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
What is the answer to the problem
Tanya [424]

Answer:

a - 8

b - 20

c - 40

answer - 40% of 20 is 8

Step-by-step explanation:

20 x .4 = 8

.4 is found by the 40 / 100

8 0
3 years ago
Read 2 more answers
Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. Write the ratio of red grapes to blueberries
Elena-2011 [213]

Answer: 3:4

Step-by-step explanation: There are 6 red grapes and 8 blueberries. So this would make the ratio 6:8 normally. You want to find the biggest number that goes into 6 and 8, which is 2. You divide both by 2 and get 3:4, since both don't have a big number that goes into both, your answer is 3:4

7 0
3 years ago
Read 2 more answers
Find the outlier of the set of data: 80, 71, 75, 69, 74, 17, 82 A. 82 B. 81 C. 74 D. 17
gogolik [260]
D: 17, it is further from the mean than any other number by far.
7 0
3 years ago
Reduce the fraction completely.96/53
Alex777 [14]
1 43/53 is the answer in a mixed fraction. 
3 0
3 years ago
Read 2 more answers
The five-number summary suggests that about 75% of salons in Janesville have fewer than how many stylists employed?
Archy [21]

The 5 - number summary :

Min____ Q1 ___ median ____ Q3 ____ max

7 ______ 9 _____ 12 _______ 15 _____ 18

Answer:

Hence, from the 5 number summary, about 75% of sons have fewer than 15 stylist.

Step-by-step explanation:

Explaining the table :

Minimum number of stylist salons have = 7

Maximum number of stylist = 18

Q1 = first quartile, (25 /100) ;About 25% of salons have fewer Than 9 stylist

Q2 = second quartile or median ; About 50% of salons have fewer Than 12 stylist

Q3 gives the 75th percentile value.

Q3 = third quartile (75/100) ; About 75% of salons have fewer Than 15 stylist

6 0
3 years ago
Other questions:
  • A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,743. Suppose that a
    13·1 answer
  • In a week, 15 hens laid 75 eggs, what is the unit rate for eggs per hen?
    12·2 answers
  • Corey needs 24 boards that ate 47 1/ 2 inches long. How many feet of boards should he buy. Explain
    5·1 answer
  • What is the maximum value of the function f(x)= 12 - 3sin (3pi/2 x)
    10·2 answers
  • How does tripling the side lengths of a right triangle affect its area?)
    5·2 answers
  • Consider a population p of field mice that grows at a rate proportional to the current population, so that dp dt = rp. (Note: Re
    14·1 answer
  • Square root of -6 times square root of -12 times square root of -5
    11·1 answer
  • Please answer and explain I’ll mark brainliest!!!!!
    7·1 answer
  • The set of all numbers less than or equal to -6 or greater than it equal to -2
    13·1 answer
  • Sally stuffed her backpack full of bird seeds her backpack weighed 7200 g is how many kilograms did her bag weight
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!