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
mixer [17]
3 years ago
5

orange jelly beans is 82 and that exam scores have an approximately symmetric distribution. She gives orange jelly beans to 25 r

andomly selected students and finds that these students had a sample mean score of 87 with a sample standard deviation of 10. She wants to have 95% confidence in her result. 27. Conduct a hypothesis test using the confidence interval approach. Write your answer on paper and upload a photo or scan, or else put your answer in an electronic file and upload the file. In order to earn full credit your answer must include all of the following: A statement of the confidence interval in a complete sentence using the appropriate statistical symbol. Include two decimal points in your numbers. The statistical criterion you use to determine whether to reject or fail to reject the hypothesis. The result of your test in statistical terms
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 82

For the alternative hypothesis,

µ ≠ 82

This is a 2 tailed test

Since the sample mean and sample standard deviation is given, the t test would be used to determine the test statistic. The formula is

t = (x - µ)/(s/√n)

Where

x = sample mean = 87

µ = population mean = 82

s = samples standard deviation = 10

n = 25

t = (87 - 82)/(10/√25) = 2.5

α = 1 - Confidence level

α = 1 - 0.95 = 0.05

Since α = 0.05, the critical value is determined from the t distribution table.

For the left, α/2 = 0.05/2 = 0.025

For the right of 0.025 = 1 - 0.025 = 0.975

To determine the t score from the t distribution table, we would find the degree of freedom, df and look for the corresponding α value.

df = n - 1 = 25 - 1 = 24

t score = critical value = ±2.064

In order to reject the null hypothesis, the test statistic must be smaller than - 2.5 or greater than 2.5

Since - 2.064 > - 2.5 and 2.064 < 2.5, we would fail to reject the null hypothesis.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

Margin of error = z × s/√n

Where

s = sample standard deviation

z = t score

Margin of error = 2.064 × 10/√25

= 4.13

Confidence interval = 87 ± 4.13

the lower limit of this confidence interval is

87 - 4.13 = 82.87

the upper limit of this confidence interval is

87 + 4.13 = 91.13

You might be interested in
an aquarum has 29 large fish tanks and 1,423 fish need to go into it if the owner wants to split them evenly what is the greates
Shtirlitz [24]
If you divide the number 1423 by 29, you answer will be 49 fish per tank. Hoped this helped
3 0
3 years ago
Use the distance formula in order to classify the to
Travka [436]

Answer:

isosceles

Step-by-step explanation:

d=\sqrt{(4-6)^2+(6-1)^2}\\\sqrt{(-2)^2+(5)^2}\\\sqrt{4+25}\\\sqrt{29}\\\\\sqrt{(6-1)^2+(1-3)^2}\\\sqrt{(5)^2+(-2)^2}\\\sqrt{25+4}\\\sqrt{29}\\\\\sqrt{(1-4)^2+(3-6)^2}\\\sqrt{(-3)^2+(-3)^2}\\\sqrt{9+9}\\\sqrt{18}

8 0
2 years ago
the dimensions of kaly's new cell phone are 6 inches by 8 inches. her phone cost 30 per square inch how much did kayla pay for t
Ostrovityanka [42]

Answer:

1440

Step-by-step explanation:

6 x 8 = 48

48 x 30 = 1440

7 0
2 years ago
Help! Simplify the following expression
Taya2010 [7]

Step-by-step explanation:

1/625×15625

We wil add power 2 as shown in the bracket

It will be 1/390625×244140625=625

3 0
2 years ago
8c=5c+21 What would that be
NemiM [27]
To solve for C, you have to get both of the numbers with a C on the same side.  So, subtract the 5c from the right side onto the left side.

8c = 5c + 21\\8c - 5c = 5c - 5c + 21\\3c = 21

Then, divide by 3 on each side.

3c = 21\\3c /3 = 21/3\\c = 7

So, c = 7.
7 0
3 years ago
Read 2 more answers
Other questions:
  • The Catalog Store has data indicating that, when the price of a CD bookcase is $137, the demand quantity is 56 and the supply qu
    9·1 answer
  • What is the greatest factorization for 24 and 28 to fine their greatest common factor
    15·1 answer
  • Using the formula n3 +1 find the first three terms​
    15·1 answer
  • On the packaging for a triangular sail, the edge measurements for the sail are listed as 7ft x 15ft x 17ft without unfurling the
    7·2 answers
  • a car travels at an average speed of 52 miles per hour how many miles does it travel in 3 hours and 15 minutes​
    12·1 answer
  • X + 2 ½ = 5 ⅔; x = ?
    15·1 answer
  • A music club has 35 drum players. If 25% of the total number of members in the club are drum players what is the total number of
    10·1 answer
  • Help for brainlest!!!!!
    5·1 answer
  • What is the solution of the system
    9·1 answer
  • In the figure; Triangle ABC is isosceles with BC=AC . If ∠A = 70, find the values of x and y . Give reasons for your answer.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!