4.) Determine the range and Standard Deviation of the set of data 4, 8, 9, 11, 13, 15
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- 5.) The Boston Red Sox have a pitching machine that simulates fast balls for use during batting practice. The average speed of the machine's pitches is 94 MPH when calibrated correctly properly. The standard deviation of pitches is known to be 3.6 mph. Once a week the grounds crew tests the machines by clocking 20 random pitches. It costs money and time to ship the machine to the shop to be fixed, so management wants the grounds crew to use a 1% significance level in any machine testing. This week, the average speed of the 20 pitches was 102 mph. Should the machine be sent to the shop? Why - Show work.14. A study using two random samples of 35 people each found that the average amount of time those in the age group of 26-35 years spent per week on leisure activities was 39.6 hours, and those in the age group of 46-55 years spent 35.4 hours Assume that the population standard deviation for those in the first age group found by previous studies is 6.3 hours, and the population standard deviation of those in the second group found by previous studies was 5.8 hours. At a = 0.05, can it be concluded that there is a significant difference in the average time each group spends on leisure activities?A survey was conducted in the United States and 10 countries of Western Europe to determine the percentage of teenagers who had used marijuana and other drugs. The results are summarized in the following table. only parts 4-7 iv) Can you spot a country which contributes negatively to the association? If yes, explain how. v) The standard deviation of the percent of teens who have used marijuana is 15.55% and it is 10.24% for the percent who have used other drugs. Calculate the correlation between the percent of teens who have used marijuana and the percent who have used other drugs. Show the ”by hand” formula you may use. vi) What does the correlation coefficient confirm or specify? vii) Do these results allow you to say that marijuana is a ”gateway drug”, that is, that marijuana use leads to the use of other drugs? Explain
- Suppose a normally distributed set of stock prices with 4100 observations has a mean of 114 and a standard deviation of 16. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be between the values 66 and 146. Hint: This problem is asking for how many observations, not the percent. Answer = (Round to the nearest whole observation.)Q21. State whether each of the following variables is an example of an independent variable (1) or a quasi-independent variable (Q). Just say I or Q 1. Gender: Ethnicity: Exposure to supplements during the experiment: Environment of research setting: ii. iii. iv. V. Sexual orientation: vi. Physical activity: Q22. Below you have the age for 20 students at Higherove community. Complete the following: Construct a simple frequency distribution for grouped data; display your findings in a table (number of intervals should be 5) i. ii. iv. V. WINN Add a column to your table with the relative percent Add a column to your table with the cumulative percent (bottom up) Construct a histogram that distributes the intervals along the horizontal scale (x-axis) and list the frequency of scores in each interval on the vertical scale Construct a pie chart (when drawing the chart, you do not have to be very accurate in- terms of the angles) Grade 8 14 11 6 17 9 14 19 15 10 15 12 0 16 13 24 8 10 14 7 XSuppose that you have a set of data that has a mean of 34 and a standard deviation of 6. a) Is the point 28 above, below, or the same as the mean. How many standard deviations is 28 from the mean. b) Is the point 46 above, below, or the same as the mean. How many standard deviations is 46 from the mean. c) Is the point 43 above, below, or the same as the mean. How many standard deviations is 43 from the mean. d) Is the point 20 above, below, or the same as the mean. How many standard deviations is 20 from the mean.
- 1. In a distribution of six scores, the deviations from the mean for five of the scores are +5, +3, +1, 0, and-3.What is the value of the deviation for the sixth score? 2. On the midterm exam in their anthropology course, Jan’s deviation score was +5, Kim’s was -12, andLeslie’s was 0.a) of these three, who did the best and who did the worst?b) the mean for the class was 80. What was the raw score for Jan, Kim, and Leslie?7. Female Pulse Rates Pulse rates of adult females are listed in Data Set 1 “Body Data” in Appendix B. The lowest pulse rate is 36 beats per minute, the mean of the listed pulse rates is x = 74.0 beats per minute, and their standard deviation is s = 12.5 beats per minute. a. What is the difference between the pulse rate of 36 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 36 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between - 2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 36 beats per minute significant?17. Exams I, II, and III have mean results of 67, 72, and 76, respectively, and standard deviations of 11, 8, and 5, respectively. Mary takes exam I, John takes exam II, and Sarah takes exam III. They each score 83. Rank them from lowest to highest results according to z-scores. (A) John, Sarah, Mary (C) Mary, John, Sarah (B) John, Mary, Sarah (D) Mary, Sarah, John If you feel the answer is none of the choices given, submit no answer to the question.
