the average of of initial public offering prce for stocks in 1999 was $18 per share. at 1% significant level, conduct a hypothesis test to determine if that the mean offer price was $18 per share

Question

The following values are based on the random sample $15, $13.41, $17, $24, $15, $23, $12, $18, $16, $34, $14, $23, $18, $16, $10 1)1)Determine Ho and Ha 2_ determine randon variable 3)determine distributon for test 4) draw the graph 5) compare the preconceived alpha with the p-value make a decision, reject or not 6) write a claer conclusion using sentence

Answer 1

The sample statistics give a mean of $17.894 and a standard deviation of $6.011. So (2) x bar=$17.894 and s=$6.011. Sample size n=15. (3) Normal distribution is assumed since median ($16) is fairly close the mean ($17.894). The outlier $34 has skewed the distribution a little so that the mean>median.

(1) H0: µ=$18

Ha: µ≠$18

Significance level ɑ=0.01 (2-tail), so ɑ/2=0.005.

(4) The box plot shows that the distribution is positively skewed because of the outlier $34. This outlier has shifted the mean to the right of the median.

Test statistic T=(17.894-18)/(6.011/√15)=-0.0683. (5) This corresponds to a probability p-value of 0.473, only a little below the mean and much greater than the significance level of 0.005.

(6) We have insufficient evidence to refute the claim that the average public offering is $18 per unit.