Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter B.3, Problem 1AYU
- (a) Determine the critical value for a right-tailed test of a population standard deviation with 18 degrees of freedom at the α = 0.05 level of significance.
- (b) Determine the critical value for a left-tailed test of a population standard deviation for a
sample of size n = 23 at the α = 0.1 level of significance. - (c) Determine the critical values for a two-tailed test of a population standard deviation for a sample of size n = 30 at the α = 0.05 level of significance.
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Daily Driving The average number of miles a person drives per day is
24. A researcher wishes to see if people over age 60 drive less than 24
miles per day. She selects a random sample of 32 drivers over the age of
60 and finds that the mean number of miles driven is 22.9. The population standard deviation is 3.1 miles. At α=0.05, is there sufficient evidence that those drivers over
60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the P-value method with a graphing calculator.
Find the P-value. Round it to four decimal places.
Daily Driving The average number of miles a person drives per day is 24
. A researcher wishes to see if people over age 60 drive less than 24
miles per day. She selects a random sample of 32 drivers over the age of
60 and finds that the mean number of miles driven is 22.9. The population standard deviation is 3.1miles. At α=0.05, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the
P-value method with a graphing calculator.
a)Find the P-value. Round the answer to at least four decimal places.
Chapter B.3 Solutions
Fundamentals of Statistics (5th Edition)
Ch. B.3 - (a) Determine the critical value for a...Ch. B.3 - (a) Determine the critical value for a...Ch. B.3 - To test H0: = 50 versus H1: 50, a random sample...Ch. B.3 - Prob. 4AYUCh. B.3 - Prob. 5AYUCh. B.3 - To test H0: = 0.35 versus H1: 0.35, a random...Ch. B.3 - To test H0: = 4.3 versus H1: 4.3, a random...Ch. B.3 - Prob. 8AYUCh. B.3 - NW 9. Mutual Fund Risk One measure of the risk of...Ch. B.3 - Prob. 10AYU
Ch. B.3 - Pump Design The piston diameter of a certain hand...Ch. B.3 - Prob. 12AYUCh. B.3 - Prob. 13AYUCh. B.3 - Prob. 14AYUCh. B.3 - An Inconsistent Player Sports announcers often...Ch. B.3 - Prob. 16AYUCh. B.3 - Heights of Baseball Players Data obtained from the...Ch. B.3 - NCAA Softball NCAA rules require the circumference...
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- The mean noise level of 20 randomly selected areas designated as “casualty doors” was 63.1 dBA, and the sample standard deviation is 4.1 dBA. The mean noise level for 24 randomly selected areas designated as operating theaters was 56.3 dBA, and the sample standard deviation was 7.5 dBA. At α = 0.05, can it be concluded that there is a difference in the means? What is the type of test to be used?arrow_forwardDetermine the critical values for these tests of a population standard deviation. (a) A right-tailed test with 19 degrees of freedom at the α=0.05 level of significance (b) A left-tailed test for a sample of size n=30 at the α=0.01 level of significance (c) A two-tailed test for a sample of size n=27 at the α=0.01 level of significance Round to three decimal places.arrow_forwardThe concentration of hexane (a common solvent) was measured in units of micrograms per liter for a simple random sample of twelve specimens of untreated ground water taken near a municipal landfill. The sample mean was 720.2 with a sample standard deviation of 8.8. Eleven specimens of treated ground water had an average hexane concentration of 695.1 with a standard deviation of 9.1.It is reasonable to assume that both samples come from populations that are approximately normal. Construct a 90% confidence interval for the reduction of hexane concentration after treatment. Interpret the results.arrow_forward
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- In a school district, all sixth grade students take the same standardized test. The superintendent of the school district takes a random sample of 26 scores from all of the students who took the test. She sees that the mean score is 130 with a standard deviation of 7.2344. The superintendent wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 16. Is there evidence that the standard deviation of test scores has decreased at the α = 0.05 level? Assume the population is normally distributed.arrow_forwardAmerican Theatre owners knew that a certain hit movie ran an average of 84 days or more in each city, and the corresponding deviation is 10 days. The manager of the south-eastern district is interested in comparing the movies popularity in his region with that in all of American’s other theatres. He randomly chose 25 theatres in his region and found that they ran the movie on an average of 81.5 days. Test this claim at α = 0.05 level of significance. Population mean μ = 84 days Sample mean x̅ = 81.5 days Population standard deviation σ = 10 days Sample size n = 75 1. State the null and alternative hypothesis. Ho: = 84 Ha: ≠ 84 2. At 95% confidence level, what is the level of significance? 3. Determine what type of test to use and determine the critical value. 4. Calculate the test statistic using the appropriate formula. 5 .Compare the calculated test statistics with that of the critical value. 6. Make a decision. 7. Interpret the result.arrow_forward
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