Question

Question 1

A binomial distribution reflects two possible outcomes, which can be denoted as "success and failure"

True

False

1 points

Question 2

As a binomial distribution is discrete, we can not ever use the normal distribution?

True

False

1 points

Question 3

The text mentions that in order to use the normal distribution for binomial distributions that EITHER n(p) OR n(q) must be > 5.

True

False

1 points

Question 4

The reason that both n(p) and n(q) are > 5 is that otherwise the distribution is likely skewed

True

False

1 points

Question 5

The reason that the distribution should not be skewed is that the normal distribution assumes that symmetrical distribtuion

True

False

1 points

Question 6

Using ONLY the 68, 95, and 99.7 empirical rule, what is the probability that a outcome will be between the mean and one standard deviation above the mean? Give your answer to two decimal places.

1 points

Question 7

Using the empirical rule (68,95, 99.7) ONLY what is the probability that an outcome will be below the mean by more than 2 standard deviations? Give you answer in four decimal places

1 points

Question 8

Using the
**Exce**l function, what is the probability of an
outcome between -1 and + 1 standard deviations? Input your answer
to four decimal places

1 points

Question 9

What is the z-score given a mean of .36, a standard deviation of .048 and a x-value of .32? Give you answer to 4 decimal places

1 points

Question 10

Give a z-score of -.8333, what is the probability that an outcome will be greater than that? Give your probability to four decimal places.

Answer #1

Question 3
The text mentions that
in order to use the normal distribution for binomial distributions
that EITHER n(p) OR n(q) must be > 5.
True
False
Question 4
The reason that both
n(p) and n(q) are > 5 is that otherwise the distribution is
likely skewed
True
False
Question 5
The reason that the
distribution should not be skewed is that the normal distribution
assumes that symmetrical distribtuion
True
False
Question 6
Using ONLY the 68, 95,
and 99.7...

1.
Assume that a procedure yields a binomial distribution with
n=788 trials and the probability of success for one trial is p=0.67
.
Find the mean for this binomial distribution.
(Round answer to one decimal place.)
μ=
Find the standard deviation for this distribution.
(Round answer to two decimal places.)
σ=
Use the range rule of thumb to find the minimum usual value μ-2σ
and the maximum usual value μ+2σ.
Enter answer as an interval using square-brackets round to 4...

A binomial probability distribution has p = 0.20 and n =
100.
(d) What is the probability of 17 to 23 successes? Use the
normal approximation of the binomial distribution to answer this
question. (Round your answer to four decimal places.)
(e) What is the probability of 14 or fewer successes? Use the
normal approximation of the binomial distribution to answer this
question. (Round your answer to four decimal places.)

A random sample of size n = 40 is selected from a binomial
distribution with population proportion p = 0.25. (a) What will be
the approximate shape of the sampling distribution of p̂?
approximately normal skewed symmetric Correct: Your answer is
correct. (b) What will be the mean and standard deviation (or
standard error) of the sampling distribution of p̂? (Round your
answers to four decimal places.) mean 0.25 Correct: Your answer is
correct. standard deviation 0.0685 Correct: Your answer...

The probability distribution for the number of bacterial
colonies on a square foot of kitchen can be modeled by a Binomial
Distribution.
True False
The age distribution of residents in retirement communities is
right skewed. The average age of residents in one very large
residential retirement community is 79 years with standard
deviation 5.8 years. A simple random sample of 100 residents is to
be selected, and the sample mean age x̅ of these residents will be
computed. We know...

Assume that a procedure yields a binomial distribution with
n=228n=228 trials and the probability of success for one trial is
p=0.29p=0.29.
Find the mean for this binomial distribution.
(Round answer to one decimal place.)
μ=μ=
Find the standard deviation for this distribution.
(Round answer to two decimal places.)
σ=σ=
Use the range rule of thumb to find the minimum usual value μ–2σ
and the maximum usual value μ+2σ.
Enter answer as an interval using square-brackets only with whole
numbers.
usual...

Suppose we have a binomial distribution with n trials
and probability of success p. The random variable
r is the number of successes in the n trials, and
the random variable representing the proportion of successes is
p̂ = r/n.
(a) n = 44; p = 0.53; Compute P(0.30
≤ p̂ ≤ 0.45). (Round your answer to four decimal
places.)
(b) n = 36; p = 0.29; Compute the probability
that p̂ will exceed 0.35. (Round your answer to four...

Assume that a procedure yields a binomial distribution with
n=826n=826 trials and the probability of success for one trial is
p=p=1/12.
Find the mean for this binomial distribution.
(Round answer to one decimal place.)
μ=μ=
Find the standard deviation for this distribution.
(Round answer to two decimal places.)
σ=σ=
The range rule of thumb says that the the minimum usual value is
μ-2σ and the maximum usual value is μ+2σ.
Use this to find the minimum and maximum usual values....

1) American ladybugs have an average adult length of 1 cm with a
known standard deviation of 0.2 cm. The population of American
ladybugs in Raleigh was around 2176200 last spring. Assume a normal
distribution for the lengths of adult American ladybugs.
Your niece asks you what's the probability of a random ladybug in
Raleigh being bigger than 1.5 cm. Is it appropriate to calculate
this probability?
Select one:
a. No, because the sample size is less than 30.
b....

A random sample of size n = 50 is selected from a
binomial distribution with population proportion
p = 0.8.
Describe the approximate shape of the sampling distribution of
p̂.
Calculate the mean and standard deviation (or standard error) of
the sampling distribution of p̂. (Round your standard
deviation to four decimal places.)
mean =
standard deviation =
Find the probability that the sample proportion p̂ is
less than 0.9. (Round your answer to four decimal places.)

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