Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households in the region spend in restaurants annually. The employees are looking at how the amount spent annually in restaurants by households led by people ages 25 to 34 compares to households led by people ages 45 to 54. To conduct the research, the employees randomly select 12 households in the region led by people ages 25 to 34 and 12 households in the region led by people ages 45 to 54. Each household is asked how much was spent in restaurants during the previous 12 months. The amounts spent for each household, in dollars, are provided in the samples below. One household in each group spent $1,851 in restaurants during the previous 12 months. Calculate the z-score for the household that spent $1,851 for each group. Use a TI-83, TI-83 plus, and TI-84 calculator.
Round your answers to two decimal places.
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158

Answer:

The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34              45 to 54

  1329                    2268

  1906                    1965

 2426                     1149

  1826                     1591

  1239                    1682

   1514                     1851

  1937                     1367

  1454                    2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01[/tex]

Compute the z-score for the group "25 to 34" as follows:

[tex]z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37[/tex]

Compute the mean and standard deviation for the group "45 to 54" as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39[/tex]

Compute the z-score for the group "45 to 54" as follows:

[tex]z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25[/tex]

Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Write an equation for a line parallel to y = 5x + 1 and passing through the point (3,11)

What is the slope intercept form for this?
Slope= -1 Y intercept= 8

Why did I get this wrong?

Simplify (1/2 pt each)

-2^3=

8^2=

9^-1=

(-4)^-2=

HELPP PLSSS

match the monomer to the correct macromolecule
​

The graph shows the balance of an account that is earning interest over time. In which year was the account balance about $150? ​

A group of students are given three problems to solve
(Problem A, B and C.)
13 students solve problem A, 17 solve problem B
and 7 solve problem C.
9 solve problems A and B.
6 solve problems B and C.
5 solve problems A and C.
4 solve all three problems.
2 solve none of the three problems.
How many students are there altogether.​

A stadium has 55,000 seats . Seats sell for $28 in Section A

Can someone help me with this math problem 34.2 divided by 7.6

if a coin is flipped 4 times what is the probability of it landing on heads 3 times and tails 1

There are 5 times asmny yellow labs as terriers in the dog park. If there are a toal of 24 dogs,how many dogs are terriers? Complete the equation and solve.
24=

Which term completes the product so that it is the difference of squares?
(-5x-3)(-5x+______)
-9
-3
3
9
PLEASE HELP:)

Tim's holds a fishing line at the surface of a lake, and it sinks 10 feet below the surface of the water. Tim then pulls the lure up 4 feet.which of the following statements about this situation are true?select all that apply

Find the volume common to two spheres, each with radius r, if the distance between their centers is r/2. [Hint: It may be helpful to look at the previous question and see how it relates to this one. ] intersectingspheres

IM GIVING AWAY 20 POINTS!!!
In the first paragraph, why is the phrase "little mountain escape" in quotation
marks?
O to stress the fact that the Biltmore was to provide a vacation spot for friends
to indicate that the Biltmore was built in the midst of the mountains
to highlight the goal the Vanderbilt's had in building the Biltmore
to provide a contrast to the actual enormity of the Biltmore

Haper is saving money to buy a new camping tent. Each week he double the amount he saved the previous week. If he saved 1$ the first week how much will he save in 7 weeks

what is the area of a rectangles with the side lengths 5 inches and 4/3 inches?​

Please help ASAP
Thank you

If 120 customers have bought tickets today, how many free tickets has the manager given away

if Billy has three and four fifths of cake and Sam eats 2/3 of it how much cake does Billy have left ​

9x - 4= 2x + 3
-—-——-—-

please help me i give brainliest

Which relation is not a function?
Please help it is a quiz and I really need help! 5:06pm est answer as fast as you can!

Which rotation will carry a regular pentagon onto itself?

A.
216o

B.
120o

C.
50o

D.
60O

Country A is ten to the third power times greater than Country B. Country A has a population of 230,000,000. What is the population Of Country B. Help Pls

What is 1 hundredth ÷ 10?
1 hundredth ÷ 10 =

PLEASE HELP!!! I DON’T KNOW THISSS, DUE RLLY SOON

Jenny has only 3 1/2 cups of flour in her house. She needs 1 5/8 cups for a brownie recipe. Her sister Jody needs 1 3/4 cup flour for her cookie recipe. Will there be enough flour for both recipes?

A line has a y-intercept of 4 and a slope of 7. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

49.67 to the nearest ten

--0.5x – 3 = 4 anybody know the awnser what does x =