Let a 20 and a2 > 0 with a+ &2 Then P(-zar < < Zaz) = 1 – a Use this equation to derive a more general expression for a (1-a) percent confidence interval for the population mean. Let a = 0. What now is the (1- a) percent confidence interval for the population mean.

Doctor Specialties Below are listed the numbers of doctors in various specialties by gender. Psychiatry Pathology Gynecology Male 27,319 12,551 23,813 Female 14,066 6620 18,520 Send data to Excel Choose 1 doctor at random. Part: 0 / 4 Part 1 of 4 (a) Find P (female psychiatry). Round your answer to three decimal places. P (female|psychiatry) = |

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MODELLING RELATIONSHIPS: et us look again at the test results in mathematics and biology from Example 2. 33 Example 3 42 48 37 32 30 30 Mathematics (x) 25 28 20 28 25 21 Biology (y) 20 22 24 a Find the mean of the mathematiCs test results. b Find the mean of the biology test results. * Hence predict the biology test result for someone who got 40 in their mathematics test Calculate both means using your GDC by eye. a i = 32.75 b j = 25.25 Plot the mean point (32.75, 25.25) on the scatter diagram. Draw a line of best fit through the mean point so that there is roughly an equal number of points above and below the line y 50 45 40 Do not forget to label the mean point, M. 35 30 M Biology 25 20- 15 10 10 15 20 25 30 35 40 45 50 Mathematics d 28 Find the y-coordinate for the point at which the line of best fit crosses the line x = 40. Exercise 6E For each set of data: a i Plot the points on a scatter diagram. ii Describe the type of correlation. 10 11 12 13 14 15 16 17 18 y 18 20 19 21 24 23…