The housing market has recovered slowly from the economic crisis of 2008. Recently, in one large community, realtors randomly sampled 46 bids from potential buyers to estimate the average loss in home value. The sample showed the average loss was $8160 with a standard deviation of $500. Suppose a 95% confidence interval to estimate the average loss in home value is found. Complete parts a through c below. a) Suppose the standard deviation of the losses had been $1000 instead of $500. What would the larger standard deviation do to the width of the confidence interval (assuming the same level of confidence)? O A. A larger standard deviation decreases the width of the confidence interval. B. Depending on the level of confidence a larger standard deviation might increase or decrease the width of the confidence interval. O C. A larger standard deviation increases the width of the confidence interval. O D. A larger standard deviation would not change the width of the confidence interval