Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a)

• Suppose n = 29 and
• p = 0.24.

(For each answer, enter a number. Use 2 decimal places.) np = nq = Can we approximate p? by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.) _____, p? _____ be approximated by a normal random variable because _____ _____. first blank

Yes No

second blank

can cannot

third blank

np does not exceed nq exceeds nq does not exceed both np and nq exceed np and nq do not exceed np exceeds

fourth blank (Enter an exact number.) What are the values of ?_p? and ?_p?? (For each answer, enter a number. Use 3 decimal places.) ?_p? = mu sub p hat = ?_p? = sigma sub p hat =

(b)

Suppose

• n = 25 and
• p = 0.15.

Can we safely approximate p? by a normal distribution? Why or why not? (Fill in the blank. There are four answer blanks. A blank is represented by _____.) _____, p? _____ be approximated by a normal random variable because _____ _____. first blank

Yes No

second blank

can cannot

third blank

np does not exceed nq exceeds nq does not exceed both np and nq exceed np and nq do not exceed np exceeds

fourth blank (Enter an exact number.)

(c)

Suppose

• n = 47 and
• p = 0.14.

(For each answer, enter a number. Use 2 decimal places.) np = nq = Can we approximate p? by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.) _____, p? _____ be approximated by a normal random variable because _____ _____. first blank

Yes No

second blank

can cannot

third blank

np does not exceed nq exceeds nq does not exceed both np and nq exceed np and nq do not exceed np exceeds

fourth blank (Enter an exact number.) What are the values of ?_p? and ?_p?? (For each answer, enter a number. Use 3 decimal places.) ?_p? = mu sub p hat = ?_p? = sigma sub p hat =

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 29 and p = 0.24. (For each answer, enter a number. Use 2 decimal places.) n.p = n-q = Can we approximate p by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by p. be approximated by a normal random variable because first blank O Yes O No second blank O can O cannot third blank O n.p does not exceed O n-q exceeds O n.q does not exceed O both nip and n.q exceed O n.p and n.q do not exceed O n.p exceeds fourth blank (Enter an exact number.) What are the values of u, and o ? (For each answer, enter a number. Use 3 decimal places.)\fsecond blank O can O cannot third blank O n.p does not exceed O n-q exceeds O n-q does not exceed O both nip and n-q exceed O nip and n-q do not exceed O n.p exceeds fourth blank (Enter an exact number.) What are the values of u, and o ? (For each answer, enter a number. Use 3 decimal places.) S