Hypothesis test for single mean.
According to American Express, it is hypothesized that the average American has travelled to 8.4 states. WGN-TV felt this information was wrong. They did a survey of 22 Chicago area residents and found that they had travelled to an average of 6.5 states. Suppose the standard deviation for this problem was 1.1. Do a 1-sample t-test to see if people in Chicago have travelled to fewer states than people nationwide. Use the 10% (.10) level of significance.
From the information above, identify these variables and their values:
X bar= ____________ µ= ____________ SD=____________
N = ____________ df= ____________ α= ____________
T= ____________ ... Use your table to find a critical value for "t".
T= ____________ ... Compute a test value for "t".
YES - NO (circle one) Do Chicagoans travel to significantly fewer states than people nationwide?
FORMULAE:
• T = Mean Score (x bar) - Hypothesized value of population mean (µ) / SEM
• SEM = SD/√n
• df = n -1