Question

Problem 4

A web-based travel search engine is designed to complete searches for cruise ships involving price retrieval and scheduling information. You need to analyze how long it takes to complete a typical search. The search time for 2500 randomly selected searches is recorded and determined as the sample mean = 0.94 seconds and sample standard deviation = 0.36 seconds. Choose the most typical value for C and provide the confidence interval.

Answer 1

The most typical value of C is 95%

The 95% confidence interval for population mean is

Given

0.94

s= 0.36

n= 2500

degrees of freedom = n-1 = 2500-1 = 2499

For 95% confidence with 2499 df , critical value of t is , tc =1.96

Thus 95% confidence interval for population mean search time is

=

= (0.93 , 0.95)

Thus 95% confidence interval for population mean search time is ( 0.93 seconds , 0.95 seconds)