Question

14. The health of the adult dinosaur population in Jurassic Park is monitored by periodic measurements from drugged and sleeping animals. A sample of 54 dinosaurs has mean height of 182.9 in. Assuming that “sigma” is known to be 121.8 in., use a 0.05 significance level to test the claim that the population mean of all such dinosaur heights should be greater than 150 in.

Answer 1

Answer:

n= 54,   = 121.8, = 150

= 182.9, = 0.05

null and alternative hypothesis is

Ho:     150

H1:   > 150

formula for test statistics is

z = 1.98

test statistics Z = 1.98

calculate P-Value

P-Value = 1 - P(z < 1.98 )

using normal z table we get

P(z < 1.98 ) = 0.9761

P-Value = 1 - 0.9761

P-Value = 0.0239

Decision rule is

Reject Ho if ( P-Value) ( )

here, ( P-Value = 0.0239) ( = 0.05 )

Hence, Null hypothesis is rejected.

There is enough evidence to conclude that the population mean of all such dinosaur heights should be greater than 150 in.