In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is $4,000. When the sample size isn= 30, there is a .5064 probability of obtaining a sample mean within +/- $500 of the population mean.

1.What is the probability that x is within 500 of the population mean if a sample of size 60 is used (to 4 decimals)?

1. Answer part (a) for a sample of size 120 (to 4 decimals).

7.5 Pra o/index.html?deploymentld=59914023676212817384117008860&elSBN=9780357131466&id=905935500&snapshotld=1933114& # MINDTAP Q Search this c ent: 7.5 Practice Assignment Score: 0.00% Save Submit Assignment for Grading Exercise 07.19 (Sampling Distribution of x) Question 1 of 2 Check My Work (7 remaining) In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is $4000. For n - 30, there is a 0.5064 probability of obtaining a sample mean within $500 of the population mean. Use z-table. a. What is the probability that @ is within $500 of the population mean if a sample of size 60 is used (to 4 decimals)? b. Answer part (a) for a sample of size 120 (to 4 decimals). Check My Work (7 remainin O- Icon Key