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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) ▼ OHow Big Are Gribbles? Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wooden docks and piers, they are now being studied to determine whether the enzyme they secrete will allow us to turn inedible wood and plant waste into biofuel.24 A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72. Give a best estimate for the mean length of gribbles, a margin of error for this esti- mate (with 95% confidence), and a 95% confidence interval. Interpret the confidence interval in con text. What do we have to assume about the sample in order to have confidence in our estimate? 1. Find the t-score for this confidence interval. Enter the positive t-score. 2. Find the standard error round answer 4 decimal places. 3. Find the margin of error. Round 4 decimal places.280 men are found to have an average pulse rate of 73 (beats per minute) with standard deviation 5.4, and 240 women are found to have an average pulse rate of 72 (beats per minute) with standard deviation 7.7. A researcher is interested in whether, on average, men have higher pulse rates than women. What is the most appropriate test for the researcher to use? A. chi-square test B. z-test for the difference between two proportions C. paired sample t-test D. two sample t-testA 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) OA criminologist rode along with patrol officers for several weeks and recorded the number of minutes police officers spent interviewing witness at a variety of crime scenes. Using data collected on a group of 35 patrol officers, she observes an average interviewing time of 307 minutes. Assume that the population standard deviation a is estimated to be 83 minutes. What is the point estimate for the population mean, p? minutes Submit QuestionLongevities of Archbishops and Monarchs 16 Archbishops 16 15 15 16 17 1 18 18 10 13 13 11 13 11 11 17 18 10 18 12 19 17 Monarchs 14 18 14 13 19 16 21 14 16 17 15 16A researcher collects data that represents the average number of hours of sleep in the last two nights by 8 depressed patients and 9 non-depressed patients. The researcher is interested in whether the two groups reliably differ in the amount of sleep they get. Use Jamovi to calculate t-obt and the p value.SEE MORE QUESTIONSRecommended 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. 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