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
Paul [167]
2 years ago
11

Use this information to answers Questions 1 through 7. The U.S. government provides money to each state to maintain the intersta

te highway system in the state. The U.S. can revoke or reduce the money if the states do not safely maintain the highways. The U.S. government is particularly concerned about the speed of traffic on Kansas highways. If there is convincing evidence that the average speed of all interstate highway vehicles in Kansas exceeds the posted speed limit of 70 mph, the federal government will reduce the amount of funding it provides. If there is not convincing evidence, then the government will not reduce the funding.
Kansas Highway Patrol recorded the speed of 450 interstate vehicles and found the mean speed of 70.2 mph with standard deviation 1.6 mph. The U.S. government will use this information to conduct a hypothesis test at significance level 0.01 to decide whether or not to reduce to money sent to Kansas.

Suppose that mu is the true mean speed of all vehicles on the Kansas interstate highway system.

1. What are the null and alternative hypotheses that the U.S. government should test?
2. What is the value of the test statistic?
Mathematics
1 answer:
vladimir2022 [97]2 years ago
5 0

Answer:

1. Null Hypothesis, H_0 : \mu \leq  70 mph

  Alternate Hypothesis<u>,</u> H_A : \mu > 70 mph

2. Value of test statistics is 2.652.

Step-by-step explanation:

We are given that Kansas Highway Patrol recorded the speed of 450 interstate vehicles and found the mean speed of 70.2 mph with standard deviation 1.6 mph.

We have to conduct a hypothesis test at significance level 0.01 to decide whether or not to reduce the money sent to Kansas.

<em><u>Let </u></em>\mu<em><u> = true mean speed of all vehicles on the Kansas interstate highway system.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq  70 mph   {means that the federal government will not reduce the amount of funding it provides as the speed limit is less than or equal to 70 mph}

<u>Alternate Hypothesis,</u> H_A : \mu > 70 mph   {means that the federal government will reduce the amount of funding it provides as the speed limit exceed 70 mph}

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 limit of 450 interstate vehicles = 70.2 mph

             s = sample standard deviation = 1.6 mph

             n = sample of vehicles = 450

So, <em><u>test statistics</u></em>  =   \frac{70.2-70}{\frac{1.6}{\sqrt{450} } }  ~ t_4_4_9

                               =  2.652

<u><em>Hence, the value of test statistics is 2.652.</em></u>

You might be interested in
Hi! I need help! Thankyou
andrey2020 [161]
For Number 48. Your Number Will Be Letter B

For Number 49. Your Number Will Be Letter B As Well
6 0
3 years ago
Please help me solve this word problem please
leonid [27]

Answer:

it is 69

Step-by-step explanation:

do calculations

8 0
3 years ago
Two number cubes are rolled in a board game. What is the probability that both number cubes land on the same number?
allsm [11]
50% chance they will land on the same number and there’s also a 50% chance they won’t.
5 0
3 years ago
Eric took a test with 15 questions. he answered 2/5 of the questions correctly, how many did he get wrong?
givi [52]

Answer: 9

3/5's of 15 = 9

7 0
2 years ago
Lola takes the train from Paris to Nice. The distance between the two cities is about 900,000 meters. If the train travels at a
Elanso [62]
Nice??? there is a city called nice? anyways, your answer is 5000. hope this helps :)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the first 5 terms of the sequence: an = 4n-1.
    6·1 answer
  • There are 23 tables in the library. Each table has 4 chairs. Third grader fill the chairs at 3 tables. Fourth graders fill the c
    11·2 answers
  • Find the mean, median, and mode of the data set. Round to the nearest tenth. 15, 1, 4, 4, 8, 7, 15, 4, 15, 4, 5
    6·1 answer
  • Find the next three terms of the sequence. 2, 5, 4, 7, 6, ...
    6·2 answers
  • Square ABCD and isosceles triangle BUC are drawn to create trapezoid AUCD. Square A B C D and triangle B U C are attached at sid
    12·2 answers
  • Solve the system of equations using substitution y=-4x+5 y=3x-16
    8·1 answer
  • Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards
    15·1 answer
  • Write an expression to represent the solution, six plus the quotient of a number and four.
    10·1 answer
  • Plz someone help me on this problem 77 ×667
    11·2 answers
  • Consider the end behavior of the function . G(x)=4|x-2|-3 As g(x) approaches negative infinity, approaches infinity. As g(x) app
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!