Question

11. A rational subgroup size when applying the central limit theorem is approximately: a) 5, b) 2, C) 10, d) none of the above

12. You measure the height of 1000 men and the resulting distribution is normal. How many men would you expect to be 1 standard deviation either side of the central tendency?

13. When performing a one sample t-test, The statement: X=5, can be classified in hypothesis testing as: a) Ho, b) Ha, c) Hp, d) Alternate Hypothesis, e) none are correct

14. When setting up an hypothesis test the requirement that Mu>10 can be classified as: a) Ha, b) Ho, c) Null Hypothesis, d) Opposite hypothesis, e) None of the answers are correct

15. The distribution model used for DPU is: a) Poisoon, b) Binomial, c) Normal, d) Chi Squared

Answer #1

11. Answer is option a). 5

Explanation:

According to Central limit theorem, the distribution of means of subgroup from any distribution approaches a normal distribution when the size of the subgroup increases.

Normality of a data increases when means of subgroups of size 3 and above is taken. As the size of the subgroup increases, the variations in the distribution decreases and it starts appearing more as a normal distribution. From the means of subgroup of size 5, normality gets clearly visible. So, Rational subgroup size when applying central theorem is 5.

Which of the following is NOT a conclusion of the Central Limit
Theorem? Choose the correct answer below.
A. The distribution of the sample means x overbar will, as the
sample size increases, approach a normal distribution.
B. The mean of all sample means is the population mean mu.
C. The distribution of the sample data will approach a normal
distribution as the sample size increases.
D. The standard deviation of all sample means is the population
standard deviation divided...

§ 1 Central Limit Theorem (CLT)
1. The CLT states: draw all possible samples of size
_____________ from a population.
The result will be the sampling distribution of the means will
approach the ___________________-
as the sample size, n, increases.
2. The CLT tells us we can make probability statements about the
mean using the normal distribution even though we know
nothing about the ______________-
3.
The standard error of the mean is
the ___________ of the sampling distribution of the...

(05.02 LC)
The Central Limit Theorem says that when sample size n is taken
from any population with mean μ and standard deviation σ when n is
large, which of the following statements are true? (4 points)
I. The distribution of the sample mean is exactly Normal.
II. The distribution of the sample mean is approximately
Normal.
III. The standard deviation is equal to that of the
population.
IV. The distribution of the population is exactly Normal.
a
I and...

1. Are the following statements TRUE
or FALSE?:
(a) According to the Central Limit Theorem, given a large sample
size (N > 30), then a normal probability plot of the
same data would necessarily follow a straight line.
(b) A 95% confidence interval for a population mean that does
not include zero would also mean that a hypothesis test on the same
data would yield a significant result at the .05 level.
(c) The mean of a t-distribution with 5...

Applying the Central Limit Theorem:
The amount of contaminants that are allowed in food products is
determined by the FDA (Food and Drug Administration). Common
contaminants in cow milk include feces, blood, hormones, and
antibiotics. Suppose you work for the FDA and are told that the
current amount of somatic cells (common name "pus") in 1 cc of cow
milk is currently 750,000 (note: this is the actual allowed amount
in the US!). You are also told the standard deviation...

Applying the Central Limit Theorem:
The amount of contaminants that are allowed in food products is
determined by the FDA (Food and Drug Administration). Common
contaminants in cow milk include feces, blood, hormones, and
antibiotics. Suppose you work for the FDA and are told that the
current amount of somatic cells (common name "pus") in 1 cc of cow
milk is currently 750,000 (note: this is the actual allowed amount
in the US!). You are also told the standard deviation...

74. When the sample size is changed from 2500 to 900, what is
the effect on the std. error?
A.
The new std error is 9/25 times the old error
B.
The new std error is 3/5 of the old error
C.
The new std error is 5/3 of the old error
D.
The correct answer is not among the choices.
E.
The new std error is 25/9 of the old error
67.
The test statistic for a certain left...

Using the central limit theorem, what is the distribution of
sample means when the population distribution is the
following?
Part (a)
rectangular
Part (b)
normally distributed
Part (c)
positively skewed
Part (d)
nonmodal
Part (e)
multimodal
Part (f)
negatively skewed

5. When considering our alternative hypothesis, words synonymous
with "larger, more, higher, further, bigger" would be suggest which
kind of hypothesis test?
A. Left tail B. 2 tail C. both A and B D. Right tail E. None of
the above are correct
6. When considering our alternative hypothesis, words synonymous
with "smaller, fewer, lower, decrease" would be suggest which kind
of hypothesis test?
A. Left tail B. 2 tail C. both A and B D. Right tail E. None...

Use the central limit theorem to find the mean and standard
error of the mean of the indicated sampling distribution. Then
sketch a graph of the sampling distribution. The per capita
consumption of red meat by people in a country in a recent year was
normally distributed, with a mean of 111 pounds and a standard
deviation of 38.7 pounds. Random samples of size 17 are drawn from
this population and the mean of each sample is determined. mu
Subscript...

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