Question: Please answer this multiple part problem entirely, thank you! 3 Inference about the Mean Table 1: Cumulative distribution function of the standard Normal distribution Table

Please answer this multiple part problem entirely, thank you!

Please answer this multiple part problem

3 Inference about the Mean Table 1: Cumulative distribution function of the standard Normal distribution Table 2: Inverse of the cumulative distribution function of the standard Normal distribution For a sample of n=25 from a Normal distribution with mean =100 and standard deviation =16 : 8. What is the standard deviation x of the sample mean, x ? (A)16(B)3.2(C)1(D)0.64 9. What is the area to the right of 109.6 in the distribution of X ? 10. What is the probability that X is between 90.4 and 109.6 ? (A).68(B).95(C).9973(D).999 11. What is the 95th percentile of the distribution of X ? (A) 100+1.645(3.2) (B) 100+1.96(3.2) (C) 100+0.6745(3.2) (D) 100 12. What is the margin of error (m.e.) for a 95 percent confidence interval (CI) for the true mean ? (A) 1.96(3.2) (B) 1.645(3.2) (C) 0.6745(3.2) (D) 1.282(3.2) 13. The .05-level test of the null hypothesis H0:=100 against alternatives Ha:>100 is to reject H0 if x exceeds the cut-off point c, where c=100+1.645x. What is the value of c ? (A) 100 (B) 103.2 (C) 105.264 (D) 110.1

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