According to the document Market Survey of Long-Term Care Costs, published by the MetLife Mature Market Institute, the average cost of a private room in a nursing home was $239 per day in 2011. A random sample of 7 nursing homes yielded the following daily costs, in dollars, for a private room in a nursing home for this year:

265 283 266 366 243 334
213 266 140 276
292

At the 5% level of significance, does the data provide enough evidence to conclude that the mean cost of a private room in a nursing home this year has changed from the 2011 mean cost?

Answers

Answer 1

Answer:

We accept H₀. The information is not enough to reject H₀

Step-by-step explanation:

In 2011

Mean for the cost of a private room in a nursing home    μ = 239  $/day

Sample in 2021

265  283 266 366 243  334  213  266 140 276 292

average  =  x  = 267,64

Standard deviation  s  = 56,31

We assume a normal distribution. Random sample,  sample size and the fact that population standard deviation is unknown drive to develop a           t -student two-tail test at 5 % of significance level

n = 11    then degree of freedom   df  =  n  -  1    df  = 10

Then from t-student table df = 10 and α = 0,05   α/2 = 0,025

we get t(c) =  2,228

Hypothesis Test:

Null Hypothesis                       H₀         x  =  μ  = 239

Alternative Hypothesis           Hₐ         x  ≠  μ

To calculate  t(s)

t(s)  =  (  x  -  μ ) / s/ √n

t(s)  =  ( 267,64  - 239 ) / 56,31/√10

t(s) =  28,64 *3,16 / 56,31

t(s) = 1,61

Comparing   t(s)  and t(c)

t(s) < t(c)

Then t(s) is in the acceptance region we accept H₀ . We did´t found enough evidence to reject H₀


Related Questions

How is it similar please explain why don’t just say it looks the same please

Answers

the triangle on the left is just an enlargement of the smaller triangle or you can say the smaller triangle is a reduction of the bigger one, but they share the same angle measures

How long is the base of a parallelogram if it has an area of 100 square meters and a height of 5 meters?

Answers

Answer:

Base of parallelogram = 20 meter

Step-by-step explanation:

Given:

Area of parallelogram = 100 square meters

Height of parallelogram = 5 meters

Find:

Base of parallelogram

Computation:

Area of parallelogram = [Base of parallelogram][Height of parallelogram]

By putting value in the formula;

100 =  [Base of parallelogram][5]

Base of parallelogram = 100 / 5

Base of parallelogram = 20 meter

1/4 k = 28
whats the value of k?

Answers

the value of k is 112

6 times the number of waiters at a restaurant was 6 less than the number of
customers in the restaurant. The number of waiters was 3. How many customers
were there?

Answers

Answer:

12

Step-by-step explanation:

6x3-6=12

Answer:

12 customers

Step-by-step explanation:

6*3=18

18-6=12

So, there were 12 customers

:)

Write an
equation for two
angles a and b
that are
supplementary

Answers

Answer:

The correct option is the 1st option

a+b=180 degrees.

Which expression is equivalent to 3(x + 4)?

Answers

Answer:

3x + 12

Step-by-step explanation:

Use the distributive property.

3(x + 4) = 3 * x + 3 * 4 = 3x + 12

Answer: 3x + 12

Answer:

3x+12

Step-by-step explanation:

the tallest building in houston in 1,002 feet tall the tallest building in dallas is 307 yards tall which of the following is true F. the dallas building is 27 yd taller than the houston building G. the houston building is 27 yd taller than the dallas building H. the dallas building is 695 ft taller than the houston building J. the houston building is 695 ft taller than the dallas building A. 200 x 80 cm x 1 km/ 1,000 cm B. 200 x 80 cm x 1 cm/ 100 C. 200 x 80 cm x 100cm/1 m x 1,000 m/ 1 km D. 200 x 80 cm x 1 m/ 100 cm x 1 km/ 1,000 m

Answers

Answer:

The tallest building in the city is the Bank of America Plaza, which rises 921 feet (281 m) in Downtown Dallas and was completed in 1985.

Step-by-step explanation:

Answer:

G. the houston building is 27 yd taller than the dallas building

Step-by-step explanation:

1,002 ft

= 334 yards (Houston)

307 yards (Dallas)

F. Incorrect because the Houston building is taller.

G. 334 - 307 = 27 (This is true)

695 ft is not equal to 27 therefore, H and J are not true.

Maya counts 55 passengers on the bus. There were only 50 passengers on the bus. What is Maya's percent error?

Answers

Answer:

I don't know.

David ordered 210 face masks. 50% of the masks are blue. A fifth of the total masks are white and the remainder are black masks. How many black masks

Answers

Answer:

63

Step-by-step explanation:

50 % of 210 = 105

one fifth of total = 42

black masks = (105+42=) - 210 = 63 ans.

