1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
USPshnik [31]
3 years ago
6

Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households i

n 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
Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

The <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-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:

\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

Compute the <em>z</em>-score for the group "25 to 34" as follows:

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

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

\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

Compute the <em>z</em>-score for the group "45 to 54" as follows:

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

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

You might be interested in
A recipe for lemonade calls for 6 cups of lemonade for every 24 cups water. Which equation can be used to find x, the percent of
Gelneren [198K]

Answer:

To make 6 cups, you will need 2 cups of lemon and 4 cups of water....6 total

TWO of the six are lemon    2/6 x 100 = 33.33% Lemon    the rest is water  100-33.33= 66.67% water

OR

FOUR out of the SIX are water    4/6 x 100 = 66.67% Water

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room w
Yuri [45]

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

Entire width of the room = 90 feet = 2a

a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

c = √1125

c = 33.541019662 feet

Approximately to the nearest whole number = 34 feet

Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse

7 0
3 years ago
How many grams are 7.00 x 1022 molecules of NaOH?
olya-2409 [2.1K]

Answer:

46.5

explanation

6.022*10^23 molecules=40g.

7.00*10^23=40*7.00*10^23/6.022*10^23 g =46.5 g

8 0
3 years ago
The width of a rectangular flower shop is 20 feet less than twice the length. The perimeter is more than 70 feet. Which inequali
Schach [20]

Answer:

what is it

Step-by-step explanation:

7 0
3 years ago
Lucky and Ajay are given some money each week.
anyanavicka [17]

The answer seems to be C

4 0
2 years ago
Read 2 more answers
Other questions:
  • A movie theater is offering a special summer pass. Passholders pay $8 per movie for the first 5 movies and watch additional movi
    15·1 answer
  • Match each function with the corresponding function formula when h(x) = 2 – 2x and g(x) = –2 x + 2.
    15·1 answer
  • Someone pls help me I put numbers so it will be more easier
    9·2 answers
  • What is <br> AE?<br> Enter your answer in the box.
    11·1 answer
  • What is the value of x?<br> 70°<br> 35°<br> А. 350<br> В. 950<br> ООО<br> С. 105°<br> D. 75
    11·2 answers
  • I will give brainliest
    10·2 answers
  • Hiiii please help if u can &lt;3​
    8·2 answers
  • How many tiles are there in figure 0?​
    13·2 answers
  • PLEASE HELP IT WOULD MEAN A LOT THX! :(
    10·2 answers
  • The points (2,3) and (5,9) are on the line. What is the equation of the line
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!