Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter B.6, Problem 32AYU
Why does a large value of the F statistic provide evidence against the null hypothesis
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Imagine that your null hypothesis is μ = 16 and your alternative hypothesis is μ ≠ 16 for a population with unknown variance. What is the absolute value for the critical test statistic T0 given α = 0.05 and n = 19?
A researcher was doing a study for a new Coronavirus Drug and conducted a hypothesis test like this one:
H0: μμ = 15
Ha: μμ ≠≠ 15
a. What type of test is this?
two-tailed
left-tailed
right-tailed
b. She obtained a test statistic of -1.21, with a p-value of 0.245. So she concluded that her true mean must be equal to 15.
Is this interpretation correct?
Yes
No
Why or why not? (Will be graded manually!)v
A test is conducted for Ho: μ = 9.0 vs. Ha: μ< 9.0.
The test statistic is -1.44. Correct conclusions are
Reject null hypothesis at both 6%
and 8% level of significance.
Reject null hypothesis at 5% level of
significance but do not reject at 10%
level of significance.
Reject null hypothesis at 6% level of
significance but do not reject at 8%
level of significance
Reject null hypothesis at 10% level
of significance but do not reject at
5% level of significance
Reject null hypothesis at both 5%
and 10% level of significance.
Chapter B.6 Solutions
Fundamentals of Statistics (5th Edition)
Ch. B.6 - The acronym ANOVA stands for __________ __...Ch. B.6 - True or False: To perform a one-way ANOVA, the...Ch. B.6 - True or False: To perform a one-way ANOVA, the...Ch. B.6 - The variability among the sample means is called...Ch. B.6 - The variability within each treatment group, which...Ch. B.6 - True or False: The F-test statistic is F0=MSTMSE.Ch. B.6 - In Problems 7 and 8, fill in the ANOVA table. 7.Ch. B.6 - In Problems 7 and 8, fill in the ANOVA table. 8.Ch. B.6 - In Problems 9 and 10, determine the F-test...Ch. B.6 - In Problems 9 and 10, determine the F-test...
Ch. B.6 - NW 11. The following data represent a simple...Ch. B.6 - The following data represent a simple random...Ch. B.6 - NW 13. Corn Production The data in the table...Ch. B.6 - Soybean Yield The data in the table represent the...Ch. B.6 - Which Delivery Method Is Best? At a community...Ch. B.6 - Births by Day of Week An obstetrician knew that...Ch. B.6 - Rates of Return A stock analyst wondered whether...Ch. B.6 - Reaction Time In an online psychology experiment...Ch. B.6 - Car-Buying Discrimination To determine if there is...Ch. B.6 - Crash Data The Insurance Institute for Highway...Ch. B.6 - Lower Your Cholesterol Researcher Francisco...Ch. B.6 - pH in Rain An environmentalist wanted to determine...Ch. B.6 - Age and Politics Do peoples political philosophy...Ch. B.6 - Concrete Strength An engineer wants to know if the...Ch. B.6 - Analyzing Journal Article Results Researchers...Ch. B.6 - Prob. 27AYUCh. B.6 - Diversity and pH The following data represent the...Ch. B.6 - Another E-Cig Study In a study of adult smokers...Ch. B.6 - What are the requirements to perform a one-way...Ch. B.6 - What is the mean square due to treatment estimate...Ch. B.6 - Why does a large value of the F statistic provide...Ch. B.6 - In a one-way ANOVA, explain what it means to...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Your null hypothesis is μ = 12 and your alternative hypothesis is μ ≠ 12 for a population with unknown variance. What is the absolute value for the critical test statistic T0 given α = 0.01 and n = 15?arrow_forwardFor the hypothesis test Ho :µ = 16 against Hj : µ < 16 with variance unknown and n = 10, find the best approximation for the P-value for the test statistic to = 1.968. O 0.950arrow_forwardA test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23. a. .Is H0 rejected?arrow_forwardWhat is the null hypothesis for the ECDF-based tests? O Ho: M1 Hoμ1 = μ2 Ho: F(X) = G (Y) ○ H₁ : 0 = 02/ The distribution of the data is Normalarrow_forwardConsider a hypothesis test with H 0: μ = 20 vs H 1: μ ≠ 20) at α = 0.05 on mean of a Normal population with unknown variance. If the sample variance is 4 and the true mean is 18.5, then the sample size required to obtain a power of test at least 80% is close to 15 using an appropriate OC curve. True Falsearrow_forwardTRUE OR FALSE If a test value is in the critical region with a=0.01, it would still be in the critical region even if the alpha was changed to =0.05. If a researcher obtains a test score of z=1.7 for a hypothesis test using =0.05, then the researcher should reject the null hypothesis for a right-tailed test. In addition, the researcher should also reject the null hypothesis for a two-tailed test. The z test formula uses the sample standard deviation while the t test formula uses the population standard deviation. The critical t value(s) depends on the degrees of freedom associated with the t test value. A type I error occurs when a researcher unknowingly obtains an extreme non-representative example. The null hypothesis should be rejected if the test value is -2.8, =0.01, and the test is left-tailed. The variance of the standard normal distribution and the t-distribution is 1.arrow_forwardAn engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars (the ability to resist tearing when pulled lengthwise). At α=0.02, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem. Treatment Tensile strengths (newtons per square millimeter) Experimental 400 413 434 409 420 377 392 Conventional 381 446 436 350 404 354 375 361 355 386 (a) Identify the claim and state H0 and Ha. The claim is "The new treatment ▼ makes a difference does not make a difference in the tensile strength of the bars." What are H0 and Ha? The null hypothesis, H0, is ▼ mu 1 equals mu 2μ1=μ2 mu 1 less than or equals mu 2μ1≤μ2 mu 1 greater than or equals mu 2μ1≥μ2 . The alternative…arrow_forwardrandom sample of size 36 from a population with known variance = 9 yields a sample mean of 17. The Z value that corresponds to α = 0.05 that is used to test H0: μ=μ0 versus Ha: μ>μ0 is (The answer must be rounded to three decimal places.)arrow_forwardA random sample of 100 measurements of the resistance of electronic components produced in a period of 1 week was taken. The sample skewness was 0.63 and the sample kurtosis was 3.85. Test the null hypothesis that the population distribution is normal.arrow_forwardarrow_back_iosarrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License