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Which of the following is NOT a property of the Student's t​ distribution?
Choose the correct answer below.

A) The student t distribution is different for different sample sizes.
B) The Student t distribution has the same general symmetric bell shape as the standard normal​ distribution, but it reflects the greater variability that is expected with small samples.
C) The Student t distribution has a mean of t equals 0.
D) The standard deviation of the Student t distribution is s equals 1.

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Nestor Rutherford
Nestor RutherfordLv2
13 Mar 2020
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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 larger 

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

(d) becomes negative.

 

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

(a) The sample proportion 

(b) The population proportion 

(c) The population mean

(d) The population mean

 

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.

 

 

Which of the following is NOT a property of the sampling distribution of the variance? Choose the correct answer below

A. The sample variances target the value of the population variance

B. The mean of the sample variances is the population variance

c. The expected value of the sample variance is equal to the population variance

D. The distribution of sample variances tends to be a normal distribution

Which of the following is not appropriate to use the t-confidence interval for μ

a) The variable has a Normal distribution

b) The population standard deviation, ơ, is known.

c) The sample size is greater than 30.

d) The sample is based on a simple random sample (SRS).

e) All of the above are appropriate.

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