If on an average, 6 ships out of 10 arrive safely, find the Mean and the S.D of the number of ships arriving safely out of a total of 1000 ships.
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- A professor using an open-source introductory statistics book predicts that 60% of the students will purchase a hard copy of the book, 25% will print it out from the web, and 15% will read it online. She has 200 students this semester. Assuming that the professor's predictions were correct, calculate the expected number of students who read the book online.A researcher wants to compare the effectiveness of three different teaching methods (A, B, and C) on exam scores. The researcher gathers exam scores from 20 students for each teaching method, and wants to determine if there is a significant difference in the mean exam scores between the three teaching methods. What test can the researcher use to answer this question?Suppose there are 5 students in a room. The mean age is 20.0 years, and the median age is 19. If the youngest person leaves and is not replaced by another person, what happens to the mean and the median? The mean either increases or stays the same, and the median increases. The median either increases or stays the same, and the mean increases. The mean increases, but it is impossible to determine whether the median increases, decreases, or stays the same.
- The blue catfish (Ictalurus Furcatus) is the largest species of North Amercian catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to Amercian Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 50 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=50; ¯x=40.72 pounds; s=5.03pounds Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal…The sample data here is the cholesterol levels for 10 men diagnosed with high cholesterol. The first row represents levels from 10 men who did not use the drug and the second row from 10 different men who did use the drug. If we want to test the claim that the mean level for all men who use the drug is less than the mean for all men who do not use it, what is the appropriate alternative hypothesis? The mean cholesterol level of males who take the medicine is higher than the mean cholesterol levels of men who do not take it. There is a significant difference between males who use the medicine and men who do not use the drug in terms of mean cholesterol levels. The mean cholesterol level of males who take the medicine is lower than the mean cholesterol levels of men who do not take it. There is no significant difference between males who use the medicine and men who do not use the drug in terms of mean cholesterol levels.Suppose that 10 students have taken an exam and that the mean and median scores are both 60. (Since 10 is an even number you can assume that two scores in the middle are both 60.) Two more students take it and one scores 70 and the other scores 26. If these students are now included, what is the new mean? What is the new median?
- A running coach wants to know if participating in weekly running clubs significantly improves the time to run a mile. The running coach collects mean mile times for 42 runners who participate in weekly running clubs with 54 runners who do not run in clubs. The running coach measures times in January and June of the same year. All times are in seconds, and the runners all started with mile times between 8 minutes (480 seconds) and 9 minutes (540 seconds). Here are the results: (table) The running coach conducts a hypothesis test and finds that running club members significantly improve their running times with a p-value < 0.05. The running coach wants to calculate how many seconds change to expect for runners who participate in running clubs. What is the best method for the running coach to use to determine how many seconds change to expect for runners who participate in running clubs? Use the difference in sample means (530 − 520) in a hypothesis test for a difference in two…The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 42 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=42; ¯x=40.63 pounds; s=3.49 pounds a) Identify the null and alternative hypotheses?H0: H1: c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two…make up 2 data sets, each with 5 values, that have the same mean and median, but different standard deviations.
- I don't understand how to complete this. please show step by stepA running coach wants to know if participating in weekly running clubs significantly improves the time to run a mile. The running coach collects mean mile times for 42 runners who participate in weekly running clubs with 54 runners who do not run in clubs. The running coach measures times in January and June of the same year. All times are in seconds, and the runners all started with mile times between 8 minutes (480 seconds) and 9 minutes (540 seconds). Here are the results: (table) The running coach investigates if runners in a running club improve times more than runners not in a club. The running coach conducts a hypothesis test for the difference in sample mean change (“Running Club” minus “Not in a Club”). Here are the results: T-value = 2.7027, p-value = 0.0043, DF = 74 95% Confidence Interval (0.5254, 3.4746) Which of the following can the running coach conclude? Runners who participate in running clubs have a statistically significant change in running times when compared…The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 50 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=50 ; ¯x=40.49 pounds; s=3.49 pounds a) Identify the null and alternative hypotheses? H0: H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance…