Question

1. University administrators have historical records that indicate that between May and Aug 2019 the mean time between hits on the UTD homepage was 1 min. They suspect that in fact the mean time between hits has decreased (i.e. traffic is up) - sampling 40 inter-arrival times from records for November 2019 gives: X¯ of 1.7 min and s of 1.9 min. •

What is a p-value for this hypothesis testing?

Answer 1

Solution :

= 1

=1.7

S =1.9

n = 40

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 1

Ha : < 1

Test statistic = t

= ( - ) / S / n

= (1.7-1) / 1.9 / 40

= 2.33

Test statistic = t =  2.33

P-value =0.9875