A sample of two observations x₁, x2 has been drawn from anormal population. It is required to test the hypothesis that the populationmean is 0. Prove that on the basis of t-test with equal test at 20% level ofsignificance, the hypothesis will be rejected if:1x₁ + x₂121x₁ - x₂ | tan 72°I

Answered: Image /qna-images/answer/c3641723-cac8-4708-b2a2-205e03961720.jpg

Answered: A sample of two observatiors x₁, x2 has…

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

The average yield of soybeans in Ohio is 58 bu/Acre (the control mean). We wish to test whether a field that has been treated with the product has soybean yields that are different than 58 bu/acre. We are going to conduct a study with 49 fields and set up the hypothesis at α=.05. After we conduct the experiment we get a sample mean x = 60 bu/Acre and s=7 bu/acre. Conduct the test. Z=____________
The hemoglobin count (HC) in grams per 100 milliliters of whole blood is approximately normally distributed with population mean 14 for healthy adult women. Suppose a female patient has had 18 laboratory blood tests during the past year. Her average HC is 16.83 with s = 0.76. Is there evidence that her average HC is not 14? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μ , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)H0: Ha: (b) Find the test statistic (give to at least 3 decimal places), t = (c) Answer the question: Is there evidence that her average HC is not 14? (Use a 1% level of significance)(Type: Yes or No)
It has long been accepted by the general public that normal body temperature is 98.6 degrees. A group of 20 randomly selected adults was selected and their body temperatures were taken. Of them, 14 had a body temperature of less than 98.6, 3 had body temperatures of 98.6 and 3 had body temperatures of more than 98.6 degrees. At α =0.05, test the claim that the median body temperature is less than 98.6 degrees. A. Determine the test statistic. B. Determine the critical value.
A standardized IQ test is known to be normally distributed and has μ=100 and σ=10. there is a common belief that students in wealthier school districts tend to have higher IQ scores. A researcher randomly selects a sample of 25 students from wealthy school districts. The average IQ of the sample is x̅=103. Conduct a test if the average score for students from wealthy districts is higher than 100, assuming α=0.05
The calibration of a scale is to be checked by weighing a 11 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with o = 0.200 kg. Let u denote the true average weight reading on the scale. (a) What hypotheses should be tested? Ho: H = 11 Ha: u + 11 Ho: H + 11 H3i H 11 a (b) With the sample mean itself as the test statistic, what is the P-value when x = 10.83? (Round your answer to four decimal places.) What would you conclude at significance level 0.01? Conclude that the true mean measured weight differs from 11 kg. Conclude that the true mean measured weight is the same as 11 kg. (c) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 11.2? (Round your answer to four decimal places.) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 10.9? (Round your answer to…
60% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 172 of the 249 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.10? For this study, we should use (t-test, z-test) The null and alternative hypotheses would be: Ho: (symbol) (symbol) _____ (please enter a decimal) H1: (symbol) (symbol) _____ (Please enter a decimal) The test statistic (symbol) = _____ (please show your answer to 3 decimal places.) The p-value = _______ (Please show your answer to 4 decimal places.) The p-value is (symbol) αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 60% at αα = 0.10, so there is sufficient evidence to conclude that the population proportion of students who…
Questions are added as a picture from another file since there didn't seem to be a way to type some characteristics into this text field. A classmate is interested in estimating the variance of the error term in Yi = β0 + β1Xi + ui. a.) found on atta b.) found on attachment
Past research has indicated that the average age of death row inmates is 41 years old. researcher would like to determine if the average age has changed. She randomly selects 50 death row inma s and ds their average age to be 37 years old. The hypothesis the statistician wants to test is: a. Ho: µ=37 vs_ Ha: µ ± 41. b. Ho: µ=41 vs Ha: µ< 41. Ho: u = 41 vs. H: u 41 d. Ho: µ=37 vs_Ha: µ< 41. C. 2. If a player at a casino is playing roulette and betting on red, there is a 18 / 38 or 0.474 chance that he will win on any spin of the roulette wheel. If we take a random sample of 300 players betting on red, then p is the proportion of times that the player wins. What is the mean of the sampling distribution of p? t' a. b. What is the standard deviation (os) of the sampling distribution of p? c. If repeated samples of 300 players are taken, what would be the range of the sample proportion of players victories according to the 95 part of the 68-95-99.7 rule" pts) 3. The z statistic for a…
In a certain article, laser therapy was discussed as a useful alternative to drugs in pain management of chronically ill patients. To measure pain threshold, a machine was used that delivered low-voltage direct current to different parts of the body (wrist, neck, and back). The machine measured current in milliamperes (mA). The pretreatment experimental group in the study had an average threshold of pain (pain was first detectable) at u = 3.30 mA with standard deviation o = 1.23 mA. Assume that the distribution of threshold pain, measured in milliamperes, is symmetric and more or less mound-shaped. (Round your answers to two decimal places.) (a) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 68% of the experimental group will have a threshold of pain from mA to (b) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 95% of the experimental group will have a threshold of pain from mA to mA
A random sample of 500 adult residents of Maricopa County found that 361 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 adult residents of Pima County found that 292 were in favor of the increased speed limit. Do these data indicate that there is a difference in the support for in increasing the speed limit between the residents of the two counties? Use a = 0.05. (a) Test the hypothesis Ho: P₁ = P2 versus H₁: P₁ P2. What is zo? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that there is a difference in the support for increasing the speed limit between the residents of the two counties?
there is a claim that people living near major roads have higher blood levels of lead. 30 women living near the main road were randomly selected and the mean blood lead level was calculated as x̄1=15 and s1=5.0. in addition, 25 more women who did not live around the main road were sampled and calculated as x̄2=8.9 and s2=3.9. does this data obtained support the above claim? (test at α=0.05 significance level.)

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