Vicki made 3 quarts of lemonade to serve at her party. she will serve the lemonade in glasses that hold 1 cup of liquid each. how many of these glasses can Vicki fill with lemonade? ( giving extra points etc. )

A : 16

B : 12

C : 14

D : 8

Answers

Answer: 12, B

Step-by-step explanation: There are 2 pints in a cup, and two cups in a quart. so 2 plus 2 is 4. 4 times 3 equals 12. so it is 12

The coordinates of the vertices of the triangle shown are A(2, 13), B(10, 5) and C(12, 14). What is the length of segment AB in units?

Answers

9514 1404 393

Answer:

  8√2 units

Step-by-step explanation:

The distance formula is useful.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((10 -2)² +(5 -13)²) = √(64 +64)

  d = 8√2

The length of AB is 8√2 units.

You start at (-4, 2). You move down 5 units. Where do you end?

Answers

Answer:

(-4, -3)

Step-by-step explanation:

I think this is the answer.

Pls help me I don’t know I just need 5 and 6 to be answered

Answers

Answer:

5. Mark had 6 laps and John has 42 laps. So you could do a sentence like: John has 42 laps and Mark has 6 laps. What is the diffrence between the two laps?

6. Im not sure about this one :/. Im truly sorry. :(. Good luck tho!

Step-by-step explanation:

Wei biked 91 meters. Paul biked 65 meters. How much farther did Wei bike than Paul? Enter the answer in the box. meters​

Answers

Answer:I have the same quastion too

Step-by-step explanation:

Jerome bowling average ,j, is at or above the leagues average of 100. Witch inequality BEST represents?

Answers

J is more than or equal to 100
J>/= 100

find the area of the shape below
I WILL MARK BRAINLEST!!

Answers

Answer:

25.75 sq units

Step-by-step explanation:

Big triangle = 1/2 * 3.5 * 9 = 15.75

Tiny triangle = .5 * 2 * 2 = 2

Medium triangle = .5 * 2 * 5 = 5

square = 2 * 2

15.75 + 4 + 5 + 2

The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square feet, of the remaining board?

Answers

Answer:

30.96 ft²

Step-by-step explanation:

area of square = 12 x 12 = 144 ft²

area of circle = (3.14)(6²) = 113.04 ft²

144 - 113.04 = 30.96 ft²

Which container holds gallons? A fish tank A glass of milk A salt container An eyedropper

Answers

Answer:

The answer is a fish tank

Step-by-step explanation:

Answer:

A fish tank

Explain:

A glass of milk is about 0.0625 gal

A salt container is about 0.03125 gal

And a eyedropper holds 0.00026417205235815 gal

Find the surface area
No link please and thank you

Answers

Answer:

1200 in^2

Step-by-step explanation:

SA = 2B + Ph

SA = 2(8 * 15 / 2) + 40(27)

SA = 1200

HELP ASAP! I WILL MARK BRIANLIST! THANK YOU (:

Answers

The answer is 3 just took the test

2
In 2002, there were 450 households in the city of Klean that recycled. Each year since 2002, the number of
households that recycle has grown by 8%. Write a function to represent the number of households
in Klean that recycle x years since 2002.

Answers

Answer:

450 x 1.08 ^ X = N

Step-by-step explanation:

Since in 2002, there were 450 households in the city of Klean that recycled, and each year since 2002, the number of households that recycle has grown by 8%, to write a function to represent the number of households in Klean that recycle X years since 2002 the following mathematical reasoning should be raised:

450 (initial number) x 1.08 (8% is added to the initial number) ^ X (years) = Number of households that recycle

450 x 1.08 ^ X = N

Thus, for example, if said number were calculated in 2007, that is, 5 years after 2002, the equation would apply as follows:

450 x 1.08 ^ 5 = N

450 x 1.4693 = N

661.20 = N

Find x, y and p in the given figure​

Answers

Answer:

x=50

y=40

p=130

Step-by-step explanation:

A whole circle is 360 degrees, so 270+40+x = 360. x=50.

Y is the same angle as the 40 degrees above it.

P is the same as y+90, so it's 40+90 = 130.

2/16 1 0 1 2 Which inequality matches the graph? A) n​

Answers

There is no picture but I'll help you find out:

The inequality is easy because an inequality says,

y > mx + b (This is just an example)

m = slope

b = y- intercept

What about the sign?

If the circle in the graph which is at the y-intercept (b) is OPEN than it's either < or > depending on where it's going, if it's going to the right on a number line than it's >, however if it goes left than it's <.

What about the AND EQUAL TO sign?

