answer.
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
gizmo_the_mogwai
1 month ago
12

The average sale price (online) for four year old Harley Davidson touring motorcycles is approximately normally distributed with

a mean of $14,000 and a standard deviation of $4,000.
A) Molly has saved up $15,000 to spend on a motorcycle. What proportion of the available motorcycles of this type can she afford?




B) what is the 30th percentile for the prices of motorcycles of this type?




C) show that a motorcycle priced at $25,000 would be considered an outlier by the 1.5 x IQR rule.

Advanced Placement (AP)
1 answer:
vovikov84 [265]1 month ago
6 0

Answer:

A) Molly is able to afford 60% of the motorcycles available.

B) The price at the 30th percentile is $11,920.

C) A motorcycle priced at $25,000 is an outlier because it exceeds $24,792.

Explanation:

Given data:

Mean (μ) = $14,000

Standard deviation (σ) = $4,000.

A) We calculate the standard score Z for x = $15,000 using the standard normal table (see attached figure):

Z = (x - μ) / σ

Z = (15000 - 14000) / 4000

Z = 0.25

Referring to the table, this corresponds to 60%, meaning Molly can buy 60% of the motorcycles.

B) According to the second figure, the 30th percentile Z-value is -0.52, which translates to a price of:

x = μ + Z × σ

x = 14000 + (-0.52 × 4000)

x = $11,920

C) Using the 1.5 × IQR rule, an outlier is any value larger than 1.5 times the interquartile range added to the third quartile.

The third quartile corresponds to Z = 0.6745:

x = 14000 + 0.6745 × 4000 = $16,698

The first quartile corresponds to Z = -0.6745:

x = 14000 - 0.6745 × 4000 = $11,302

Therefore,

IQR = 16698 - 11302 = $5,396

The cutoff for outliers is:

16698 + 1.5 × 5396 = $24,792

You might be interested in
The manager of a vacation resort believes the ages of adult visitors to the resort can be modeled by a normal distribution
Fittoniya [250]

El gerente de un resort vacacional considera que las edades de los visitantes adultos pueden ser representadas mediante una distribución normal. El gerente llevó a cabo una encuesta a una muestra aleatoria de 765 visitantes y registró sus edades. Un resumen de las respuestas se presenta en la tabla de frecuencias, donde x representa la edad del visitante.

(a) Elabore un histograma de la distribución de edades.

(b) Escriba algunas frases para describir la distribución de edades de los visitantes adultos del resort.

(c) ¿Proporciona el histograma evidencia convincente de que las edades encuestadas provienen de una distribución normal? Justifique su respuesta.

Edad (años) Frecuencia

20≤x<30 160

30≤x<40 130

40≤x<50 100

50≤x<60 115

60≤x<70 125

70≤x<80 135

Answer:

Explanation:

a) Un histograma es, en esencia, un gráfico de barras de la información. En este caso, el histograma mostrará las edades en la parte inferior (eje x horizontal) y las alturas de cada barra corresponderán al número en ese rango de edad (frecuencia)... Consulte el archivo adjunto para el histograma

b) Una vez que tenga el histograma, describo la forma general.

¿Tiene forma de campana (con la barra más alta en el medio y disminuyendo a medida que te alejas)?

¿Es rectangular?

¿Es como una curva de campana inclinada?

Su forma da información sobre la naturaleza de los datos que puede ofrecer pistas sobre lo que parece la población.

Dado que tiene forma de una U estirada, se refiere a una relación no lineal entre dos variables, en particular, la edad depende de su frecuencia.

C. No, porque dado que la curva del histograma no tiene forma de campana, no puede ser una distribución normal.

8 0
1 month ago
1) A leopard seal ate a squid. The squid contained 90,000 Calories of energy. How much did the leopard seal obtain?
pickupchik [329]

Answer:

It should be 31500; you can calculate by adding and dividing if needed. A calculator might help! ^^

Explanation:

7 0
1 month ago
What was the main Gilded Age economic concern addressed in the cartoon above?
zhannawk [148]
Hello there!

You are spot on! The correct answer is: B. Currency.

I truly hope this was useful for you. Best of luck with your studies! =)
4 0
1 month ago
A researcher proposes that the obligate parasitic weed requires exposure to a signal from the host plant before it can germinate
Anna [191]
The obligate parasite depends on strigolactones for its seed germination rather than karrikins. The plant emits strigolactone from its roots into the surrounding soil, which stimulates the germination of the parasitic weed's seeds. Thus, strigolactones can aid in the germination and development of the weed.
4 0
16 days ago
Kathy and her brother Clay recently ran in a local marathon. The distribution of finishing time for women was approximately norm
zhannawk [148]

Answer:

Approximately 66% of women who participated in the marathon finished with a time faster than Kathy's (rounded to the nearest whole number)

Explanation:

1. To analyze this correctly, let's go over the provided data:

The average finishing time for women = 259 minutes

Standard deviation of finishing time for women = 32 minutes

Kathy's finishing time = 272 minutes

2. To find the proportion of women who ran the marathon with times less than Kathy's, we will calculate the z-score for her finishing temperature as follows:

z-score = (272 - 259)/32

z-score = 13/32 = 0.41 (rounded to the nearest hundredth)

Using the z-table, we can now determine the proportion of women who completed the marathon in less time than Kathy:

p(z=0.41) = 0.6591

About 66% of women who completed the marathon had a quicker finishing time compared to Kathy's (rounded to the nearest whole)

5 0
12 days ago
Other questions:
  • Dr. Khan works for the marketing department of a company that manufactures mechanical toy dogs. Dr. Khan has been asked to asses
    6·1 answer
  • AP Exam Practice:
    14·1 answer
  • A business journal reports that the probability that Internet users in the United States will use a mobile payment app is 0.60.
    13·1 answer
  • The most impressive astronomical display I've ever seen was ---- a meteor shower ---- aurora borealis.
    11·1 answer
  • My neighbor has an automatic sprinkler system for his front yard. It is activated for 10 minutes each of 2 sessions. There are 1
    6·1 answer
  • Linus is a graduate student who is working on his dissertation. He read an article in the library on age differences in self-est
    10·2 answers
  • Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional
    8·1 answer
  • A major software corporation has decided that its operating system is too difficult for the average user. Who should they hire t
    13·2 answers
  • Amanda wants to become an industrial designer. She wants to learn this specialized skill from an expert in this industry by work
    6·2 answers
  • Compare and contrast the Jackson Era reform philosophies with the Progressive Era philosophies of reform. Identify one specific
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!