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
kolezko [41]
3 years ago
12

In one region of the country, the household credit card debts are approximately normally distributed with a mean of $16,125 and

a standard deviation of $7,875. Find the amount of debt corresponding to 32nd percentile of size-81 means of household credit card debts.
Mathematics
1 answer:
laiz [17]3 years ago
7 0

Answer:

$12424

Step-by-step explanation:

Given that:

Mean (μ) = $16,125, Standard deviation (σ) = $7,875.

The z score corresponding to the 32nd percentile from the normal distribution table is -0.47. That means that the z score of -0.47 = 0.32 = 32nd percentile.

The z score is given by the equation:

z=\frac{x-\mu}{\sigma}, where x is the raw score

Substituting the values and calculating for x:

z=\frac{x-\mu}{\sigma} \\-0.47=\frac{x-16125}{7875}\\ x-16125=-3701.25\\x=-3701.25+16125=12423.75\\

x ≈ 12424

The debt corresponding to the 32nd percentile is $12424

You might be interested in
Find the value of x.
prohojiy [21]
X would be 90° ... every x is 90°
3 0
2 years ago
Helpppppppppp me plz
creativ13 [48]
X+6 > -18+9x
18+6 > 8x
24 > 8x
3 > x
5 0
2 years ago
X
Veseljchak [2.6K]
Sorry fdont really no
3 0
2 years ago
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro
Gnom [1K]

Answer:

A sample of 1068 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of \pi, so we use the worst case scenario, which is \pi = 0.5

Then

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.03}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}

n = 1067.11

Rounding up

A sample of 1068 is needed.

8 0
2 years ago
An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 44 and σ = 5.0. (a) What is
aalyn [17]

Answer:

Step-by-step explanation:

Using normal distribution,

z = (x - μ)/σ

μ= mean = 44 and

σ = standard deviation= 5.0

a) The probability that yield strength is at most 40=

P( x lesser than or equal to 40)

z = (40-44)/5= -0.8

Looking at the normal distribution table,

P( x lesser than or equal to 40) =0.2119

b) P(x greater than 62) = 1 - P(x lesser than or equal to 62)

z = (62-44)/5= 3.6

Looking at the normal distribution table,

P(x greater than 62) = 1 -0.99984

= 0.00016

c)P( 42 lesser than or equal to x lesser than or equal to 62)

= P(x lesser than or equal to 62) - P( x lesser than or equal to 40)

= 0.99987-0.2119= 0.78797

d) What yield strength value separates the strongest 75% from the others.

To get x for strongest 75, we get the z value corresponding to 0.75 from the table

z = 0.675= (x-44)/5

x = 3.375+44 = 47.375

The rest is 25% = 0.25

we get the z value corresponding to 0.25 from the table)

z = -0.67 = (x-44)/5

-3.35= x -44

x = -44+3.35= 40.65

yield strength value that separates the strongest 75% from the others

=47.375-40.65= 6.725

3 0
3 years ago
Other questions:
  • 9u2v and which term are like terms? A.6u2, B.9uv2, C.15u2v, D.13u2v2
    5·2 answers
  • 9 + 3.5g = 11 - 0.5g
    9·2 answers
  • The amount of Jen’s monthly phone bill is normally
    8·1 answer
  • What is 3 times 2+6<br> .......
    13·2 answers
  • What fraction of a circle is 80°?​
    5·2 answers
  • Cho tam giác ABC cân tại A trung tuyến AM.Biết BC=6cm,AM=4cm .Tính độ dài các cạnh AB và AC
    11·1 answer
  • 3) Solve for angle x. Round to the nearest whole number. Write answer in format x = ____ degrees
    15·1 answer
  • Find the unit rate. Enter your answer as a mixed number. 7 1 A fertilizer covers 8 square foot In = hour. The unit rate is squar
    5·1 answer
  • A concession stand uses 1/48 of a package of lemonade mix to make 1/6 gallons of lemonade.
    15·2 answers
  • Please help ill mark brainliest
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!