Question

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 39 and p = 0.35. (For each answer, enter a number. Use 2 decimal places.) n·p = 13.65 Correct: Your answer is correct. n·q = 25.35 Correct: Your answer is correct. Can we approximate p̂ by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.) _____, p̂ _____ be approximated by a normal random variable because _____ _____. first blank Yes No Correct: Your answer is correct. second blank can cannot Correct: Your answer is correct. third blank n·p exceeds n·q exceeds both n·p and n·q exceed n·q does not exceed n·p does not exceed n·p and n·q do not exceed Correct: Your answer is correct. fourth blank (Enter an exact number.) 5 Correct: Your answer is correct. What are the values of μp̂ and σp̂? (For each answer, enter a number. Use 3 decimal places.) μp̂ = mu sub p hat = 13.65 Incorrect: Your answer is incorrect. σp̂ = sigma sub p hat = 2.902 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. (b) Suppose n = 25 and p = 0.15. Can we safely approximate p̂ by a normal distribution? Why or why not? (Fill in the blank. There are four answer blanks. A blank is represented by _____.) _____, p̂ _____ be approximated by a normal random variable because _____ _____. first blank Yes No Correct: Your answer is correct. second blank can cannot Correct: Your answer is correct. third blank n·p exceeds n·q exceeds both n·p and n·q exceed n·q does not exceed n·p does not exceed n·p and n·q do not exceed Correct: Your answer is correct. fourth blank (Enter an exact number.) 5 Correct: Your answer is correct. (c) Suppose n = 50 and p = 0.13. (For each answer, enter a number. Use 2 decimal places.) n·p = n·q = Can we approximate p̂ by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.) _____, p̂ _____ be approximated by a normal random variable because _____ _____. first blank Yes No Correct: Your answer is correct. second blank can cannot Correct: Your answer is correct. third blank n·p exceeds n·q exceeds both n·p and n·q exceed n·q does not exceed n·p does not exceed n·p and n·q do not exceed Correct: Your answer is correct. fourth blank (Enter an exact number.) 5 Correct: Your answer is correct. What are the values of μp̂ and σp̂? (For each answer, enter a number. Use 3 decimal places.) μp̂ = mu sub p hat = 6.5 Incorrect: Your answer is incorrect. σp̂ = sigma sub p hat = 2.378 Incorrect: Your answer is incorrect.

Answer 1

, be approximated by a normal random variable because

, be approximated by a normal random variable because

, be approximated by a normal random variable because