The heights are measured for supermodels Niki Taylor Nadia A

The heights are measured for supermodels Niki Taylor, Nadia Avermann, Claudia Schiffer, Elle MacPherson, Christy Turlington, Bridget Hall, Kate Moss, Valeria Mazza, and Kristy Hume. They have a mean of 70.2 inches and a standard deviation of 1.5 inches. Use a 0.01 significance level to test the claim that supermodels have heights with a mean that is greater than 63.6 (the mean height of women from the general population).

What type of testing is this?

Solution

x bar- 70.2

s= 1.5

H0: mu = 63.6

Ha: mu >63.6

Sample mean = 70.2

Std error = std dev/rt n = 1.5/3 = 0.5

Mean difference = 63.6-70.2 = -6.6

t statistic = -6.6/0.5 = -13.2

df =8

p value one tailed = < .00001.

The result is significant at p < .01.

Hence accept the claim that the supermodels have height >63.6 inches

This is a test for testing sample mean with population mean ( t test since n is small)