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
schepotkina [342]
3 years ago
6

A county is considering rasing the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 m

iles per hour. a random sample of 15 vehicles has a mean speed of 31 miles per hour and a standard deviation of 4.7 miles per hour. at alpha equals 0.10​, do you have enough evidence to support the​ county's claim? complete parts​ (a) through​ (d) below.
Mathematics
1 answer:
DochEvi [55]3 years ago
4 0

Answer:

No, at alpha equals 0.10​, we do not have enough evidence to support the​ county's claim.

Step-by-step explanation:

We are given that a county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour.

A random sample of 15 vehicles has a mean speed of 31 miles per hour and a standard deviation of 4.7 miles per hour.

<em><u>Let </u></em>\mu<em><u> = true mean speed of the vehicles.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq  30 miles per hour   {means that the mean speed of vehicles is lesser than or equal to 30 miles per hour}

<u>Alternate Hypothesis,</u> H_A : \mu > 30 miles per hour   {means that the mean speed of vehicles is greater than 30 miles per hour}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean speed of 15 vehicles = 31 mph

             s = sample standard deviation = 4.7 mph

             n = sample of vehicles = 15

So, <em><u>test statistics</u></em>  =   \frac{31-30}{\frac{4.7}{\sqrt{15} } }  ~ t_1_4

                               =  0.824

<u><em>Hence, the value of test statistics is 0.824.</em></u>

<em />

<em>Now at 0.10 significance level, the t table gives critical value of 1.345 at 14 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 0.824 < 1.345, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>

<em />

Therefore, we conclude that the mean speed of vehicles is lesser than or equal to 30 miles per hour which means that the county's claim is not supported.

You might be interested in
Solve the equation below.<br><br> 1.2m+0.65=5
andrew-mc [135]

Answer:

m = 3.625

Step-by-step explanation:

1.2m + 0.65 = 5

~Subtract 0.65 to both sides

1.2m = 4.35

~Divide 1.2 to both sides

m = 3.625

Best of Luck!

5 0
3 years ago
My sister is crazy about Taylor Swift-and I do mean C-R-A-Z-Y. She is constantly buying magazines and tearing out any page that
matrenka [14]

Answer:

178 pages

Step-by-step explanation:

convert feet to inches

9 x 12 = 108

11 x 12 = 132

108 x 132 = 14256

8 x 10 = 80

14256/80 = 178 with a little left over

4 0
3 years ago
Scarlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.
Crazy boy [7]
It's directly proportional, so
m=kw

Find the value of k
900=k(18)
k= 50

Answer: m=50w
6 0
3 years ago
Read 2 more answers
An internet service provider changes an initial fee of $65 and $18 per hour of labor for office internet installation. Which equ
mart [117]

Answer:

D

Step-by-step explanation:

65 is your "b" value in this linear equation

18 is your slope

3 0
3 years ago
Read 2 more answers
1/2 + 1/4 = how many quarters
Aleksandr [31]

Answer:

3

Step-by-step explanation:

1/2 = 0.5

1/4 = 0.25

1/2 + 1/4

= 0.5 + 0.25

= 0.75

= 75/100

= 3/4

Quarter is 1/4.

3/4 can be written as 3 x 1/4

Hence,

1/2 + 1/4 is 3 times 1/4

1/2 + 1/4 = 3 quarters.

5 0
1 year ago
Read 2 more answers
Other questions:
  • Alana and two of her friends evenly split the cost of a meal. They determine that each person owes $14.68. How much was the enti
    7·2 answers
  • Part A: Solve –vp + 30 &lt; 45 for p. Show your work.
    11·1 answer
  • Triangle ABC is to be translated right 3 units, down 5 units. What are the vertices of the translated triangle? A. A'(0, 9), B'(
    6·1 answer
  • Using the number 686293, what is the value of the digit 8
    5·1 answer
  • A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using
    14·1 answer
  • The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponen
    6·1 answer
  • Find the volume of the composite figure below round your answer to the nearest whole number
    10·1 answer
  • How do you solve -8 + 5x ≥ -13.
    12·2 answers
  • Find the equation of the line <br> (Use exact numbers) <br><br> Y=___x+___<br> Please help
    11·1 answer
  • someone measured the living room of their house and it is 12ft by 16 feet. what will the dimensions of the doll house living roo
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!