What is the probability of a score being greater than 2.21 Z, as well as 3 other related questions(in description)?

What is the probability of a score being greater than 2.21 Z, as well as 3 other related questions(in description)?

Use this information to answer the following questions: Population: µ = 36 σ = 4 Sample: x ̅ (mean of the sample)=42 n (sample size)=16 1) What is the probability of a score being greater than 2.21 Z? 2) What is the probability of a score being less than 2.21 Z? 3) Find x for ± 2.21 Z. 4) Is the sample significantly different from the population? (Use the one sample z-test.) Please show how you came to your answers. I was lost in this class a little – and then the professor gave us this problem, and I don’t know where to even start to get the answers.

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