Suppose 38 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage is.

preprekomW

preprekomW

Answered question

2021-09-12

Suppose 38 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage is. What is the probability that the sample average will be between $30.00 and $31.00?

Answer & Explanation

nitruraviX

nitruraviX

Skilled2021-09-13Added 101 answers

As the population standard deviation is mentioned here, we can use standard normal z table to estimate the probabilities xmeans.dn
Mean = 30.67 S.d = 3 n = 38 P(30<x<31)=p(x<31)p(x<30)
P(x<31)
Z=3130.67338=0.68 From z table, P(z<0.68)=0.7517
P(x<30)
Z=3030.67338=1.38 From z table, P(z<1.38)=0.0838 Required probability is 0.75170.0838=0.6679

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