Question

A provincial minister claims the area of BCs provincial parks follows a normal distribution with average 137.6km2. An environmental group believes that the actual area is less than the reported figure. The group selects a random sample of 9 provincial parks which had an average of 109.11km2 and standard deviation of 88.99km2. At α=0.05, is there enough evidence to reject the provincial ministers claim?

Hypothesis Test (Four steps) and  Construct a 95% confidence interval for the average area of BCs provincial parks.

Answer 1

Solution :

= 137.6

=109.11

S =88.99

n = 9

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 137.6

Ha : < 137.6

Test statistic = t

= ( - ) / S / n

= (109.11-137.6) / 88.99 / 9

= −0.96

Test statistic = t =  −0.96

P-value =0.1825

= 0.05  

P-value >

0.1825 > 0.05

Fail to reject the null hypothesis .

There is sufficient evidence to claim that the population mean μ is less than 137.6, at the 0.05 significance level.