Testing: H0: u=44.195 H1: u>44.195 Your sample consists of 26 subjects, with a mean of 45.1 and standard deviation of 2.61. Calculate the test statistic, rounded to 2 decimal places
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Testing:
H0: u=44.195
H1: u>44.195
Your sample consists of 26 subjects, with a mean of 45.1 and standard deviation of 2.61.
Calculate the test statistic, rounded to 2 decimal places.
Step by step
Solved in 3 steps with 2 images
- how to do thisThe length of a metal block is measured 4 times using a ruler. The results are shown below: measurement # length l (mm) 1 23.5 2 23.8 3 23.2 4 23.6 First, calculate the mean length and fill it in the blank below. Next, fill in the blanks for the differences and in the table above. Finally, calculate the standard deviation, the standard deviation of the mean and the 2σ uncertainty and fill in the blanks below. Important notes (read before entering your answers): Enter the values in mm using decimal notation (e.g. 0.0123). A leading zero before the decimal point must be entered (e.g. 0.0123, not .0123). Do not use scientific notation, as it will not be recognized, and do not enter the units. Do not round the numbers, as this may cause rounding errors to accumulate. Mean length: mm Standard deviation mm Standard deviation of the mean mm 2σ uncertainty mmDaily 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 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, 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 critical value method with tables. Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. H: u = 24 not claim Η: μ 24 claim The hypothesis test is a one-tailed test. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):
- 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 25 drivers over the age of 60 and finds that the mean number of miles driven is 22.5. The population standard deviation is 4.1 miles. At a = 0.01, 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. Part: 0 / 4 Part 1 of 4 (a) State the hypotheses and identify the claim. H,: (Choose one) ▼ OUse sample standard deviation formula to find the standard deviation of these BMI’s: 33.3, 28, 45.4, 28.4 and 25.9.N=80 p=.6 mean? variance? standard deviation?Debra attends a fashion institute that has no on-campus housing. The mean distance commuted to campus among all students at the fashion institute is 16 kilometers with a standard deviation of 6 kilometers. The distance Debra commutes is 29 kilometers. (a) Find the z-score of Debra's commute distance relative to the commute distances amongll the students at the institute. Round your answer to two decimal places. (b) Fill in the blanks to interpret the z-score of Debra's commute distance. Make sure to express your answer in terms of a positive number of standard deviations. Debra's commute distance is standard deviations (Choose one) v the mean commute distance among all students at the institute. Submi Continue MacBook AirAt a college, the mean height of women is 64 inches with the standard deviation of 5 inches. What is the z-score for a height of 59? What is the z-score for a height of 74? What is the height of a woman with a z-score of 3? Submit QuestionA basketball player makes 56 free throws in a season. The average number of free throws made in the league is 52, and the standard deviation is 4. A softball player makes 42 hits in a season. The average number of hits mase in the league is 38, and the standard deviation is 6. Calculate Z-scores for the two and compare them. Which one is better at their sport?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 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, 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 critical value method with tables. Part: 0 / 5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) Oz Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 122.7-cm and a standard deviation of 0.5-cm.Find P15, which is the length separating the shortest 15% rods from the longest 85%.P15 = -cmRecommended textbooks for youMATLAB: 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 LearningElementary 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. FreemanMATLAB: 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 LearningElementary 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