An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was interested in investigating the proportion of the new cars that experienced a mechanical problem within the first 5,000 miles driven. a) A list of the names and addresses of all customers who bought the new cars is available. Each customer from a simple random sample of 1,000 customers who bought one of the new cars was asked whether they experienced any mechanical problems within the first 5,000 miles driven. 400 customers from the sample reported a problem. Of the 400 customers who reported a problem, 140 customers, or 32.5%, reported a problem specifically with the power door locks. Explain why 0.35 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven.

Answers

Answer 1

Answer:

The reason that 0.35 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven is that 0.35 does not represent the sample proportion.

The correct sample proportion is 0.14 (140/1,000) and not 0.35 (140/400).  It is this that can be used to estimate the population proportion and not 0.35.

Step-by-step explanation:

a) Data and Calculations:

New cars sold by the automobile manufacturer = 30,000

Number of customers that the 30,000 new cars were sold to = 30,000

Simple random sample = 1,000 customers

Number of customers from the SRS that reported a problem = 400

This is equal to 40% of the sample (400/1,000 * 100)

Proportion of customers who reported a problem (specifically) with the power door locks = 140/400 = 0.35

Proportion of customers out of the sample that reported specifically a problem with the power door locks = 140/1000 = 0.14.


Related Questions

The price of an item has been reduced by 80%. The original price was $25. What is the price of the item now

Answers

Answer:

$5

Step-by-step explanation:

25-80%=5

A school event requires at least 3 parents for every 8 kids. How many parents for 40 kids



Answers

Answer:

15 parents

Step-by-step explanation:

40 / 8 = 5. 5 x 3 (# of parents for every 8 kids) = 15. Therefore, there must be at least 15 parents for 40 kids. Hope this helps!

(9x+5)-(6x-8) please help.​

Answers

Answer:

3x-3 i think

Step-by-step explanation:

9x-6x = 3x 5-8 = -3

(9*+5)-(6*-8)=93 think me later

x^2+24x+c

I need help​

Answers

Answer: c=144

Step-by-step explanation:

Polygon ABCD has the following vertices:

A(−4, 2), B(3, 2), C(3, −5), and D(−4, −2)

Calculate the area of the polygon.

28 units squared
38.5 units squared
40.5 units squared
49 units squared
get it right because i can check and i'll not give you brainlyest
:)

Answers

To be able to solve clearly this problem, the best thing to do is to plot the graph (see attached pic). From the graph we can see that the points form a trapezoid.

The base is formed by the segment connecting point A and point B.

While the two heights: shorter one by the segment connecting points A and D, and the longer one by the segment connecting points B and C.

The formula for area of trapezoid is given as:

A = b (h1 + h2) / 2

Where,

b = base of the trapezoid  = 3 – (-4) = 7

h1 = shorter height = 2 – (-2) = 4

h2 = longer height = 2 – (-5) = 7

Therefore the area is:

A = 7 (4 + 7) / 2

A = 77 / 2

A = 38.5

2865 students participated in a competitive exam. There were 60 rooms in the
university. Equal number of students were placed in each room. How many students
were not seated in any one of the rooms?

Answers

47 students per room, 45 weren’t in a room

This equation shows how the cost of a cab ride depends on the distance in miles. C = d + 2 The variable d represents the number of miles driven, and the variable c represents the cost in dollars. How long is a cab ride that costs $7?​

Answers

I think it is 5 miles since 5+2=$7

The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?

Answers

Answer:

Smaller

Step-by-step explanation:

Example: say the original size is 100

increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120

reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is  96.

100>96

Select the correct answer.

The branch manager of a clothing store is analyzing the average total bill of sale for his location. The national manager has communicated that

the overall population mean is $45.90 with a standard deviation of $10.3.1. The branch manager has a sample of 400 total bills of sale for his

location. By the central limit theorem, which interval can the branch manager be 95% certain that the sample mean will fall within?

Answers

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Mean $45.90, standard deviation $10.31.

Sample:

By the Central limit theorem, mean $45.90, standard deviation [tex]s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155[/tex]

Which interval can the branch manager be 95% certain that the sample mean will fall within?

By the Empirical Rule, within 2 standard deviations of the mean. So

45.90 - 2*0.5155 = $44.87

45.90 + 2*0.5155 = $46.93

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

PLEASE HELP IM BEGGING PLEASE!!!!!!!!!!

Answers

Answer:

1. C.

2. B.

Step-by-step explanation:

Hope This Helps!!! : )

he line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. What is the value of "a"?

A. -2
B. -1
C. 2

Answers

9514 1404 393

Answer:

  C. 2

Step-by-step explanation:

When the coefficients of the standard-form quadratic are a, b, and c, the equation of the line of symmetry is ...

  x = -b/(2a)

Solving for 'a', we find ...

  a = -b/(2x)

For the given values b=-8 and x=2, the value of 'a' is ...

  a = -(-8)/(2·2) = 8/4 = 2

The value of "a" is 2.

How many groups of 10 are in 60?

Answers

Answer:

6

Step-by-step explanation:

10, 10, 10, 10, 10, 10. Those are 6 tens

Cos 315°=what?????????????

Answers

cos 315 degrees=0.70710678118 if you want the fraction it is 70710678118/
100000000000

Answer:

√2/2 or 0.70710678118

Step-by-step explanation:

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

simplify the fraction completly
60/100

Answers

Answer: 3/5

Step-by-step explanation: simplified completely

Answer:

35 is the simple answer for this fraction

use a common denominator
What does 1/9 equal?

