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
Jlenok [28]
3 years ago
13

In the late 2000's sales of SUVs decreased due to higher gas prices and improved alternative vehicles. A car dealer is intereste

d whether it takes more days to sell SUV's vs. small cars. He gathers data from a sample of the most recent couple of months of sales and calculates that the he sold 18 SUV's with an average number of days to sale of 95 and a standard deviation of 32 days. For small cars, he sold 38 of them in an average of 48 days with a standard deviation of 24 days. The dealer wants to estimate how much longer it takes to sell an SUV vs. a small car by constructing a 95% confidence interval. 1. The facts of this problem are:
Mathematics
1 answer:
Tems11 [23]3 years ago
8 0

Answer:

1. The facts are;

\overline x _1 = 95 days

s₁ = 32 days

n₁ = 18 SUV's

\overline x _2 = 48 days

n₂ = 38 small cars

s₂  = 24 days

The confidence level = 95%

The confidence interval is (29.55,  64.45)

Step-by-step explanation:

The facts of the problem are;

The number of SUV's he sold, n₁ = 18 SUV's

The average number it took to sell the 18 SUV's, \overline x _1 = 95 days

The standard deviation of the time it took to sell the 18 SUV's, s₁ = 32 days

The number of small cars he sold, n₂ = 38 small cars

The average number it took to sell the 38 small cars, \overline x _2 = 48 days

The standard deviation of the time it took to sell the 38 small cars, s₂  = 24 days

The 95% confidence interval is given as follows;

Using a graphing calculator, we get, the critical-t, t_c = 2.055529

\left (\bar{x}_1-\bar{x}_{2}  \right ) \pm t_{c} \cdot\sqrt{\dfrac{s _{1}^{2}}{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}

\left (95-48  \right ) \pm 2.055529 \times \sqrt{\dfrac{32^{2}}{18}+\dfrac{24^{2}}{38}}

We get C.I. = 29.55259 < μ₁ - μ₂ < 64.44741

∴ C.I. ≈ 29.55 < μ₁ - μ₂ < 64.45

You might be interested in
Convert the following repeating decimals to
adoni [48]
16/99

8/9

2/9

do the last three have a decimal in the start?
3 0
2 years ago
3x + 5= -1 <br> Ayuda xddddd
bija089 [108]

Answer: x = -2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLEASE NEED HELP
expeople1 [14]

Answer:

D) 96%

Step-by-step explanation:

If you take 96% of 28.6 you get 27.6 so it fits

4 0
2 years ago
I need help with geometry
swat32

Answer:

6m

Step-by-step explanation:

Set up a proportion:

x/1.5=10/2.5

Cross multiply:

15/2.5=2.5x/2.5

x=6

The palm tree is 6m tall.

Hope this helps!

7 0
3 years ago
(30 POINTS) The 20% off sale is a better deal than the $200 rebate or $150 coupon for the $1,500 dining set. The Porters budgete
Ratling [72]
<span>Yes, the Porters are under budget. The 20% off sale is the best deal because $1,500 times 0.20 is $300. $300 is a bigger discount than the $150 coupon and $200 rebate. $300 off $1,500 is $1,200, which is less than the amount budgeted.</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • -7x + 2y = 18<br> 6x+6y=0
    13·1 answer
  • Robert needs to cut four shelves from a board that is 2.5 meters long the second shelf 18 centimeters longer than twice the leng
    10·1 answer
  • a standard piece of paper is 0.0038 in. thick. How many times would you have to fold it in half for the piece of paper to be thi
    13·1 answer
  • On an airplane there are three seats on the left side in each row and two seats on the right side there are 45 seats total on th
    13·1 answer
  • Someone please help<br>Domain:<br>Range:<br>Function (yes/no)​
    6·1 answer
  • Which equation represents the hyperbola (y -2)^2/4 - (x-2)^2/9=1<br> in general form?
    8·1 answer
  • Which choice is equivalent to the expression below?​
    6·2 answers
  • If the value of 2x3 is 2, then what is the value of x?<br><br> A.1/3<br> B.1/2<br> C.1
    15·1 answer
  • The point (4, 5) is translated two units left and eight units down. What is the
    14·2 answers
  • Use the diagram below to Identify pairs of angles that are<br><br>​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!