31: |8| +|18|=|26|

33: |2| +|9|=|11|

since these numbers are already positive, the numbers will stay the same just add the bars in front and after it.

What would the height need to be for this curve to be a density curve?
-1/6
1/6
1/5
1

Answers

Answer:

One-sixth or 1/6

Step-by-step explanation:

A probability density curve satisfies several rules: It never goes below the horizontal axis, i.e. it's never negative. ... The chance of the quantity falling between a and b is the area under the curve between the point a and b.

The height of density curve is 1/6. Therefore, option B is the correct answer.

What is density curve?

In probability theory, a probability density function, or density of a continuous random variable, is a function whose value at any given sample in the sample space can be interpreted as providing a relative likelihood that the value of the random variable would be close to that sample.

A density curve is always on or above the horizontal axis. The area underneath a density curve is exactly 1. The area under a density curve and above any range of values is the relative frequency of all observations that fall in that range.

The curve will never dip below the x ≥ Height>0

Area under the curve=Area of a rectangle with length=height of curve width=6

=Height of curve × 6

Area under the curve = 1

⇒ Height of curve × 6=1

=1/6

The height of density curve is 1/6. Therefore, option B is the correct answer.

To learn more about the density curve visit:

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Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools

Answers

Answer:

its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest

The population of interest will most likely be option B. all of the sea urchins near the plant.

The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.

A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.

For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.

Learn more about population of interest here:

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hey will mark highest

Answers

Answer:

Step-by-step explanation:

x + 159 = 180

x = 21

Answer:

x + 159 = 180

x = 21

Step-by-step explanation:

Please help me with my work ​

Answers

Answer:

In the image below

Step-by-step explanation:

(Ooo yay 2-column proofs are fun)

Pls help, my teacher told me to translate this as an assignment so pls help.
th3f1r5t345y4551gnm3ntf0r411th35t9d3nt5.

and also this to. th3l45td4y0f5ch00l15601n6t0b31n4wh1l3.

answer key. y=7 -------- e=3 ---------- s=5 ---------- a=4 -----------9=u -----------i=1 ------------- o=0 ---------------- z=2 -------------g=6 --------------8=b.

Answers

The first easy assignment for aiithestudents

The iastday of school is going to be in awhile

Hope this helps!! <3

Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit

Answers

Complete question :

A college football coach wants to know if the is a correlation between his players' leg strength and the time it takes for them to sprint 40 yards. he sets up the following test and records the data:

Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?

Leg Press (reps)|40-yard Dash (s)

15 |5.2

18 |6.3

8 |6.8

30 |8.2

26 |8.0

12 |5.3

21 |5.9

Answer:

ŷ = 0.1073X + 4.5365

6.9

Step-by-step explanation:

Leg Press (reps)X:

15

18

8

30

26

12

21

Y:

5.2

6.3

6.8

8.2

8.0

5.3

5.9

Using a regression calculator :

The equation of line of best fit is :

ŷ = 0.1073X + 4.5365

Slope or gradient = 0.1073

Intercept = 4.5365

X = independent or predictor variable (leg press)

Y = predicted variable (40 yard dash)

B)

X = 22

Y = 0.1073(22) + 4.5365

Y = 6.8971

Y = 6.9

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