A study was done to estimate the mean weight loss for dieters. A simple random s

Question

A study was done to estimate the mean weight loss for dieters. A simple random sample of 51 dieters was chosen. Their mean weight loss was 2.0kg and their standard deviation was 3.1kg. Using 90% confidence, the confidence interval would be (1.3, 2.7). Is the confidence interval affected by the fact that the data appear to be from a population that is not normally distributed? Yes, because the sample size is not large enough. No, because the sample size is large enough. No, because the population resembles a normal distribution. Yes, because the population does not exhibit a normal distribution.

Explanation / Answer

Confidence interval gives us range of mean. According to central limit theorem, if random samples of n30 observations are drawn from a population with finite and standard deviation , then, the sampling distribution of the sample mean is approximately normally distributed. Therefore, Option B is the correct option.

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