Question

Given the sample statistics, determine if you should use the t distribution, normal distribution, or neither to construct a confidence interval for an estimate of From a sample of 19 observations, x 3.78; o 0.64 and the population appears to be very skewed. Normal distribution Neither t distribution

Answer 1

We know

A normal distribution has the following properties:
The mean, median and mode of any normal distribution will always be equal.A normal curve is symmetric about the curve’s centre always.half of the values that is 50% are less than the mean and half of the values are greater than the mean.

We know T DISTRIBUTION:t-Distribution, also known as Student’s t-Distribution is the probability distribution that estimates the population parameters when the sample size is small and the population standard deviation is unknown. It resembles the normal distribution and as the sample size increases the t-distribution looks more normally distributed with the values of means and standard deviation of 0 and 1 respectively.

So above sample is skewed by T DISTRIBUTION

OPTION 3 IS CORRECT