Question
In: Statistics and Probability
A standardized test has a scale that ranges from 3 to 45. A new type of...
- A standardized test has a scale that ranges from 3 to 45. A new type of review course for the. test was developed by a training company. The accompanying table shows the scores for nine students before and after taking the review course. Use 0.01 significance level to determine if the average test score is higher for the students after the review course when compared with before the course.
|
Student |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|||
|
Test Scores |
Before |
24 |
20 |
18 |
3 |
19 |
33 |
32 |
21 |
34 |
||
|
After |
26 |
25 |
16 |
36 |
22 |
32 |
23 |
34 |
31 |
|||
|
i. Identify the claim and state the Ho and HI. |
||||||||||||
|
ii. Find the critical value. |
||||||||||||
|
iii. Calculate the test statistic. |
||||||||||||
iv. Make a decision to reject or fail to reject the Ho. (1 Mark)
v. Interpret the decision in the context of the original claim.
Solutions
Expert Solution
Here
the data is on same student before and after review so the data is
dependent. So a paired t test is appropriate.
orchestra answered 2 years agoRelated Solutions
The Dean of Instruction at a local college requested that a new standardized test for an...
The Dean of Instruction at a local college requested that a new
standardized test for an introductory statistics course be
developed with the requirement that it should have µ = 100 and σ =
10. A class of 30 students complete the new test with a mean grade
of 95. Conduct a hypothesis test at α = .05 to determine whether
the claim that µ = 100 can be supported. Use the p-value
approach and complete the following to show...
The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized...
The Stanford-Binet Intelligence Scale is an intelligence test,
which, like many other IQ tests, is standardized in order to have a
normal distribution with a mean of 100 and a standard deviation of
15 points.
As an early intervention effort, a school psychologist wants to
estimate the average score on the Stanford-Binet Intelligence Scale
for all students with a specific type of learning disorder using a
simple random sample of 36 students with the disorder.
Determine the margin of error,...
The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized...
The Stanford-Binet Intelligence Scale is an intelligence test,
which, like many other IQ tests, is standardized in order to have a
normal distribution with a mean of 100 and a standard deviation of
15 points.
As an early intervention effort, a school psychologist wants to
estimate the average score on the Stanford-Binet Intelligence Scale
for all students with a specific type of learning disorder using a
simple random sample of 36 students with the disorder.
Determine the margin of error,...
The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized...
The Stanford-Binet Intelligence Scale is an intelligence test,
which, like many other IQ tests, is standardized in order to have a
normal distribution with a mean of 100 and a standard deviation of
15 points.
As an early intervention effort, a school psychologist wants to
estimate the average score on the Stanford-Binet Intelligence Scale
for all students with a specific type of learning disorder using a
simple random sample of 36 students with the disorder.
Determine the margin of error,...
3. Find the rejection region (for the standardized test statistic) for each hypothesis test. Identify the...
3. Find the rejection region (for the standardized test
statistic) for each hypothesis test. Identify the test as
left-tailed, right-tailed, or two-tailed.
H0:μ=141H0:μ=141 vs. Ha:μ<141Ha:μ<141 @
α=0.20.α=0.20.
H0:μ=−54H0:μ=−54 vs. Ha:μ<−54Ha:μ<−54 @
α=0.05.α=0.05.
H0:μ=98.6H0:μ=98.6 vs. Ha:μ≠98.6Ha:μ≠98.6 @ α=0.05.α=0.05.
H0:μ=3.8H0:μ=3.8 vs. Ha:μ>3.8Ha:μ>3.8 @ α=0.001.
A new, simple test has been developed to detect a particular type of cancer. The test...
A new, simple test has been developed to detect a particular
type of cancer. The test must be evaluated before it is put into
use. A medical researcher selects a random sample of
1,000
adults and finds (by other means) that
3%
have this type of cancer. Each of the
1,000
adults is given the test, and it is found that the test
indicates cancer in
97%
of those who have it and in
2%
of those who do not....
The duration of Alzheimer’s disease from onset of symptoms to death ranges from 3 to 20...
The duration of Alzheimer’s disease
from onset of symptoms to death ranges from 3 to 20 years with a
mean of 8 years and standard deviation of 4 years. Suppose a
medical administrator selects a random sample 36 diseased
Alzheimer’s patients, and records the duration of each patient.
a. Give the properties of the sampling
distribution for the sample mean duration.
b. Find the probability the sample
mean duration will be less than 6 years.
c. Find the probability the...
An intelligence quotient, or IQ, is a measurement of intelligence derived from a standardized test such...
An intelligence quotient, or IQ, is a measurement of
intelligence derived from a standardized test such as the Stanford
Binet IQ test. Scores on the test are normally distribution with a
mean score of 100 and a standard deviation of 15.
a. Draw 1000 samples of size n=9 from the distribution of IQ.
Calculate the sample mean of all 1000 samples.
b. Draw the histogram for all sample means in (a). What is the
shape of the sample means?
c....
Suppose a new standardized test is given to 97 randomly selected third-grade students in New Jersey....
Suppose a new standardized test is given to 97 randomly
selected third-grade students in New Jersey. The sample average
score Upper Y overbarY
on the test is 56 points and the sample standard deviation, s
Subscript Upper YsY, is 10 points. The authors plan to
administer the test to all third-grade students in New Jersey.
1. The 95% confidence interval for the mean score of all New
Jersey third graders is (round to two decimal places).
2. Suppose the same...
Assume that on a standardized test of 100 questions, a person has a probability of 80%...
Assume that on a standardized test of 100 questions, a person
has a probability of 80% of answering any particular question
correctly. Find the probability of answering between 70 and 80
questions, inclusive. (Assume independence, and round your answer
to four decimal places.)
P(70 ≤ X ≤ 80) =
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Asteroids can be classified into two broad groups based on their composition and location: carbon-rich asteroids...
- 5._____ Which of the following statements about MBO is FALSE? A) It compares quantifiable target goals...
- Trust, or lack of trust, is an increasingly important issue in today’s organizations.71 In today’s uncertain...
- In this programming assignment, you will write C code that performs recursion. For the purpose of...
- Suppose you purchase one WM May strike=102 call contract at $5 and write one WM May...
- The three call options issued by Tesla Inc are listed below. Suppose that the current price...
- 1. Explain why times of economic distress caused classical liberalism to fall out of favor.
ADVERTISEMENT