1. Suppose that a student uses data on pulse rates collected from a random sample of 100 students from her college, and finds a 95% confidence interval for mean pulse rate to be (65.5, 71.8). Identify the best interpretation of the confidence interval. Indicate which you think is correct and explain why.

• I am 95% sure that all students at this college have pulse rates between 65.5 and 71.8 beats per minute.
• I am 95% sure that a randomly selected student at this college would have a pulse rate between 65.5 and 71.8 beats per minute.
• I am 95% sure that the mean pulse rate for any random sample of 100 students will fall between 65.5 and 71.8 beats per minute.
• I am 95% sure that the mean pulse rate for all students at this college is between 65.5 and 71.8 beats per minute.
• I am sure that 95% of all students at this college have pulse rates between 65.5 and 71.8 beats per minute.

V.. September 21, 2022 at 10:32 PM C 1. Give an example of two quantitative variables for which you would expect to see a strong positive correlation. Explain why you would expect a strong positive correlation in the context of 2. Give an example of two quantitative variables for which you would expect to see a strong positive correlation. Explain why you would expect a strong positive correlation in the context of the variables. O C... 3. Language of random chance can be used for a sample statistic: . It is likely that ... . The probability that ... The chance of ... Language of uncertainty can be used for a parameter: . It is believed to be true that ... . I am 90% confident that ... Examples: . In a random sample of students at ACC, It is likely that more than half of them will be full-time students. (describes a sample statistic calculated from a sample of ACC students). . It is believed to be true that more than half of all students at ACC are full-time students. (describes a population parameter p estimated for all ACC students). Write a statement like one of the examples above, using correct language to describe either a sample statistic or a population parameter. 4. an example of a parameter and an example of an appropriate sample statistic that would estimate it. You may make these up. Include a full parameter definition. Refer to Defining.a Parameter - Quick Reference for clarity on what is expected in a full parameter definition. You may spell out notation. Choose from the following: Single mean d C... Single proportion Correlation . Difference of means (define two parameters, one for each mean, and the statistic that is a difference of means) . Difference of proportions (define two parameters, one for each proportion, and the statistic that is a difference of proportions) Follow this model: Parameter: rho = correlation between years of postsecondary education and income at age 40 for all adults in the US Statistic:r = correlation between years of postsecondary education and income at age 40 for a sample of adults in the US. 5. Suppose that a student uses data on pulse rates collected from a random sample of 100 students from her college, and finds a 95% confidence Interval for mean pulse rate to be (65.5, 71.8). Identify the best interpretation of the confidence interval. Indicate which you think is correct and explain why. . I am 95% sure that all students at this college have pulse rates between 65.5 and 71.8 beats per minute. . I am 95% sure that a randomly selected student at this college would have a pulse rate between 65.5 and 71.8 beats per minute. I am 95% sure that the mean pulse rate for any random sample of 100 students will fall between 65.5 and 71.8 beats per minute. I am 95% sure that the se rate for all students at this college is between 65.5 and 71.8 beats per minute. I am sure that 95% of this coll ge have pulse rates between 65.5 and 71.8 beats per minute