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
Gnom [1K]
2 years ago
15

The U.S. Department of Transportation provides the number of miles that residents of the75 largest metropolitan areas travel per

day in a car. Suppose that for a simple randomsample of 50 Buffalo residents the mean is 22.5 miles a day and the standard deviation is 8.4 miles a day, and for an independent simple random sample of 40 Boston residents themean is 18.6 miles a day and the standard deviation is 7.4 miles a day.a. What is the point estimate of the difference between the mean number of miles thatBuffalo residents travel per day and the mean number of miles that Boston residentstravel per day?b. What is the 95% confidence interval for the difference between the two populationmeans?
Mathematics
1 answer:
Leya [2.2K]2 years ago
8 0

Answer:

a. The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88

b. The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

Step-by-step explanation:

a. According to the given data we have the following:

Buffalo residents mean=22.5

Standard deviation=8.4

n=50

Boston residents mean=18.6

Standard deviation=7.4

n=40

Hence, the point estimate is the difference of the means=22.5-18.6=3.9

The standard error=√((s1∧2/n1)+((s2∧2/n2))=√((8.4∧2/50)+(7.4∧2/40))=1.67

Therefore, the difference of miles=n1+n2-2=50+40-2=88

The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88.

b. The critical value of t at 95% confidence level and DoF=88 is 1.987

The interval:(x1-x2)+ (critical value* std error)

=3.9-(1.987*1.67),3.9+(1.987*1.67)

Difference between mean=(0.58171,7.21829)

The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

You might be interested in
Volume of a ice cream cone is about 65.94cm^3 if the raduius of the cone is 3cm what is the height of cone
kodGreya [7K]
The volume of a cone is
\pi {r}^{2} (h \div 3)
since V=65.94 and r=3, you just plug it in and solve for h which results to 6.996cm
8 0
3 years ago
There are 26 prize tickets in a bowl,labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen,not
labwork [276]

Answer:

3.1%, dependent event

Step-by-step explanation:

We have that vowel are 5, it is from A, E, I, O, U therefore the probability of drawing a vowel is:

5/26

since there are a total of 26 options to choose from. Then, when selecting that, we are left with 25 options and 4 vowels, therefore the probability would be:

4/25

Therefore the final probability is:

5/26 * (4/25) = 0.031

In other words, selecting a vowel and then another (without replacement) the probability is 3.1%

The events are dependent, since the first event affects the second event, since the number of vowels and the number of total options are reduced.

5 0
3 years ago
Choose the greatest of the four
iragen [17]

Answer:

D 1.33

Step-by-step explanation:

B and C are less than 1

A is one and .30

D is one and .33

33>30

4 0
3 years ago
Read 2 more answers
Which of the following will help you reach long term goals?
deff fn [24]

Answer:

D

Step-by-step explanation:

If you Break the bigger ones into smaller ones they will seem more attainable. Writing down your goals will help you remember. Taking care of resell will help you attain your goals faster and easier

5 0
3 years ago
What is the mass (in grams) of 8.11×1026 CO2 molecules?
Kobotan [32]

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>5</u><u>9</u><u>,</u><u>2</u><u>7</u><u>5</u><u>.</u><u>7</u><u>4</u><u> </u><u>grams</u>

Step-by-step explanation:

• Molecular mass of carbon dioxide

= (12 \times 1) + (16 \times 2) \\  = 12 + 32 \\  = 44 \: g

[ molar masses: C = 12 g, O = 16 g ]

• From avogadro's number, it says 1 mole contains 6.02 × 10^23 molecules or atoms.

But 1 mole is equivalent to its molar mass in terms of weight, therefore;

{ \sf{6.02 \times  {10}^{23}  \: molecules = 44 \: g }}\\  { \sf{8.11 \times  {10}^{26}  \: molecules =( \frac{8.11 \times  {10}^{26} }{6.02 \times  {10}^{23} }   \times 44) \: g}} \\  \\  = { \boxed{ \boxed{ \bf{59275.7 \:  \: g}}}}

6 0
3 years ago
Other questions:
  • There are 5,280 feet in a mile. If Sarah ran 13,200 feet, then how many miles did she run?
    9·2 answers
  • Solve for x. enter your answer in interval notion using grouping symbols. x^2+2x&lt;15
    11·1 answer
  • The distance between Boston and Detroit is 702.Jusn has driven 150 how much farther does he have to drive?
    7·1 answer
  • 11. Given: TQ bisects ZRTP, QS || PT<br> RT = 30. Find QP, RS and QS
    10·1 answer
  • I need to know the answer to this question
    5·1 answer
  • Find the point-slope equation for the line
    7·1 answer
  • Lavinia is standing at point A(4,8, 2). This is the starting point of a mountain hike. The end of the hike is at point B(6, 12,
    9·2 answers
  • The roots of f(x) = 2x2 + 2x - 4 at which x-values?
    13·1 answer
  • a 10 meter piece of wire is cut into two pieces . one piece is 2 meters longer than the other. how long are the pieces ​
    14·2 answers
  • Please help me! I need help with this question.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!