Aabende Abode AaB CcDc ABCD AaBb Normal Heading 1 Title 5. (18 points) It's reported that the average commute time to work in New York is 32.6 minutes. To investigate whether a different average is true for the small city she lives in, a I student surveyed 54 people she knew and found that the average commute time for her sample to be 28.12 minutes, with a standard deviation of 7.73 minutes. a. Assign appropriate symbols to the numbers 28.12 and 2.73. For example, n-54. b. Describe what the parameter stands for in this context c. State the null and alternative hypotheses for this test in symbols. d. Are the conditions to use a theory-based test valid? Why or why not? e. Suppose the theory-based test gives a standardized statistic of -2.12 and a corresponding p-value of 0.031. State your conclusion in the context of this study. Use a significance level of 0.05. f. Describe what a Type I error would mean in the context of this study. 6. (10 points) A television provider contacts a random sample of 120 customers and asks how many hours per day the customers watch television. They found that the average amount of time spent watching television was about 3.12 hours, with a standard deviation of 1.98. Find and interpret a 95% confidence interval for the parameter of interest Round your interval to one decimal place. Then rewrite this interval in the form of statistic margin of error 7. (15 points) A sample of healthy students were blindly given a single Skittles candy to put in their mouth. They were told the five possible flavors and then were asked which flavor they had. Of the 130 students tested, 54 gave the correct answer. Find a 99% confidence interval for the proportion of all healthy students that could correctly identify a Skittles flavor blindly. (Be as accurate as possible. Round your answer to 3 decimal places.) ted States) Focus MacBook Air 000 80