Answers

Answer:

2/18

Step-by-step explanation:

because i multiplied 1/9 by 2

Kimani says that the slope of the line between points B and C is greater than the slope of the line between points A and B .

Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B.

Answers

Answer:

Kiara is correct

.............

Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the figure

Slope between A and B = rise/ run 3/3 = 1

and, slope between B and C = 5/5 = 1

So, the slope between A and B is same as the slope between B and C.

Hence, Kiara has correct statement.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

PLEASE HELP I’LL GIVE BRAINLIEST TO WHO EVER ANSWERS FIRST CORRECTLY

Use the rational zeros theorem to list all possible rational zeros of the following.

h(x)=-3x^4+5x^3-8x^2-3x+2

Be sure that no value in your list appears more than once.

Answers

Answer:

Step-by-step explanation:

[tex]h(x)=-3x^{4} +5x^{3}-8x^{2} -3x+2[/tex]

roots:±1, ±[tex]\frac{1}{3}[/tex], ±2, ±[tex]\frac{2}{3}[/tex]

(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D

Answers

Answer:

2 2/5

Step-by-step explanation:

3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5

Answer:

3/10 of the pizza is given to each person

Step-by-step explanation:

total number of people= 10

number of pizzas=3

as a fraction, this would be 3/10

you can also use this as 30 out of 100 if that's easier to understand.

Hope this helps ༼ つ ◕_◕ ༽つ

what is the slope intercept form of 7x-5y=15?​

Answers

Answer:

y=7/5x-3 is the slope intercept form

charlie wants to make a one time investment into an account that earns 6% interest compounded semi annually. to earn $338,893 after 26 years, approximately how much money did he invest?
[tex]s = p(1 + \frac{r}{m} ) {}^{mt}[/tex]
A.$72,866.33
B.$74,492.08
C.$528,673.08
D.$217,239.10​

Answers

Answer:

PV= $72,866.33

Step-by-step explanation:

Giving the following information:

Interest rate= 6% compounded semiannually

Number of periods= 26*2= 52 semesters

Future value= 338,893

To calculate the initial investment (PV), we need to use the following formula:

PV= FV/(1+i)^n

i= 0.06/2= 0.03

PV= 338,893 / (1.03^52)

PV= $72,866.33

Answer:

The correct answer is $72,866.33

I will give the BRAINIEST

Simplify. Write your answer in standard form.

(4x^3+6x-7)+(3x^3-5x^2-5x+9)



Answers

Answer:

Step-by-step explanation:

Combine like terms.Like terms have same variable with same exponent

4x³ + 6x - 7 + 3x³ - 5x² - 5x + 9 = 4x³ + 3x³ - 5x² + 6x - 5x  - 7 + 9

                                                  = 7x³ -5x² + x + 2

Why is 16 the answer to 10. x / 2 - 5 = 3? I need an answer today.

Answers

Hi there!

[tex]\large\boxed{x = 16}[/tex]

x / 2 - 5 = 3

Begin by adding 5 to both sides to isolate for x:

x / 2 - 5 + 5 = 3 + 5

x / 2 = 8

Multiply both sides by 2 to have "x" alone on the left-hand side:

(x / 2) × 2 = 8 × 2

x = 16

Answer:

because if x is 16

16/2 = 8 and so on 8 - 5= 3 so that is the answer

Step-by-step explanation:

Convert to militers
6 liters
OA 60,000 mililiters
OB. 6,000 mililiters
OC 600 milliliters
OD. 6 milliters

Answers

Answer:

B. because 6×1000 = 6000

The quotient obtained when (9 greater than x) is divided by (z plus 1)

Answers

9>x/z+1? I hope this helps!

Brayden can type 270 words in 3
minutes. How many words per
minute can Brayden type?

Answers

Answer:  90 words per minute

====================================================

Work Shown:

270 words : 3 minutes

270/3 words : 3/3 minutes ..... divide both parts by 3

90 words : 1 minute

Brayden can type 90 words per minute (wpm).

The Jordan's Michael wanted were on sale for 20% off. The original price of the sneakers is $185.00. How much is the sale?​ Show your work

Answers

The price will be $148. $185 - 20% =$148.

As a salesperson for an electronic parts distributor, you are given two options for your salary structure. The first option has a base salary of $300 a week plus 4% of all sales made. The second option has a base salary of $100 plus 7.5% commission on all sales. Find the sales amount that will result in the two options having the same weekly salary.

Answers

Answer:

The amount of sale is approximately 5714.

Step-by-step explanation:

Let x be the sales made that will result to the same salary and let y be the same weekly salary.

We can represent both salaries as follows:

300 + 0.04x = y

100 + 0.075x = y

Subtracting the second equation from the first, we have:

200 – 0.035x = 0

0.035x= 200

x = 200/0.035

x ≈ 5714.

Therefore, the amount of sale is approximately 5714.

Lesson 3.4 different forms of liner
Equation
How do you solve it?

Y=2+3(×-1)

Answers

What are you trying to solve for?

What is the approximate distance from one corner of the soccer field to the opposite corner?
60
yards
9.6
100 yards

Answers

The answer is 160 because you add the two together

Answer:

I think Your best answer would be 117 yards.

Step-by-step explanation:

Value of X makes equation true -75 = -50+ X

Answers

Answer:

x = -25

Step-by-step explanation:

Hi there!

In order to solve this, add 50 to both sides to isolate x.

x = -25

Hope this helps!

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