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
The null and alternate hypotheses are:
H0: μ1 ≤ μ2
H1: μ1 > μ2
A random sample of 25 items from the first population showed a mean of 106 and a standard deviation of 12. A sample of 15 items for the second population showed a mean of 104 and a standard deviation of 6. Assume the sample populations do not have equal standard deviations and use the 0.10 significant level.
a. Find the degrees of freedom for unequal variance test round the answer down to the nearest whole number.
b. stated decision role for the 0.10 significant level round the answer to three decimal places
c. Compute the value of the test statistics round your answer to three decimal places
d.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
Knowledge Booster
Similar questions
- A sample is selected from a population with a mean of u = 80 and a standard deviation σ = 20. What is the Standard Error of Mifn=16? 1.25 5 4.5arrow_forward. A random sample is obtained from a population with a mean of µ = 45. After a treatment is administered to the individuals in the sample, the sample is M = 49 with a standard deviation of s = 12. For a sample size of n = 9. Compute r2 and the estimated Cohen’s d to measure the size of the treatment effect. How effective was the treatment?arrow_forwardhe mean and standard deviation of a random sample of n measurements are equal to 34.1 and 3.5, respectively. a. Find a 99% confidence interval for μ if n=144. b. Find a 99% confidence interval for μ if n=576.arrow_forward
- Consider a population with a mean of 150 and a standard deviation of s = 27. A random sample of 36 was taken from this population. Then the standard deviation of X-bar is:arrow_forwardA school district claims that the average salary of elementary school teachers in their district is more than the national average of $42,000. A sample of 30 elementary school teachers from that district have a mean salary $43,260. The standard deviation for the population is $5,230. At α = 0.05, test their claim that teachers in their district earn more than $42,000 per year.arrow_forwardThe average dues paid by students at state universities across the country were $2236 per student last year. The average for a random sample of 500 students this year is $2350. Given the following hypotheses, Ho: 4 = 2236 (The average fees are the same as last year.) Ha: M + 2236 (The average fees are not the same as last year.) compute the p-value for the sample result. Assume the population standard deviation is $724. If the significance level is 5%, can the null hypothesis be rejected?arrow_forward
- If the t-statistic for a single sample t-test is 1.58, what can you conclude? a. The test is significant at an alpha level of .05. b. The sample size of the test was at least 30. c. The sample mean was larger than the population mean. d. The population standard deviation was smaller than the difference between the sample mean and the population mean.arrow_forwardThe daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 150 vs. Ha: μ > 150 B. Ho: μ = 150 vs. Ha: μ < 150 C. Ho: μ = 148 vs. Ha: μ > 148 D. Ho: μ = 148 vs. Ha: μ < 148arrow_forwardFind the p-value for the hypothesis test. A random sample of size 54 is taken. The sample has a mean of 375 and a standard deviation of 83. H0: µ = 400 Ha: µ< 400 The p-value for the hypothesis test is . rounded to 4 decimal placesarrow_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