Question

Really just need the LAST part but you can answer all if u want (D)

Output from a software package follows: One-Sample 2: Test of mu = 14.5 vs > 14.5 The assumed standard deviation = 1.1 Variable N Mean StDey SE Mean 16 15.016 1.015 2 (a) [1 point) Is this a one-sided or a two-sided test? Z 2 P ? (b) (3 points) Fill in the SE Mean, Z, and P. (c) [3 points] Use the normal table and the preceding data to construct a 95% lower bound on the mean. (d) [4 points) If the true mean is 15, which differs from hypothesized mean 14.5 by as much as 0.5, the test will detect this (i.e., reject Ho: u = 14.5) with a high probability 0.90. Find the required sample size. (Hint: Use sample size for a one-sided test on the mean, variance known)

Answer 1

Note this Z score has been use accordingly one sided test.

much as d) Given that true mech (M) = 15, which differ from hypothetised mean (Mo) = 14.5 by (d)=0.5 with higher probability o.go (1-2). PC (4- Me) <d)= ind since fest is one sided. Given assumed The required sample size for sample size for one sided test is Zao 5) T is 2 d Here acolo, Zoolo = 1.282 Thes, no 12.02.X !!) 1.282 x 1/2 0.5 nr 7.95 This nas Hare required sample size sire is 18