Of 136 people visiting an art gallery, 17 bought paintings. What percent of the visitors bought a painting? Answer for crown :)

A study was conducted to determine whether an expectant mother's cigarette smoking has any effect on the bone mineral content of

svp [43]

Using Hypothesis testing,

a) Two samples are independent.

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ : an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Null hypothesis is accepted.

so, an expectant mother's cigarette smoking has no effect on the bone mineral.

We have given that,

A study which is conducted for check an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

For new-born whose mother's cigarette smoking

sample size , n₁= 77

X-bar, x₁-bar = 0.098 g/cm

standard deviations, s₁ = 0.026 g/cm

For new-born whose mother did not cigarette smoking

sample size , n₂ = 161

standard deviations, s₂ = 0.025 g/cm.

mean (X-bar) , x₂-bar = 0.095 g/cm

a) the two samples are independent since they are different types of mothers, smoking mothers and non smoking mothers

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ: an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Test statistic:

t = (x₁-bar - x₂-bar )/S (√1/n₁+1/n₂)

where , S = √(s₁²(n₁ - 1) + s₂²(n₂ -1))/n₁+n₂ - 2

S = √((0.026)²(76) +(0.025 )²(160))/236

= 0.0253

then, t = (0.098 - 0.095 )/0.0253(√1/77 +1/161 )

=> t = 0.859

Using the critacal table critical t is

Critical t = ±1.970065

Degrees of freedom =236.0000

P-Value=0.3935 which is greater than α(0.05),

So , we accept H₀

Thus, an expectant mother's cigarette smoking has not effect on the bone mineral content of her otherwise healthy child.

To learn more about Hypothesis testing, refer:

brainly.com/question/4232174

#SPJ4

8 0

1 year ago

Amanda went to the store to purchase ink pens. She found three kinds of pens. The first cost $4 each; the price of the second ki

KonstantinChe [14]

Answer:

Amanda buy first kind of pen = 3

Amanda buy second kind of pen = 2

Amanda buy third kind of pen = 15

Step-by-step explanation:

Given - Amanda went to the store to purchase ink pens. She found three

kinds of pens. The first cost $4 each; the price of the second kind

was 4 for $1; and the cost for the third kind was 2 for $1. She bought

20 pens and she bought at least one of each kind. (It is possible to

buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was

$20.

To find - When she got back to her office, Amanda decided to turn this into

a math problem for me. She asked: how many of each kind did I

buy?

Proof -

Let Amanda buy first kind of pen = x

second kind of pen = y

third kind of pen = z

As given,

She bought total pen = 20

⇒x + y + z = 20 ...............(1)

Now,

As given,

cost for first kind pen = $4 for 1 pen

As she bought x pens of first kind , so

Cost of x pens of first kind = $4x

Now,

The price of the second kind was 4 for $1

⇒Cost of second kind = $ $\frac{1}{4}$ for 1 pen

As she bought y pens of send kind , so

Cost of y pens of second kind = $ $\frac{1}{4}y$

Now,

The price of the third kind was 2 for $1

⇒Cost of third kind = $ $\frac{1}{2}$ for 1 pen

As she bought z pens of send kind , so

Cost of z pens of third kind = $ $\frac{1}{2}z$

Now,

As given, The cost was $20

⇒4x + $\frac{1}{4}y$ + $\frac{1}{2}z$ = 20

⇒16x + y + 2z = 80 .....................(2)

∴ we get 2 equations

x + y + z = 20 .....................(1)

16x + y + 2z = 80 .....................(2)

Now,

Subtract equation (1) from equation (2) , we get

16x + y + 2z - ( x+ y + z )= 80 - 20

⇒16x + y + 2z - x - y - z = 60

⇒15x + z = 60

⇒z = 60 - 15x

Now,

Put the value of z in equation (1) , we get

x + y + 60 - 15 x = 20

⇒ y - 14x = 20 - 60

⇒y - 14x = -40

⇒14x - y = 40

⇒y = 14x - 40

Now,

we get

z = 60 - 15x

y = 14x - 40

As given

she bought at least one of each kind

it means x > 1, y > 1, z > 1

Now,

If x = 1, then y = 14 - 40 = -26

Not possible

If x = 2 , then y = 14(2) - 40 = -12

Not possible

If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15

Possible.

If x = 4, then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0

Not Possible.

If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15

Not Possible.

∴ we get

x = 3, y = 2, z = 15

Amanda buy first kind of pen = x = 3

Amanda buy second kind of pen = y = 2

Amanda buy third kind of pen = z = 15

7 0

2 years ago

What is the length of segment A’B with the scale factor of 2

Nata [24]

260 units are the answer

7 0

3 years ago

The mass of a proton is approximately 1.67 x 10−24, and the mass of an electron is approximately 9.11 x 10−28. Find the approxim

svetoff [14.1K]

1.67x[10^(-20)] 1.67x[10^(-24+28)]
--------------------- = -------------------------- =
9.11x[10^(-28)] 9.11

.183315(10^4)=1833.15

The proton mass is about 1833 times an electron mass

Hope this helps!

5 0

3 years ago

Read 2 more answers

16y = 19 A. y = 4 B. y=2/3 C. y=1/4 D. y = 38

____ [38]

Answer:

y=19/16 or y=1.1875

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers