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
kati45 [8]
3 years ago
8

A researchers wants to determine the mean weight of avocados grown in Southern California. The population from which the sample

is drawn is such that the weight of the avocados is approximately normally distributed for the sample. The size of the sample is 9, the sample mean determined from this sample is 6 ounces, and the sample standard deviation determined from this sample is 0.75 ounces. Help the researcher by determining the 90% confidence interval for the true mean weight of these Southern California avocados. (This problem will be solved after lecture on confidence intervals.)
Mathematics
1 answer:
natka813 [3]3 years ago
4 0

Answer: (0.465, 5.535)

Step-by-step explanation:

Formula to calculate the confidence interval (<em>when population standard deviation is unknown</em>) is given by :-

\overline{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}

, where \overline{x} = sample mean.

s= sample standard deviation.

n= Sample size.

t_{\alpha/2} = critical value

By considering the given information , we have

\overline{x}=6

s=0.75

n= 9

Significance level = \alpha=0.1   [1-0.90=0.1]

By using students' t distribution -table , the critical value for 95% confidence level :

t_{\alpha/2 , n-1}=t_{0.1/2,\ 8}=1.86

[Note: degree of freedom = n-1]

Now, the 90% confidence interval for the true mean weight of these Southern California avocados will be :

6\pm (1.86) \dfrac{0.75}{\sqrt{9}}

6\pm (1.86) \dfrac{0.75}{3}

6\pm (1.86) 0.25

6\pm 0.465=(6-0.465,\ 6+0.465)=(0.465,\ 5.535)

Hence, the required confidence interval  =(0.465, 5.535)

You might be interested in
If sin (x-3)° = cos (2x + 6)°, then what is the value of x?
Travka [436]

Answer:

if sin (x-3) degrees = cos (2x+6) degrees, find the value of x.

----------

Note: sin and cos are complementary functions....

sin(x) = cos (90-x)

-------------------

Your Problem:

sin(x-3) = cos(90-(x-3))

Equation:

90-[x-3] = 2x+6

90-x+3 = 2x+6

3x = 93-6

x = 31-2

x = 29

Step-by-step explanation:

6 0
3 years ago
I would appreciate some help on this if anyone could answer it
Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

yea

7 0
3 years ago
The land area of a country is about 5.0 million square​ miles, and the population is about 600 million people. What is the avera
podryga [215]

Answer:

120 people/sq. mile

Step-by-step explanation:

Population Density is the concept of how "crowdy" a place is. The more the population density, the more crowded that place is.

The population density is found by dividing the "number of people" by the "land area" (in sq mile or sq km).

Here, it is given there are 600 million people, so

Number of People = 600,000,000

And, the land area is given as 5 million square miles, so

Land Area = 5,000,000 sq. miles

Hence,

Population Density = 600,000,000/5,000,000 = 120 people/sq. mile

6 0
3 years ago
Help plz:)))I’ll mark u Brainliest
shepuryov [24]

Answer:

Yes they are congruent by SAS (wrong answer)

Edit: the correct answer is by HL

5 0
3 years ago
Read 2 more answers
Confused on the function and method for this... help me out please.
mezya [45]

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

using the sine ratio in the right triangle.

sin YZX = \frac{opposite}{hypotenuse} = \frac{XY}{YZ} = \frac{7.5}{22.3} , then

∠ YZX = sin^{-1} ( \frac{7.5}{22.3} ) ≈ 19.7° ( to 3 significant figures )

8 0
2 years ago
Other questions:
  • I need help asap<br><br> what is the mode of 63, 70, 75, 80, 85, 85, 85, 92, 92, 95, 99
    6·2 answers
  • How to write a system of inequalities
    9·2 answers
  • If x2 = 40, what is the value of x? (3 points)<br> 1) +80<br> 2) +20<br> 3) ανθο<br> 4) 1940
    5·1 answer
  • Can somebody please help me ?thank youuu
    14·2 answers
  • 4) A man standing on a cliff looks down with an angle of depression of 40 degrees to a boat in
    8·1 answer
  • 99 POINTS! PLZ HELP!!
    8·2 answers
  • 12. Simplify:<br> 5x + 3y - 2y + 3xy + 5xy - 10x
    14·1 answer
  • Use the expression below to answer the following question:
    6·2 answers
  • Help!
    5·1 answer
  • Someone help will mark brainlist and its multiple choice
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!