Well same rules apply, however if the circle is CLOSED than it should be      ≤ or ≥, same rules apply, if it goes right or left it's the same rule the only thing that changes is the and equal to, if circle is closed.

Example:

slope: 1/2

y-intercept: -9 (and the line is shaded to the right)

Open circle:

Equation: y > 1/2x - 9

Example 2:

slope: 3/4

y-intercept: -9 (is shaded to the left (less than))

(shaded)Closed circle:

Equation: y ≤ 3/4x - 9

Savings Account: A woman deposits $400 in a savings account that pays 6% annually. If she withdraws all the money in the account after 120 days, how much does she withdraw (rounded to the nearest dollar)? She withdraws $ * after 120 days.

I'm struggling with this one any help would be greatly appreciated!​

Answers

Answer:

jdbdvfbf did ddbvdrvd d dv

With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes. a) With a significance level of 5 percent, conduct an appropriate test on the claim. (State your null hypothesis, test statistic, critical value, decision rule, conclusion) (15 points) b) What is the 95% confidence interval for the population variance

Answers

Answer:

H0 : σ²= 7.2²

H1 : σ² < 7.2

We can conclude that the mean waiting time of customers vary less, Than 7.2 minutes.

Step-by-step explanation:

H0 : σ²= 7.2²

H1 : σ² < 7.2²

The test statistic :

X² = [(n - 1)*s² ÷ σ²]

s² = 3.5

n = sample size = 25. ; s²

X² = [(25 -1)*3.5² ÷ 7.2²

X² = (24 * 3.5^2) / 7.2^2

X² = 5.67

Pvalue from Chisquare statistic :

P(X² < 5.67) = 0.000042

Pvalue < α ; we reject the Null.

Hence, we can conclude that the mean waiting time of customers vary less, Than 7.2 minutes.

the sum of a number and ten is twenty in algebraic equation​

Answers

Step-by-step explanation:

Let the number be x. Then x + 10 = 20.

This is all you need to write out. But, for practice, find the solution as well.

Answer:

let the number be x

now,

x+10 =20

or,x=20-10

= x=10

Step-by-step explanation:

number = x

sum of number and ten is twenty

so, x +10=20

Find the distance between the two numbers on the number
line.

Answers

Answer:

3 1/2

Step-by-step explanation:

|-7| - |-3 1/2| = 3 1/2

Can somebody help me?

Answers

Answer:

the answer 24 squared

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Add 11 on both sides, therefore getting x is less than or equal to 11.  Now find the graph that fits the description - therefore D.  

Find the equation of a circle that has a diameter with endpoints given by the points
A(-4,1) & B(4,2).

Answers

Step-by-step explanation:

The endpoints of the diameter are A(-4,1) and B(4,2) . For finding the equation of circle we need to find the centre and the radius.

Coordinates of centre can be find out by the midpoint formula.

[tex] \implies Center = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\implies Centre = \bigg(\dfrac{-4+4}{2},\dfrac{1+2}{2}\bigg)\\\\\implies \boxed{\boxed{Centre = (0 , 1.5)}}[/tex]

Now the measure of radius can be obtained by half the distance between them.

[tex]\implies D = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\implies D =\sqrt{ (4+4)^2+(2-1)^2}\\\\\implies D = \sqrt{ 64 + 1 }\\\\\implies D =\sqrt{65} \\\\\implies \boxed{\boxed{ Radius = \dfrac{\sqrt{65}}{2} }}[/tex]

We know the general equation of circle as ,

[tex]\implies (x-h)^2+(y-k)^2= r^2[/tex]

(h,k) is centre r is radius.

[tex]\implies (x-0)^2+ (y-1.5)^2 = \bigg(\dfrac{\sqrt{65}}{2} \bigg)^2\\\\\implies x^2 + (y-1.5)^2=\dfrac{65}{4} \\\\\implies\boxed{\boxed{ 4x^2+4(y-1.5)^2 = 65 }}[/tex]

Morgan needs to earn $16.31 more to have $40.00. Four students wrote and solved equations to find m, the amount of money that Morgan has now. Which student wrote and solved the equation correctly?
Sid’s work:
m minus 16 dollars and 31 cents = 40 dollars. M = 56 dollars and 31 cents.
Sora’s work:
m + 16 dollars and 31 cents = 40 dollars. M = 23 dollars and 69 cents.
Matt’s work:
16 dollars and 31 cents + 40 dollars = m. m = 56 dollars and 31 cents.
Zyad’s work:
16 dollars and 31 cents m = 40 dollars. M = 23 dollars and 69 cents.

Answers

Answer:

Sora's work:m + 16 dollars and 31 cents = 40 dollars. M = 23 dollars and 69 cents. is correct

Answer:

Sora’s work, B on edge 2022! i took the test :)

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