SkipCaptcha
232
edits
Changes
Jump to navigation
Jump to search
Created page with "'''Standard error''' is a number used when creating confidence intervals. Standard error is calculated by finding the Z* or T* of the desired interval,..."
'''Standard error''' is a number used when creating [[Confidence interval|confidence intervals]]. Standard error is calculated by finding the Z* or T* of the desired interval, then multiplying that Z* or T* by the standard deviation of the sample divided by the square root of sample size ''n''.
==Example==
Here's a sample question. Standard error will be in bold.
{{cquote|A random sample of Alzheimer's patients are tested to assess the amount of time in stage IV sleep. It has been hypothesized that individuals sufferering from Alzheimer's Disease may spend less time per night in the deeper stages of sleep. Number of minutes spent is Stage IV sleep is recorded for sixty-one patients. The sample produced a mean of 48 minutes with a standard deviation of 14 minutes of stage IV sleep over a 24 hour period of time. Compute a 95 percent confidence interval for this data. What does this information tell you about a particular individual's (an Alzheimer's patient) stage IV sleep?}}
Parametres:
:μ = 48
:σ = 14
:n = 61
Conditions:
:[[Simple random sample|SRS]]? Yes, given.
:[[Normality (statistics)|Normal]]? Large sample size. Yes.
:Independent? N>= 10n? Yes.
Calculation:
μ +- '''T*(σ/sqrt(n))'''
48 +- 2(14/sqrt(61))
48 +- 2(14/7.8102)
48 +- 3.58503 = (44.414, 51.58)
==Example==
Here's a sample question. Standard error will be in bold.
{{cquote|A random sample of Alzheimer's patients are tested to assess the amount of time in stage IV sleep. It has been hypothesized that individuals sufferering from Alzheimer's Disease may spend less time per night in the deeper stages of sleep. Number of minutes spent is Stage IV sleep is recorded for sixty-one patients. The sample produced a mean of 48 minutes with a standard deviation of 14 minutes of stage IV sleep over a 24 hour period of time. Compute a 95 percent confidence interval for this data. What does this information tell you about a particular individual's (an Alzheimer's patient) stage IV sleep?}}
Parametres:
:μ = 48
:σ = 14
:n = 61
Conditions:
:[[Simple random sample|SRS]]? Yes, given.
:[[Normality (statistics)|Normal]]? Large sample size. Yes.
:Independent? N>= 10n? Yes.
Calculation:
μ +- '''T*(σ/sqrt(n))'''
48 +- 2(14/sqrt(61))
48 +- 2(14/7.8102)
48 +- 3.58503 = (44.414, 51.58)