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As the sample size becomes larger, the sampling distribution of the sample mean approaches a:

a. binomial distribution

b. chi-square distribution

C. Poisson distribution

d. None of the above answers is correct

e. t distribution

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Karol A.
Karol A.Lv10
25 Feb 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

6. As the test statistic becomes larger, the p-value

(a) gets smaller

(b) becomes largerĀ 

(c) stays the same, since the sample size has not been changed

(d) becomes negative.

Ā 

7. To describe the sampling distribution of the sample proportion, we use

(a) The sample proportionĀ 

(b) The population proportionĀ 

(c) The population mean

(d) The population mean

Ā 

8. When small samples are used to estimate a population mean, in cases where the population standard deviation is unknown and the original distribution is normal:

(a) There always will be a large amount of sampling error.

(b) the t-distribution must be used to obtain the critical value.

(c) the resulting margin of error for a confidence interval estimate will tend to be fairly small.

(d) the z distribution must be used to obtain the critical value.

Ā 

Ā 

As the size of the sample increases, what happens to the shape of the sampling distribution of sample means?

A. It becomes negatively skewed.

B. It becomes uniformly distributed.

C. It becomes positively skewed.

D. It becomes approximately normal.

Which of the following is not a conclusion of the central limitā€‹ theorem?

A) The distribution of the sample means ā€‹will, as the sample sizeā€‹ increases, approach a normal distribution.

B) The distribution of the sample data will approach a normal distribution as the sample size increases.

C) The standard deviation of all sample means is the population standard deviation divided by the square root of the sample size.

D) The mean of all sample means is the population mean Ī¼.

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