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
kupik [55]
3 years ago
7

A survey taken in a large statistics class contained the question: "What's the fastest you have driven a car (in miles per hour)

?" The five-number summary for the 87 males surveyed is: min = 55, Q1 = 95, Median = 110, Q3 = 120, Max = 155 Should the largest observation in this data set be classified as an outlier? No Yes
Mathematics
1 answer:
hjlf3 years ago
3 0

Answer:

NO

Step-by-step explanation:

To find out which observation to classify as an outlier, whether the largest or not, a very good approach or way to do this is to apply the 1.5(IQR) rule.

According to the rule, for finding the largest observation in the data that can be classified as an outlier, we would use the formula = Q3 + 1.5(IQR).

Q3 = 120

IQR = Q3 - Q1 = 120 - 95 = 25

Lets's plug these values into Q3 + 1.5(IQR)

We have,

120 + 1.5(25)

= 157.5

Since our max in the observation is given as 155, the largest observation in the data set cannot be set as an outlier because 157.5 which we got from our calculation is higher than the max value we have in the data set.

Our answer is NO.

However, the smallest observation should be set as outlier because:

Q1 - 1.5(IQR) = 95 - (1.5*25) = 57.5, which gives us an outlier that falls within our data range.

You might be interested in
Which of the following, while appearing negative, might actually be considered an advantage of filing bankruptcy?
Yuri [45]
<span>Which of the following, while appearing negative, might actually be considered an advantage of filing bankruptcy?
a.
inability to get new credit cards
b.
inability to discharge all debt
c.
inability to get a car loan
d.
inability to stop collections by creditors\

The answer is A</span>
4 0
3 years ago
Read 2 more answers
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12
olga_2 [115]

Answer:

27 tiles

Step-by-step explanation:

First, find the total area of the kitchen.

Use the area formula, A = lw

A = lw

A = (9)(12)

A = 108

So, the area of the kitchen is 108 sq ft

Find the area of the square tiles, using the same formula:

A = lw

A = (2)(2)

A = 4

So, the area of one square tile is 4 sq ft

Find how many tiles they will need to buy by dividing the total area by the area of one tile:

108/4

= 27

So, they will need to buy 27 tiles

3 0
2 years ago
Read 2 more answers
1. Knowing that the area of a rectangle and a parallelogram is (base * height), use the given side length and
astraxan [27]

Answer:

51.84sq

Step-by-step explanation:

4 0
3 years ago
Suppose 2 eggs with bacon cost 2.70 . One egg with bacon costs 1.80 . At thesebrates what will bacon alone cost
Leno4ka [110]

If 2 eggs with bacon cost 2.70, and 1 egg with bacon costs 1.80, that means that 1 egg costs 0.90, so when we subtract once more 0.90 we get the price of the bacon alone, which is in this case 0.90.

5 0
2 years ago
The life of a red bulb used in a traffic signal can be modeled using an exponential distribution with an average life of 24 mont
BartSMP [9]

Answer:

See steps below

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

If the random variable X is exponentially distributed and X has an average value of 24 month, then its probability density function is

\bf f(x)=\frac{1}{24}e^{-x/24}\;(x\geq 0)

and its cumulative distribution function (CDF) is

\bf P(X\leq t)=\int_{0}^{t} f(x)dx=1-e^{-t/24}

• What is probability that the red bulb will need to be replaced at the first inspection?

The probability that the bulb fails the first year is

\bf P(X\leq 12)=1-e^{-12/24}=1-e^{-0.5}=0.39347

• If the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months?

Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

but B⊂A, so  A∩B = B and  

\bf P(A | B) = P(B)P(B) = (P(B))^2

We have  

\bf P(B)=P(X>18)=1-P(X\leq 18)=1-(1-e^{-18/24})=e^{-3/4}=0.47237

hence,

\bf P(A | B)=(P(B))^2=(0.47237)^2=0.22313

• If the signal has six red bulbs, what is the probability that at least one of them needs replacement at the first inspection? Assume distribution of lifetime of each bulb is independent

If the distribution of lifetime of each bulb is independent, then we have here a binomial distribution of six trials with probability of “success” (one bulb needs replacement at the first inspection) p = 0.39347

Now the probability that exactly k bulbs need replacement is

\bf \binom{6}{k}(0.39347)^k(1-0.39347)^{6-k}

<em>Probability that at least one of them needs replacement at the first inspection = 1- probability that none of them needs replacement at the first inspection. </em>

This means that,

<em>Probability that at least one of them needs replacement at the first inspection =  </em>

\bf 1-\binom{6}{0}(0.39347)^0(1-0.39347)^{6}=1-(0.60653)^6=0.95021

5 0
3 years ago
Other questions:
  • Solve nonhomogenous equation: x"+4x=cost
    15·1 answer
  • Please help me with his math question ​
    5·1 answer
  • Mr. Hogan's class has 20 students in it. On picture day, 6 students stand in the first row, 5 students stand in the second row,
    14·1 answer
  • Six times the difference of a number and 9 is 54. Find the number.
    15·2 answers
  • the sum of two numbers is 51 . the larger number is 23 more than the smaller number. what are the numbers?
    8·2 answers
  • Resuelve la ecuación de la recta
    9·1 answer
  • Pls help :( &lt;3 thanks
    14·1 answer
  • Is 1,713,646 divisible by 8?
    8·1 answer
  • Makiyha Martin
    8·2 answers
  • Find the perimeter of the triangle, round to the nearest tenth
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!