Question

6. It is claimed that the mean annual starting salary at a company is greater than $35,000. The mean salary from
a sample of 50 employees is $35,500. Assuming that the population is normally distributed and has a standard
deviation is $1,500, test the claim at the .10 significance level (α=.10) using the p-value method.

Answer 1

this is the right tailed test .  

The null and alternative hypothesis is ,

H0 :   = 35000

Ha : > 35000

Test statistic = z

= ( - ) / / n

= (35500-35000) / 1500/ 50

=2.36

P(z > 2.36) = 1 - P(z <2.36 ) = 1-0.9909=0.0091 using z table

P-value = 0.0091