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MAT 143 Statistics Activity 5 - Chapter 3 (Probability) The table shows the numbers (in thousands) of earned degrees by level in two different fields, conferred in the United States in a recent year. (Source: U.S. National Center for Education Statistics) Level of Degree Natural sciences/mathematics Computer science/engineering Total ------------------------------------------------------------------------------------ Bachelor's 175.5 220.3 395.8 Master's 34.8 105.4 140.2 Doctoral 16.4 13.0 29.4 TOTAL 226.7 338.7 565.4 PLEASE SHOW THE FRACTIONS YOU USE TO CALCULATE YOUR ANSWERS. 1. A person who earned a degree in this year is randomly selected. Find the probability (rounded to the nearest thousandth) that the degree earned by the person is a: A. Bachelor's degree B. Bachelor's degree, given that the degree is in computer science/engineering C. Bachelor's degree, given that the degree is not in computer science/engineering D. Bachelor's degree or master's degree E. Doctorate, given that the degree is in computer science/engineering F. Master's degree or the degree is in natural sciences/mathematics G. Bachelor's degree and the degree is in natural sciences/mathematics H. Degree in computer science/engineering, given that the person earned a bachelor's degree I. Master's degree and doctorate degree J. Degree in computer science/engineering or degree in natural sciences/mathematics 2. Which of the event(s) in parts A through J can be considered unusual? Explain. 3. Which of the event(s) in parts A through J can be considered mutually exclusive? Explain.
on each run are shown in the accompanying data table. Complete parts a through c. a. The potential buyer wants to know whether the sample data refute the manufacturer's claim. Specify the null and alt Choose the correct answer below. A. H0: μ=10 H0: μ=10 Ha: μ>10 c. H0: μ=10 Ha: μ ≠ 10 b. In the context of this exercise, what is a Type I error? A Type II error? First identify what a Type I error is for this situation. Choose the correct answer below. Data table 10 8 9 9 12 9 11 8 8 10 6 9 6 11 10 10 10 13 8 11 11 9 12 7 8 9 9 6 12 5 9 9 10 9 7 8 11 11 10 1 9 12 11 10 6 9 10 10 A. A Type I error would be to conclude that the true mean number of solder joints inspected is not equal to 10 wh B. A Type I error would be to conclude that the sample mean number of solder joints inspected is greater than 10 C. A Type I error would be to conclude that the true mean number of solder joints inspected is less than 10 when, D. A Type I error would be to conclude that the true mean number of solder joints inspected is equal to 10 when, Now identify what a Type II error is for this situation. Choose the correct answer below. A. A Type II error would be to conclude that the true mean number of solder joints inspected is 10 when, in fact, the mean is less than 10. B. A Type II error would be to conclude that the true mean number of solder joints inspected is less than 10 when, in fact, the mean is equal to 10. C. A Type II error would be to conclude that the true mean number of solder joints inspected is not equal to 10 when, in fact, the mean is equal to 10. D. A Type II error would be to conclude that the sample mean number of solder joints inspected is 10 when, in fact, the mean is greater than 10. c. Conduct the hypothesis test you described in part a and interpret the test's results in the context of this exercise. Use α=0.05. Calculate the value of the test statistic. z= (Round to two decimal places as needed.)