**Hypothesis Testing Example****Testing:**- Null Hypothesis (\(H_0\)): \(\mu = 17.4\)- Alternative Hypothesis (\(H_1\)): \(\mu < 17.4\)Your sample consists of 39 subjects, with a mean of 16.6 and a standard deviation of 4.05.**Task:**Calculate the test statistic, rounded to 2 decimal places.**Formula:**\[ t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \]Where:- \(\bar{x}\) = sample mean (16.6)- \(\mu\) = population mean under null hypothesis (17.4)- \(s\) = sample standard deviation (4.05)- \(n\) = sample size (39)**Input Field:**- Enter the calculated \(t\)-value.**Button:**- Submit Question

Given that Sample size n =39 Sample mean=16.6 Standard deviation =4.05Solution:- Test statistic ( t ) t = ( x̄ - μ )∕s/√n = ( 17.4 - 16.6 )∕4.05/√39 =−1.2335798515 t= -1.23 (two decimal)

Answered: Testing: Ho:μ = 17.4 Η: μ < 17.4 Your…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

H0: μ ≤ 16.09 vs. HA: μ > 16.09What is the test statistic for sample of size 25, mean 13.97,and standard deviation 1.48?
Testing:H0:U=9.27H1:U>9.27Your sample consists of 23 subjects, with a mean of 11.6 and standard deviation of 4.86.Calculate the test statistic, rounded to 2 decimal places. t=
Testing:H0:μ=38.5H1:μ<38.5Your sample consists of 35 subjects, with a mean of 38.3 and a standard deviation of 1.93.Calculate the test statistic, rounded to 2 decimal places. t =
Cereals sodium values have a mean of 167 and a standard deviation of 77.3. Find the z-score for the cereal that has a sodium value of 0. How would you interpret this z-score?
che number of assignments to excuse from om the past semester that the number of m d deviation of 4.8 assignments. How many
Testing:H0:μ=4.98H1:μ>4.98Your sample consists of 35 subjects, with a mean of 7 and standard deviation of 4.44.Calculate the test statistic, rounded to 2 decimal places. t=
Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean u = 114 inches and standard deviation a = 15 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 27" percentile of the tree heights. (b) Find the 85 percentile of the tree heights. (c) Find the third quartile of the tree heights. (d) An agricultural scientist wants to study the tallest 2% of the trees to determine whether they have a certain gene that allows them to grow taller. To do this, she needs to study all the trees above a certain height. What height is this?
Compute the range and sample standard deviation for strength of the concrete (in psi). 3920, 4070, 3500, 3100, 2930, 3870, 4070, 4010 The range is S= psi. psi (Round to one decimal place as needed.)
Fill in the Blanks Type your answers in all of the blanks and submit 11. Perform the following.05 level test: Ho: u = 20.4 vs. Ha: µ < 20.4, given a sample of 10 pieces of data had a mean of 18.8 and a standard deviation of 3.4. What is your data value (test statistic) to 3-decimal places? Type your answer here Write out the exact same data value again to 3-decimal places. Type your answer here What is your chart number (that seperates Reject and Fail to Reject)? Type your answer here 8. MacBook Air
The time to complete an exam is approximately Normal with a mean m=39 minutes and Standard deviation o = 3 min. 95% of testing time were between______ minutes and______?__minutes. ___?____% of testing were betweenthe ti 36 and 42 minutes
The human population has a mean IQ score of u = 100 and a standard deviation of o = 15. Find the z- score of a stat student who has an IQ score of 123. Round to 3 decimal places. 1.533 1.118 None of these -1.339 1.779
Claim: The mean systolic blood pressure of all healthy adults is less than than 125 mm Hg. Sample data: For 266 healthy adults, the mean systolic blood pressure level is 124.47 mm Hg and the standard deviation is 15.29 mm Hg. The null and alternative hypotheses are Ho: μ = 125 and H₁: µ< 125. Find the value of the test statistic. C The value of the test statistic is. Round to two decimal places as needed.) ple Get more help - A X Question 6 (0/1) ✓ Question 10 (1/1) Question 7 (0.67/1) 4 Clear all Check answe Question 8 (0.67/1)

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS

Testing: Ho:μ = 17.4 Η: μ < 17.4 Your sample consists of 39 subjects, with a mea and standard deviation of 4.05. Calculate the test statistic, rounded to 2 decim t Submit Question