Question

the theoretical distribution of sampling means approximates the normal curve of N is greater than or equal to 50 regardless of the shape of the distribution on Y. this is referred to as the...

Answer #1

**Solution:**

We are given that: the theoretical distribution of sampling means approximates the normal curve of N is greater than or equal to 50 regardless of the shape of the distribution on Y.

This is referred to as the Central limit theorem, which states that: When the sample size is sufficiently large, the shape of sampling distribution of sample means is approximately Normal with mean of sample means = and standard deviation of sample means is:.

**Thus given statement is referred to Central Limit
Theorem.**

Question 2: Which of the following statements about the
sampling distribution of means is not true?
A. A sample distribution's mean will always equal the parent
population distribution's mean
B. The sampling distribution of means approximates the normal
curve.
C. The mean of a sampling distribution of means is equal to the
population mean.
D. The standard deviation of a sampling distribution of means is
smaller than the standard deviation of the population.

True or False:
___________ According to the Central Limit Theorem, the sampling
distribution of means approximates a normal distribution given
sample sizes greater than 30.
___________ According to the textbook, single sample t-tests are
used instead of single sample z-tests when the population standard
deviation (σ) is unknown.
___________ A set of events is said to be mutually exclusive
when it contains all possible outcomes.
___________ Two-tailed tests predict the direction of the
effect

Can a normal approximation be used for a sampling distribution
of sample means from a population with μ=43 and σ=8, when
n=36?
Answer
TablesKeypad
Yes, because the mean is greater than 30.
No, because the sample size is more than 30.
Yes, because the sample size is at least 30.
No, because the standard deviation is too small.

The shape of the sampling distribution is always approximately
normal?
a) only if the shape of the population is symmetrical
b) only if the population is normally distributed
c) only if the standard deviation of the samples are known
d) regardless of the shape of the population

The spread or variation in the sampling distribution of means is
called the __________ of the mean.
Group of answer choices:
Standard error
Standard deviation
Standardization
Standard dispersion
----
The Central Limit Theorem tells us that : .
Group of answer choices
- If we keep taking samples from a population, and plot those
means on a curve, they will form a bell-shaped, or normal,
curve.
- Standard error is a measure of how much the sample means do
vary....

Describe the sampling distribution of ModifyingAbove p with
caretp. Assume the size of the population
ism25,000.n=900,p=0.116
Describe the shape of the sampling distribution of
ModifyingAbove p with caretp.
Choose the correct answer below.
The shape of the sampling distribution of
ModifyingAbove p with caretp
is not normal because
n less than or equals 0.05 Upper Nn≤0.05N
and np left parenthesis 1 minus p right parenthesis less than
10.np(1−p)<10.
B.The shape of the sampling distribution of
ModifyingAbove p with caretp
is...

Describe the sampling distribution of ModifyingAbove p with
caret. Assume the size of the population is 30 comma 000.
nequals600, pequals0.119 Describe the shape of the sampling
distribution of ModifyingAbove p with caret. Choose the correct
answer below. A. The shape of the sampling distribution of
ModifyingAbove p with caret is not normal because n less than or
equals 0.05 Upper N and np left parenthesis 1 minus p right
parenthesis less than 10. B. The shape of the sampling...

explain the difference between creating a sampling
distribution (i.e. plotting sample means or sample proportions in a
probability distribution) vs. plotting individual data
points.
explain why it makes sense that increasing the
sample size should decrease the standard deviation in a normal
distribution. Explain what this does to the overall shape of the
normal curve

Which of the following statements about the sampling
distribution of the sample mean, ¯xx¯ , is the correct?
1The distribution is normal regardless of the shape of the
population distribution, as long as the sample size, n, is large
enough.
2The distribution is normal regardless of the sample size, as
long as the population distribution is normal.
3The distribution's mean is the same as the population mean.
4The distribution's standard deviation is smaller than the
population standard deviation.
5All of...

Can a normal approximation be used for a sampling distribution
of sample means from a population with μ=53 μ=53 and σ=9 σ=9 , when
n=64 n=64 ?

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