Non normality on confidence interval
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I've constructed a confidence interval for one mean under the assumption that the distribution follows a normal distribution. I am to comment on the importance of normality for the confidence interval. If there are consequences for the confidence interval when data is non normal distributed, what are they?
statistics normal-distribution confidence-interval
asked Dec 14 '18 at 20:57
RubyRobyRubyRoby
1
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add a comment |
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I've constructed a confidence interval for one mean under the assumption that the distribution follows a normal distribution. I am to comment on the importance of normality for the confidence interval. If there are consequences for the confidence interval when data is non normal distributed, what are they?
statistics normal-distribution confidence-interval
asked Dec 14 '18 at 20:57
RubyRobyRubyRoby
1
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If you know the variance of the distribution, then using a standard normal distribution for the confidence interval works, but if the variance is unknown, then you need to use a $t$-test
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– gd1035
Dec 14 '18 at 21:06
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Yes, and I've done that. I need to comment on the validity of the interval if the distribution was non normal
$endgroup$
– RubyRoby
Dec 14 '18 at 21:21
add a comment |
$begingroup$
I've constructed a confidence interval for one mean under the assumption that the distribution follows a normal distribution. I am to comment on the importance of normality for the confidence interval. If there are consequences for the confidence interval when data is non normal distributed, what are they?
statistics normal-distribution confidence-interval
asked Dec 14 '18 at 20:57
RubyRobyRubyRoby
1
$endgroup$
I've constructed a confidence interval for one mean under the assumption that the distribution follows a normal distribution. I am to comment on the importance of normality for the confidence interval. If there are consequences for the confidence interval when data is non normal distributed, what are they?
statistics normal-distribution confidence-interval
statistics normal-distribution confidence-interval
asked Dec 14 '18 at 20:57
RubyRobyRubyRoby
1
asked Dec 14 '18 at 20:57
RubyRobyRubyRoby
1
asked Dec 14 '18 at 20:57
RubyRobyRubyRoby
1
asked Dec 14 '18 at 20:57
RubyRobyRubyRoby
1
asked Dec 14 '18 at 20:57
RubyRobyRubyRoby
1
1
$begingroup$
If you know the variance of the distribution, then using a standard normal distribution for the confidence interval works, but if the variance is unknown, then you need to use a $t$-test
$endgroup$
– gd1035
Dec 14 '18 at 21:06
$begingroup$
Yes, and I've done that. I need to comment on the validity of the interval if the distribution was non normal
$endgroup$
– RubyRoby
Dec 14 '18 at 21:21
add a comment |
$begingroup$
If you know the variance of the distribution, then using a standard normal distribution for the confidence interval works, but if the variance is unknown, then you need to use a $t$-test
$endgroup$
– gd1035
Dec 14 '18 at 21:06
$begingroup$
Yes, and I've done that. I need to comment on the validity of the interval if the distribution was non normal
$endgroup$
– RubyRoby
Dec 14 '18 at 21:21
$begingroup$
If you know the variance of the distribution, then using a standard normal distribution for the confidence interval works, but if the variance is unknown, then you need to use a $t$-test
$endgroup$
– gd1035
Dec 14 '18 at 21:06
$begingroup$
If you know the variance of the distribution, then using a standard normal distribution for the confidence interval works, but if the variance is unknown, then you need to use a $t$-test
$endgroup$
– gd1035
Dec 14 '18 at 21:06
$begingroup$
Yes, and I've done that. I need to comment on the validity of the interval if the distribution was non normal
$endgroup$
– RubyRoby
Dec 14 '18 at 21:21
$begingroup$
Yes, and I've done that. I need to comment on the validity of the interval if the distribution was non normal
$endgroup$
– RubyRoby
Dec 14 '18 at 21:21
add a comment |
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$begingroup$
If you know the variance of the distribution, then using a standard normal distribution for the confidence interval works, but if the variance is unknown, then you need to use a $t$-test
$endgroup$
– gd1035
Dec 14 '18 at 21:06
$begingroup$
Yes, and I've done that. I need to comment on the validity of the interval if the distribution was non normal
$endgroup$
– RubyRoby
Dec 14 '18 at 21:21