
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question

Transcribed Image Text:Activity:
Problem Solving.
Read and analyze the given problem then answer the following questions.
1. A random sample of n = 90 is taken from a normally distributed population with a mean of u = 80 and standard
deviation of o = 5. Given the sample mean and standard deviation of x = 77 and s = 3.3 respectively. Solve for test
statistic.
Given:
Solution:
Ho =
2. A student assistant administers an exam for the incoming grade 11 ABM students. Fifteen incoming grade 11 ABM
students were selected randomly, and the results were as follows mean score of 90 with standard deviation of 10. The
population parameters are u = 83 and o = 15.
Given:
Solution:
Ho =
n =
x=

Transcribed Image Text:Illustrative Example 1:
Solve for the test statistic.
The heart rates of 50 patients in an ICU have mean 95.3 beats/min and standard deviation 16.9 beats/min. Are
heart rates from ICU patients unusual given normal heart rate has mean of 72 beats/min with a significance of 0.01?
Given:
Solution:
- normal heart rate
- number of patients being
surveyed
*The sample size of 50 patients is large enough for
the Central Limit Theorem to satisfy the
assumption that the sampling distribution of means
Ho = 72 beats/min.
n= 50 patients
the appropriate test statistic
to use is z-test, since the
distribution is normal, we
can use s as an estimator of
o.
- substitute all the give
(95.3 -72)
(16.9//50)
is normal.
- heart rate of 50 patients
- therefore we will be using
x= 95.3beats/min.
z = 9.75
- test statistic
o = unknown
* Central limit theorem states that for a sample which is
large enough the value of t – test is approximately equal
to the value of z – test as the sample size increases. In
z-test
s= 16.9 beats/min.
- sample standard deviation
- significance level *this will
be essential on our next topic.
a = 0.01
this case we can use s as an estimator of o.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 2 images

Knowledge Booster
Similar questions
- Just need B. These are old practice problemsarrow_forwardA sample of 100 scores has a mean of 58, a variance of 160, and an estimated standard error of 4. Which of these values is guaranteed to increase if the sample size is decreased to 10? a. none of these is likely to be changed very much by decreasing n. b. the value of the variance c. the value of the mean d. the value of the standard errorarrow_forwardChoose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"arrow_forward
- Consider the following data: 7 8 P(X = x) 0.2 0.2 0.2 0.2 0.2 %3D Step 2 of 5: Find the variance. Round your answer to one decimal place. 5.arrow_forwardPart 1. .If b = 0.523, then for every 1 unit increase in the independent variable, there is a 0.523 unit increase in the dependent variable. True or false? 2. .If b = .704, then 70.4% of the variance in the dependent variable can be explained by the variance in the independent variable. In contrast, 29.6% of the variance in the dependent variable can be explained by outside factors. True or false? 3. .If r = 0.444, then for every 1 unit increase in the independent variable, there is a 0.444 unit increase in the dependent variable. True or false?arrow_forwardThe population mean will always be the same as the mean of all possible that can be computed from samples of size 27. True O Falsearrow_forward
- A. 2.1arrow_forwardTime left 0:48:02 Which one of the following choices describes a problem for which an analysis of variance would be appropriate? CA. Analyzing the relationship between high school GPA and college GPA C B. Analyzing the relationship between gender and opinion about capital punishment (favor or oppose). OC. Comparing the mean birth weights of newborn babies for three different hospitals. C D. Comparing the proportion of successes for three different treatments of anxiety. Each treatment is tried on 100 patients CE. None of these Next page US ACTIVITY VA(3) Jump to... MacBook Airarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman

MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc

Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning

Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning

Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON

The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman