A nutritionist suspected that her company's clients had below average cholesterol. They obtained a random sample of clients of the same age and gender. These clients had a mean cholesterol level of (millimoles per liter). To see how likely a sample like this was to happen by random chance alone, the nutritionist performed a simulation. They simulated samples of cholesterol levels from a normal population with a mean of and a standard deviation of (these are generally accepted values for people with the same age and gender of those in the sample). They recorded the mean of the cholesterol levels in each sample. Here are the sample means from their samples: A histogram plots frequency versus simulated sample means. The x axis has a scale from 4.1 to 5.0 with a bin size of 0.1. The distribution is slightly right skewed with frequencies as follows. 4.1 to 4.2, 3. 4.2 to 4.3, 0. 4.3 to 4.4, 6. 4.4 to 4.5, 8. 4.5 to 4.6, 12. 4.6 to 4.7, 16. 4.7 to 4.8, 7. 4.8 to 4.9, 4. 4.9 to 5.0, 4. They want to test vs. where is the mean cholesterol level for all clients like those sampled. Based on these simulated results, what is the approximate -value of the test? Note: The sample result was . Choose 1 answer:
