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
lesantik [10]
3 years ago
6

One way to measure whether the trees in the Wade Tract are uniformly distributed is to examine the average location in the north

-south or the east-west direction. The values range from 0 to 200, so if the trees are uniformly distributed, the average location should be 100, and any differences in the actual sample would be due to random chance. The actual sample mean in the north-south direction for the 584 trees in the tract is 99.74. A theoretical calculation for uniform distributions (the details are beyond the scope of this course) gives a standard deviation of 58. Carefully state the null and alternative hypotheses in terms of the true average north-south location. Test your hypotheses by reporting your results along with a short summary of your conclusions.
Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

Answer:

Null hypothesis be H₀ : μ = 100

Alternative hypothesis Hₐ : μ < 100

There is sufficient statistical evidence to suggest that the average location of Wade Tract is 100

Step-by-step explanation:

Here we have;

Let our null hypothesis be H₀ : μ = 100 Average location of trees in the Wade Tract is 100

Our alternative hypothesis becomes Hₐ : μ < 100 at 95% confidence level

Proposed average location in Wade Tract, μ = 100

Sample mean, \bar x = 99.74

Standard deviation, s = 58

Sample size, n = 584

The t test formula is therefore;

t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}}

Therefore, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025

We have t_{\alpha /2} = -1.65

Plugging in the values into the t test formula, we have t = -0.108338, from which the p-value is given as p = 0.4569 which is much more than the value of α, therefore, we accept the null hypothesis as follows;

There is sufficient statistical evidence to suggest that the average location of Wade Tract = 100.

You might be interested in
You randomly select one card from a 52 card deck. Find the probability of selecting the eight of hearts or the seven of clubs.
givi [52]

Answer:

2/52 is the answer of this question

4 0
3 years ago
The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an equation that could be used to find how
morpeh [17]
Equation: 0.93 = 0.42 + 17x
6 0
2 years ago
Read 2 more answers
4x+4 =<br> What is the answer to this please help
maw [93]

Answer:4(x+1)

Step-by-step explanation:

4x+1

3 0
2 years ago
What is the minimum of 531, 469, 573, 206, 374, 421, 505, 489, 702
nadezda [96]

Answer:

The minimum value is 206.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
1.)Solve the absolute value equation.
german

Answer:

B.  x = -1 or x = 4 1/3.

Step-by-step explanation:

2|3x -5| -8 =8

2|3x -5| = 16

|3x -5|  =  8

The expression in the vertical lines can be positive or negative so we have 2 equations:

3x - 5 = 8 and 3x - 5 = -8

3x - 5 = 8

3x = 13

<u>x = 13/3 or 4 1/3</u>

3x - 5 = -8

3x = -8 + 5 = -3

x = -1.

3 0
3 years ago
Other questions:
  • A doctor has an annual income of $152,125. The income tax the doctor has to pay is 6% , what is the amount of income tax in doll
    15·2 answers
  • a caterer received an order to prepare 120 servings of salad for a banquet. Each serving will weigh 4 ounces. so far the caterer
    15·1 answer
  • Which of the points A(5, −3),B(−2, 4), C(0, 0),D(2, 1), E(−5, 2.5) belong to the graph of y= 1 2 x?
    8·2 answers
  • The circle below has center C, and its radius is 5 in. Given that m
    8·1 answer
  • you have a set of 10 cards numbered 1 to 10. you choose a card at random. Event A is choosing a number less than 7. Event B is c
    15·2 answers
  • What is the solution to 3.25k + 1 - 4.25k = -2
    11·2 answers
  • Ciara, an ornithologist, has 444 bird feeders at separate locations. She wonders if birds are equally likely to visit each of th
    6·1 answer
  • Estimate the following square roots
    6·1 answer
  • (x-5y,-3):(1,3y-x) find value of x and y<br>Please help me to solve thiss!!​
    6·1 answer
  • Solve <br><br>14+3h = 5h<br>h= .....​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!