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
One yard of the fabric costs $5. How much does she pay for all 5 pieces of fabric
solmaris [256]
Assuming a "piece of fabric" is a yard, 5x5 is $25.00.
6 0
3 years ago
Read 2 more answers
MARK AS BRAINLIEST An artist has a block of clay in the shape of a cube. The edges of the cube measure 3 inches. The artist will
Xelga [282]

Answer:

22

Step-by-step explanation:

The volume of a cube is given as:

Cube volume = length × length × length

Since the edges of the cube measure 3 inches, this means that the length of the cube is 3 inches, therefore:

Cube volume = 3 inches × 3 inches × 3 inches = 27 in³

The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.

The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³

The number of pine trees that can be made = Volume of cube / Volume of cone = 27 / 1.178 = 22.9

The number of pine trees = 22

7 0
2 years ago
The radius of a circular track is 0.2 miles. Chloe ran around the track 3 times. How many kilometers did she run? Use 3.14 for p
Ira Lisetskai [31]

Answer:

6 km

Step-by-step explanation:

Start by finding the circumference of the circle

C = 2πr

C = 1.256

Multiply by 3

3.768

Convert to km

3.768 * 1.6 = 6.0288

Round to nearest whole km

6

Sorry if this is late!

4 0
2 years ago
Read 2 more answers
Please helppppp ASAP
zavuch27 [327]

Answer:

for every 1 packet you get 10 plants

for every 1 pound there are 5 cups

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
4. If Mahamat has 36 coins totaling $3.00, and the coins are all nickels and quarters, how many of each coin does he have?​
MakcuM [25]

The answer is 30 i believe :) ♡

6 0
3 years ago
Other questions:
  • 43​% of men consider themselves professional baseball fans. you randomly select 10 men and ask each if he considers himself a pr
    11·1 answer
  • What is the simplest form of√1,764?<br><br> A. 32(72) <br> B. 22(32)(72)<br> C. 21<br> D. 42
    15·2 answers
  • You bought 0.40 lb of spinach for $2.38. how much did the spinach cost per pound?δz
    5·1 answer
  • A ferry needs to transport 2,232 people across the river. The ferry can take 31 people on each trip. How many trips will the fer
    10·2 answers
  • Timothy is the manager of a car wash. Last week, there were 40 customers. This week there were 75% more customers than last week
    5·1 answer
  • Please helppppp !!!!!!!!!!! Will mark correct Brianliest !!!!!!!!!!!!!!
    6·1 answer
  • How to graph y=12-6x
    8·1 answer
  • Raymond is making stir-fry rice for dinner. The recipe says to add 3/4 tablespoon of ground ginger, but he only has a 1/8 tables
    15·1 answer
  • 1. Find the volume of the rectangular prism
    13·2 answers
  • Nora's savings account has a balance of $3979. After 4 years, what will the amount of interest be at 12% compounded semiannually
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!