In: Statistics and Probability
A car insurance company has determined that the mean annual car insurance cost for a family in the town of Watlington is $1716. A researcher wants to perform a hypothesis test to determine whether the mean insurance cost for a family in the town of Putford is higher than this. The mean insurance cost for a random sample of 32 families in Putford was $1761. At the 10% significance level, do the data provide sufficient evidence to conclude that the mean insurance cost for a family in Putford is higher than $1716, the mean cost for a family in Watlington? Assume that the population standard deviation is $ 35.50. What is your conclusion?