Question

probability that the sample mean fat consumption of the 34 randomly selected males in the US age 40 to 49 is less than 103 g. Round final answer to 4 decimal places. DO NOT use the rounded standard deviation from part e in this computation. Use the EXACT value of the standard deviation with the square root. h) Find the probability that the sample mean fat consumption of the 34 randomly selected males in the US age 40 to 49 is less than 101.7 g. Round final answer to 4 decimal places. DO NOT use the rounded standard deviation from part e in this computation. Use the EXACT value of the standard deviation with the square root. Question Help: Video □ Message instructor

Answer 1

The task involves calculating the probability using the normal distribution to find the chance that a sample mean falls below a certain level, but we need the exact population mean and standard deviation to calculate it.

Step-by-step explanation:

The question is asking about probability and involves using the normal distribution to find the likelihood of the sample mean for fat consumption (or other statistics in different questions) falling below a certain value given a known population mean and standard deviation. When we have a sample of size n from a normally distributed population, the distribution of the sample mean will also be normal (Central Limit Theorem) with mean μ (the population mean) and standard deviation σ/√n (the population standard deviation divided by the square root of the sample size).

For the given scenario, to find the probability that the sample mean of fat consumption for 34 randomly selected males is less than 103 g, we would need the population mean and the population standard deviation. These are not provided in the snippet, thus we cannot compute the probability. However, if we had those values, we could utilize the Z-score formula (Z = (X - μ) / (σ/√n)) to find the Z-score for a sample mean of 103 g, then use the standard normal distribution to find the corresponding probability.