An important component in the evaluating confidence interval and performing hypo
ID: 3430788 • Letter: A
Question
An important component in the evaluating confidence interval and performing hypothesis test is the critical value, and the critical value depends on what distribution we should apply. Please fill in the corresponding distribution (normal distribution or t distribution) in the following table.
Parameter
Requirements
Distribution for the Critical Value
One population Proportion p
(1) simple random sample
(2) conditions for the binomial distribution are satisfied
(3) np >= 5 and nq >= 5
One population Mean ?
(1) simple random sample
(2) the population is normally distributed or n > 30
(3) population standard deviation ? is unknown
One population Mean ?
(1) simple random sample
(2) the population is normally distributed
(3) population standard deviation ? is known
Parameter
Requirements
Distribution for the Critical Value
One population Proportion p
(1) simple random sample
(2) conditions for the binomial distribution are satisfied
(3) np >= 5 and nq >= 5
One population Mean ?
(1) simple random sample
(2) the population is normally distributed or n > 30
(3) population standard deviation ? is unknown
One population Mean ?
(1) simple random sample
(2) the population is normally distributed
(3) population standard deviation ? is known
Explanation / Answer
One population Proportion p
(1) simple random sample
(2) conditions for the binomial distribution are satisfied
(3) np >= 5 and nq >= 5
normal distribution
One population Mean ?
(1) simple random sample
(2) the population is normally distributed or n > 30
(3) population standard deviation ? is unknown
t distribution
One population Mean ?
(1) simple random sample
(2) the population is normally distributed
(3) population standard deviation ? is known
normal distribution
One population Proportion p
(1) simple random sample
(2) conditions for the binomial distribution are satisfied
(3) np >= 5 and nq >= 5
normal distribution
One population Mean ?
(1) simple random sample
(2) the population is normally distributed or n > 30
(3) population standard deviation ? is unknown
t distribution
One population Mean ?
(1) simple random sample
(2) the population is normally distributed
(3) population standard deviation ? is known
normal distribution
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