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

• Suppose n = 31 and
• p = 0.37.

(For each answer, enter a number. Use 2 decimal places.) np = 11.47 nq = 19.53

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 _____ _____.

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 YesNo

second blank cancannot

third blank both np and nq exceed

np and nq do not exceed

np exceeds

np does not exceed

nq does not exceed

nq exceeds

fourth blank (Enter an exact number.) (c)Suppose

• n = 64 and
• p = 0.27.

(For each answer, enter a number. Use 2 decimal places.) np = 17.28 nq = 46.72 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 YesNo

second blank cancannot

third blank both np and nq exceed

np and nq do not exceed

np exceeds

np does not exceed

nq does not exceed

nq 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 =