Question

The pH of a liquid is a measure of its acidity or alkalinity. Pure water has a pH of 7, which is neutral. Solutions with a pH less than 7 are acidic while solutions with a pH greater than 7 or basic or alkaline. A random sample of lakes in Florida was taken and the pH was recorded for each lake. Summary statistics are given below. The primary question to answer is: "Is there evidence to indicate the mean pH of lakes in Florida is different than the neutral value of 7?" 01 median 03 max mean sd missing 3.6 5.8 6.8 7.4 9.1 6.5906 1.2884 53 The Central Limit Theorem states that the distribution of sample means will be approximately normal regardless of the shape of the data in the population as long as the sample size is "large enough", which is typically at least 30. From the choices below, which would you have the most concern that the distribution of sample means is not normal? The sample is not representative of the population. The population data are heavily skewed. O The sample mean is not equal to the population mean. The sample size is less than 30.

Answer 1

The sample size is less than 30

The general rule of thumb is that samples of size 30 or greater will have a fairly normal distribution regardless of the shape of the distribution of the variable in the population.