Answer Questions 1-39 ODD ONLY.

For questions 21-39, also draw the standard normal curve, for example

SECTION 5. 1 INTRODUCTION TO NORMAL DISTRIBUTIONS AND THE STANDARD NORMAL DISTRIBUTIONS 249 Graphical Analysis In Exercises 15 and 16, determine whether the histogram represents data with a normal distribution. Explain your reasoning. 15. Waiting Time in a 16. Weight Loss Dentist's Office 0.20 0.4 0.15 - OTT SOPS E 0.3 Relative frequency 0.10 0.2 0.05 anil QU alsb bearlf volgaib of 0.1 el ange stil or srbi smu 10 20 30 40 50 60 70 80 12 20 28 36 Pounds lost Time (in minutes) sivob bra Graphical Analysis In Exercises 17-20, find the area of the indicated region under the standard normal curve. If convenient, use technology to find the area. Woods ybada s gn 17. TE JOY 18. wolvein A odont ed 10 4690 Heidi bril bus nom igmina vimo FIGURE FOR 4.26 8.80 1.2 -2.25 0 0.05 1.20 8.40 .2.00 19. 20. oni valquib of EV.GB IT. 28.20 ,28.To,28.20 . .Ed To aimiogby of oldsno -0.5 1.5 olgise way to noifhive wor to noisiveb bisb Finding Area In Exercises 21-40, find the indicated area under the standard normal curve. If convenient, use technology to find the area. enoljuditald lemsol to es 21. To the left of z = 1.36 augmon 22. To the left of z = 0.08 23. To the left of z = 1.96 bing 24. To the left of z = 1.28 25. To the right of z = -0.65 26. To the right of z = -1.95 27. To the right of z = 1.28 () 28. To the right of z = 3.25 29. To the left of z = -2.575 () 30. To the left of z = -3.16 sulT enronol again holeiq estu 31. To the right of z = 1.615 32. To the right of z = 2.51 33. Between z = 0 and z = 1.54 34. Between z = 0 and z = 2.86 Tasiomillim 90.0 to not Sit mobast is 35. Between z = -1.53 and z = 0 36. Between z = -0.51 and z = 0 37. Between z = -1.96 and 38. Between z = -2.33 and z = 1.96 z = 2.33 39. To the left of z = -1.28 or to 40. To the left of z = -1.96 or to the right of z = 1.28 the right of z = 1.96 X1 803 3AUDITO U Z.5.1 EXERCISES For Extra Help Building Basic Skills and Vocabulary 1. Find three real-life examples of a continuous variable. Which do you think may be normally distributed? Why? 2. What is the total area under the normal curve? MyStatLab 3. Draw two normal curves that have the same mean but different standard deviations. Describe the similarities and differences. SVTU 4. Draw two normal curves that have different means but the same standard deviations. Describe the similarities and differences. 5. What is the mean of the standard normal distribution? What is the standard deviation of the standard normal distribution? 6. Describe how you can transform a nonstandard normal distribution to a standard normal distribution. 7. Getting at the Concept Why is it correct to say "a" normal distribution and "the" standard normal distribution? 8. Getting at the Concept If a z-score is zero, which of the following must be true? Explain your reasoning. (a) The mean is zero. (b) The corresponding x-value is zero. (c) The corresponding x-value is equal to the mean. Graphical Analysis In Exercises 9-14, determine whether the graph could represent a variable with a normal distribution. Explain your reasoning. 9. 10. 11. 12. 13. 14. som of stone anivl eosdev x