Answer :

Final answer:

The z-score depends on the mean and standard deviation of the dataset. The question lacks this information, so a specific z-score can't be provided based on the choice provided.

Explanation:

To find the z-score corresponding to an observation of 4.7, we need further information such as the mean (average) and the standard deviation of the dataset. The z-score measures the number of standard deviations a data point is away from the mean of the data. The formula for the z-score is z = (X - μ) / σ, where X is the observed value, μ is the mean and σ is the standard deviation.

However, based on your options: a) 1.64 b) -1.64 c) 1.02 d) -1.02, I suspect you are referring to a context where the z-score should come from a standard normal distribution table. In this case, without closely knowing the given percentile or the probability area under the curve we can't give the correct answer. Please provide more details so that we can assist you better.

Learn more about Z-score here:

https://brainly.com/question/15016913

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