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The t distribution should be used whenever.

(a)  None of the answers is correct.

(b) the sample size is less than 30

(c)  the population is not normally distributed

(d) the sample standard deviation is used to estimate the population standard deviation

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Karol E.
Karol E.Lv8
18 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

In interval estimation, the t distribution is applicable only when

a) the population has a mean of less than 30.

b) the sample standard deviation (s) is given instead of the population standard deviation (6).

c) the variance of the population is known.

d) the standard deviation of the population is known.

e) we will always use the t distribution.

Which of the following is not a conclusion of the central limit​ theorem?

A) The distribution of the sample means ​will, as the sample size​ 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 μ.

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample mean, x¯\bar{x}ˉ, is determined to be 104.3 and the sample standard deviation, s, is determined to be 15.9. (a) Construct the 90% confidence interval for the population mean if the sample size, n, is 15. (b) Construct the 90% confidence interval for the population mean if the sample size, n, is 25. How does increasing the sample size affect the width of the interval? (c) Construct the 95% confidence interval for the population mean if the sample size, n, is 15. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the confidence interval? (d) Construct the 90% confidence interval for the population standard deviation if the sample size, n, is 15.

 

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