An Introduction to Statistical Methods and Data Analysis
7th Edition
ISBN: 9781305269477
Author: R. Lyman Ott, Micheal T. Longnecker
Publisher: Cengage Learning
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The one-sample t-statistic for a test of Ho: µ = 0 versus H1: µ # 0 based on n = 15 observations has the value t = -1.757,
where Ho and H1 are the null and alternative hypotheses, respectively. The sample size is denoted by n.
Use this t-table to determine which two P-values bracket the P-value of the test. Report your answer as listed in the given
t-table.
lower limit =
upper limit =
The one-sample t-statistic for a test of Ho: u = 42 versus H1:µ < 42 based on n = 15 observations has the value
t = -2.138, where Ho and Hjare the null and alternative hypotheses, respectively. The sample size is denoted by n.
Use this t-table to determine which two P-values bracket the P-value of the test. Report your answers in decimal form as
listed in the t-table.
P-value of the test <
Mr. Lange draws two independent random samples from normally-distributed popula- tions with unknown population means and unknown population vari- ances. The first sample is found to have x = 78, s21 = 25, and n = 10; while the second sample is found to have y = 74, s2 = 9, and n = 16.
Mr. Lange wishes to use Welch’s T Test to determine whether there is enough evidence to conclude the population means differ. Answer the following questions.
(a) State the competing theories of this test.
(b) Are the requirements for Welch’s T Test met? If not, explain why.
(c) Compute the T statistic for Welch’s T Test. Round your answer to three decimal places.
(d) What distribution does the T statistic have?
(e) Compute α0 as discussed in class. What conclusion can you draw?
Chapter 6 Solutions
An Introduction to Statistical Methods and Data Analysis
Ch. 6.9 - Refer to the oil-spill case study.
What are the...Ch. 6.9 - For each of the situations, set up the rejection...Ch. 6.9 - Conduct a test of H0 : μ1 μ2 – 2.3 versus Ha : μ1...Ch. 6.9 - In an effort to link cold environments with...Ch. 6.9 - The Department of Natural Resources (DNR) received...Ch. 6.9 - An industrial engineer conjectures that a major...Ch. 6.9 - The number of households currently receiving a...Ch. 6.9 - Prob. 9ECh. 6.9 - Refer to Exercise 6.11. There appears to be a...Ch. 6.9 - A firm has a generous but rather complicated...
Ch. 6.9 - Prob. 14ECh. 6.9 - Random samples of size n1 = 8 and n2 = 8 were...Ch. 6.9 - Prob. 16ECh. 6.9 - Prob. 17ECh. 6.9 - The paper Serum Beta-2-Microglobulin (SB2M) in...Ch. 6.9 - Prob. 19ECh. 6.9 - Prob. 20ECh. 6.9 - Prob. 21ECh. 6.9 - Prob. 22ECh. 6.9 - A random sample of eight pairs of twins was...Ch. 6.9 - Refer to the data of Exercise 6.11. A potential...Ch. 6.9 - Researchers are studying two existing coatings...Ch. 6.9 - Prob. 27ECh. 6.9 - The paper “Effect of Long-Term Blood Pressure...Ch. 6.9 - A study was designed to measure the effect of home...Ch. 6.9 - Prob. 30ECh. 6.9 - A random sample of eight pairs of twins were...Ch. 6.9 - Refer to Exercise 6.31. a. What is the level of...Ch. 6.9 - Use the level and power values for the paired t...Ch. 6.9 - Use the level and power values for the paired t...Ch. 6.9 - A study was conducted to determine whether...Ch. 6.9 - The effect of Benzedrine on the heart rate of dogs...Ch. 6.9 - Prob. 37E
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- Each person in a random sample of 400 residents in a major town was asked whether they had ever been bitten by a dog. 85 answered yes. We are testing the following pair of hypotheses for the value of p, the true proportion of residents in the town who have been bitten by a dog: H0: p = 0.25 Ha: p < 0.25 We are using (alpha) α = 0.05. What is the P-value of this test? Select one: a.0.050 b.0.958 c.0.042 d.0.033arrow_forward16% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 341 randomly selected students who receive financial aid, 38 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer > ≠ = < (please enter a decimal) H1:H1: ? μ p Select an answer = > < ≠ (Please enter a decimal) The test statistic ? t z = (please show your answer to 2 decimal places.) The p-value = (Please show your answer to 4 decimal places.)arrow_forwardThe one-sample t-statistic for a test of Ho: µ = 42 versus H: µ ●见日云) 12/9/2020 a prt sc insert 19 144 toarrow_forward
- 20% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 306 randomly selected students who receive financial aid, 70 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer = ≠ > < (please enter a decimal) H1:H1: ? μ p Select an answer > ≠ = < (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer accept reject fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly…arrow_forwardThe NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?arrow_forwardA 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.arrow_forward
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