Question

Registered nurses earned an average annual salary of $69,110. For that same year, a survey was conducted of 41 California registered nurses to determine if the annual salary is higher than $69,110 for California nurses. The sample average was $71,121 with a sample standard deviation of $7,489. Conduct a hypothesis test.

Answer 1

Solution :

= 69110

=71121

S = 7489

n = 41

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 69110

Ha : > 69110

Test statistic = t

= ( - ) / S / n

= (71121 - 69110 ) / 7489 / 41

= 1.719

Test statistic = t = 1.719

P-value =0.0466