short answers (complete sentences are not required) Is it appropriate to use our methods to compute...

short answers (complete sentences are not required)

Is it appropriate to use our methods to compute confidence intervals or do a hypothesis test if you know the variable is approximately normally distributed, with no outliers and the sample size is 18?
Is it appropriate to use our methods to compute confidence intervals or do a hypothesis test if you know the variable is highly skewed with no outliers and the sample size is 100.
Is it appropriate to use our methods to compute confidence intervals or do a hypothesis test if you know the variable is highly skewed with no outliers and the sample size is 20.

Expert Solution

1) Is it appropriate to use our methods to compute confidence intervals or do a hypothesis test if you know the variable is approximately normally distributed, with no outliers and the sample size is 18-

Yes, it will be appropriate as the parent population follows normal distribution, and then it doesn't matter whether the smaple size is small or large.

2)Is it appropriate to use our methods to compute confidence intervals or do a hypothesis test if you know the variable is highly skewed with no outliers and the sample size is 100.

Yes, it will be appropriate, as the sample size is large enough so the sample distribution will follow the normal distribution.

3)Is it appropriate to use our methods to compute confidence intervals or do a hypothesis test if you know the variable is highly skewed with no outliers and the sample size is 20-

NO, Since the the data is highly skewed and the sample size is not large. So, the normality condition is not met.

orchestra answered 2 years ago

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