QUESTION 12 If there are 21 observations in a sample, how many degrees of freedo

Question

QUESTION 12

If there are 21 observations in a sample, how many degrees of freedom are there? (The context here is for finding a t value when constructing a confidence interval or testing a hypothesis for the population mean).

QUESTION 13

If there are 45 observations then how many degrees of freedom are there for the t distribution (for a sample mean)?

QUESTION 14

If there are 33 observations then how many degrees of freedom are there for the t distribution (for a sample mean)?

QUESTION 15

If the sample size is 73 and the population standard deviation is 11.93 then the standard error is ? (Answer to two decimal places)

Explanation / Answer

DF for a sample=total number of observation -1

So,21 observation means 20 DF.

45 observations mean 44 DF.

33 observations mean 32 DF.

Population standard deviation is 11.93. Sample size is 73 , Sample Standard error is 11.93/sqrt(73)=1.3963

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