In: Statistics and Probability
8. Two friends, Jennifer and Katie, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Jennifer determines from a random sample of 35 shifts that she had a mean of 5.2 calls per shift. She knows that the population standard deviation for her shift is 1.3 calls. Katie calculates from a random sample of 34 shifts that her mean was 4.8 calls per shift. She knows that the population standard deviation for her shift is 1.2 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.05 level of significance.
Final conclusion: We cannot support teh calim that the there is a difference between the means number of calls for the two shifts.