Question

# Suppose we have a binomial experiment in which success is defined to be a particular quality...

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

(a)

• Suppose n = 35 and
• p = 0.37.

(For each answer, enter a number. Use 2 decimal places.)
n·p =
n·q =

Can we approximate by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.)

_____, _____ be approximated by a normal random variable because _____ _____.

first blank

YesNo

second blank

cancannot

third blank

n·p and n·q do not exceedn·p exceeds    n·q exceedsboth n·p and n·q exceedn·p does not exceedn·q does not exceed

fourth blank (Enter an exact number.)

What are the values of μ and σ? (For each answer, enter a number. Use 3 decimal places.)
μ = mu sub p hat =

σ = sigma sub p hat =

(b)

Suppose

• n = 25 and
• p = 0.15.

Can we safely approximate by a normal distribution? Why or why not? (Fill in the blank. There are four answer blanks. A blank is represented by _____.)

_____, _____ be approximated by a normal random variable because _____ _____.

first blank

YesNo

second blank

cancannot

third blank

n·p and n·q do not exceedn·p exceeds    n·q exceedsboth n·p and n·q exceedn·p does not exceedn·q does not exceed

fourth blank (Enter an exact number.)

(c)

Suppose

• n = 44 and
• p = 0.20.

(For each answer, enter a number. Use 2 decimal places.)
n·p =
n·q =

Can we approximate by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.)

_____, _____ be approximated by a normal random variable because _____ _____.

first blank

YesNo

second blank

cancannot

third blank

n·p and n·q do not exceedn·p exceeds    n·q exceedsboth n·p and n·q exceedn·p does not exceedn·q does not exceed

fourth blank (Enter an exact number.)

What are the values of μ and σ? (For each answer, enter a number. Use 3 decimal places.)
μ = mu sub p hat =

σ = sigma sub p hat =

third blank

n·p and n·q do not exceedn·p exceeds    n·q exceedsboth n·p and n·q exceedn·p does not exceedn·q does not exceed

fourth blank (Enter an exact number.)

What are the values of μ and σ? (For each answer, enter a number. Use 3 decimal places.)
μ = mu sub p hat =

σ = sigma sub p hat =

(b)

Suppose

• n = 25 and
• p = 0.15.

Can we safely approximate by a normal distribution? Why or why not? (Fill in the blank. There are four answer blanks. A blank is represented by _____.)

_____, _____ be approximated by a normal random variable because _____ _____.

first blank

YesNo

second blank

cancannot

third blank

n·p and n·q do not exceedn·p exceeds    n·q exceedsboth n·p and n·q exceedn·p does not exceedn·q does not exceed

fourth blank (Enter an exact number.)

(c)

Suppose

• n = 44 and
• p = 0.20.

(For each answer, enter a number. Use 2 decimal places.)
n·p =
n·q =

Can we approximate by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.)

_____, _____ be approximated by a normal random variable because _____ _____.

first blank

YesNo

second blank

cancannot

third blank

n·p and n·q do not exceedn·p exceeds    n·q exceedsboth n·p and n·q exceedn·p does not exceedn·q does not exceed

fourth blank (Enter an exact number.)

What are the values of μ and σ? (For each answer, enter a number. Use 3 decimal places.)
μ = mu sub p hat =

σ = sigma sub p hat =

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