We use the t distribution for the statistical inference of the population mean when the underlying population standard deviation is not known. Under the assumption that the population is normally distributed, find tα/2, df for the following scenarios. Use Table 2. (Round your answers to 3 decimal places.) tα/2, df

a. A 90% confidence level and a sample of 28 observations.

b. A 95% confidence level and a sample of 28 observations.

c. A 90% confidence level and a sample of 15 observations.

d. A 95% confidence level and a sample of 15 observations

Question

Noemi Kramer

Mathematics

10 October, 23:56

We use the t distribution for the statistical inference of the population mean when the underlying population standard deviation is not known. Under the assumption that the population is normally distributed, find tα/2, df for the following scenarios. Use Table 2. (Round your answers to 3 decimal places.) tα/2, df

a. A 90% confidence level and a sample of 28 observations.

b. A 95% confidence level and a sample of 28 observations.

c. A 90% confidence level and a sample of 15 observations.

d. A 95% confidence level and a sample of 15 observations

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Answers (1)

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Krista Fox · Answer 1

Step-by-step explanation:

Since population std deviation is not known, we use t critical value for testing of hypothesis.

a) 90% conf level when n = 28

df = 27, t critical = 1.706

b) 95% 28

df = 27 and t critical = 2.052

c) 90% and 15

df = 14 and t critical = 1.761

d) 95% and n = 15

df = 14: t critical = 2.145