Question

QUESTION 2 Suppose height of college students can be modeled by the normal distribution. We believe the mean of this normal distribution is 1.72m. We randomly sample 18 students and from the sample, find an average of 1.69m and a standard deviation of 0.05m. (a) What is the standard error of ? (Round your answer to four decimal places.) (b) Suppose that the standard deviation of the population is known as 0.1m. What is the z score corresponding to X-1.847 (Do not approximate your answer)

Answer 1

Mean = $\mu$ = 1.72

Sample size = n = 18

Sample mean = $\bar{x}$ = 1.69

Sample standard deviation = s = 0.05

a)

The standard error of $\bar{x}$ is:

SE = = 0.0118

b)

Standard deviation = $\sigma$ = 0.1

$\bar{x}$ = 1.84

-μ σ/νη 1.84 – 1.72 0.1/18 0.12 0.0236 - = 5.0912