Use the given categorical data to construct the relative frequency distribution. Natural births randomly selected from four hospitals in a highly populated region occurred on the days of the week​ (in the order of Monday through​ Sunday) with the frequencies 52​, 65​, 68​, 56​, 61​,46​,52. Does it appear that such births occur on the days of the week with equal​frequency? Construct the relative frequency distribution. Day Relative Frequency Monday % Tuesday % Wednesday % Thursday % Friday ​% Saturday ​% Sunday % Let the frequencies be substantially different if any frequency is at least twice any other frequency. Does it appear that these births occur on the days of the week with equal​ frequency? A. No, it appears that births occur on the days of the week with frequencies that are substantially different. B. ​Yes, it appears that births occur on the days of the week with frequencies that are exactly the same. C. ​Yes, it appears that births occur on the days of the week with frequencies that are about the same. D. It is impossible to determine with the given information.

2. A coach gave her team a test on sit-ups completed in one minute. Using the data collected, the coach constructed the following frequency distribution: Scores 90-99 80-89 70-79 60-69 50-59 40-49 30-39 20-29 10-19 0-9 a. 9 12 17 13 10 7 3 1 What is the percentile score for a raw score of 38? Show your work. b.) The coach wants to take the top 20% of the team and train them for the World Sit-up Championships. What raw score cut-off would be used to choose the team? Show your work. Note: you can't have part of a person on the team.

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O A. Yes, it appears that births occur on the days of the week with frequencies that are exactly the same. Yes, it appears that births occur on the days of the week with frequencies that are about the same. O B. O C. No, it appears that births occur on the days of the week with frequencies that are substantially different. O D. It is impossible to determine with the given information.

Last school year, the student body of a local university consisted of 20% freshmen, 21% sophomores, 29% juniors, and 30% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class. Freshmen 84 Sophomores 65 Juniors 86 Seniors 65 We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.If the distribution is the same as the previous year, the expected number of freshmen is _____.   a. 84     b. 87     c. 60     d. 20