Suppose we have a binomial experiment in which success is defined
to be a particular quality or attribute that interests us.
(a) Suppose n = 28 and p = 0.31. (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
second blank
can
cannot
third blank
n·p and n·q do not exceed
n·p does not exceed
n·q does not exceed
n·p exceeds
both n·p and n·q exceed
n·q exceeds
fourth blank (Enter an exact number.)
What are the values of μp̂ and σp̂? (For each answer, enter a number. Use 3 decimal places.)
μp̂ =
mu sub p hat =
σp̂ =
sigma sub p hat =
(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
second blank
can
cannot
third blank
n·p and n·q do not exceed
n·p does not exceed
n·q does not exceed
n·p exceeds
both n·p and n·q exceed
n·q exceeds
fourth blank (Enter an exact number.)
(c) Suppose n = 42 and p = 0.21. (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
second blank
can
cannot
third blank
n·p and n·q do not exceed
n·p does not exceed
n·q does not exceed
n·p exceeds
both n·p and n·q exceed
n·q exceeds
fourth blank (Enter an exact number.)
What are the values of μp̂ and σp̂? (For each answer, enter a number. Use 3 decimal places.)
μp̂ =
mu sub p hat =
σp̂ =
sigma sub p hat =
Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code “Newclient”
The post Suppose we have a binomial experiment in which success is defined appeared first on Superb Professors.
Case study one page Case study one page Case study one page Case study one…
Business Calculus quiz that is 10 questions and has an hour time limit. Must be…
Write a 175- to 265-word response to the following: What constitutes “robust interoperability,†and what…
For this News Briefing Quest task , pick and analyze a U.S. political news article…
ACC 610 Milestone TwoGuidelines and Rubric This is the secondof three milestone assignments that will…
Please answer the questions in the attachment. I have sent you the required materials. Send…