According to the U.S. Climate Data website, the average monthly rainfall totals (in inches) in San Diego, California for the months of July through December are shown in the Expected column of the table below. Assuming the significance level is p=0.95, what is the chi-square (χ2) critical value for one 6-month period? Does the data match the model? Month Observed (Inches) Expected (Inches) July 0.07 0.04 August 0.05 0.04 September 0.13 0.16 October 0.59 0.55 November 0.89 1.02 December 1.28 1.54 a The chi-square critical value is 1.15 and the data matches the model.

A section of highway is posted with a 55 mph speed limit. In fact, speeds of cars traveling on this section are normally distributed with mean 58 mph and standard deviation 5 mph. If the state patrol decides to ticket cars in the fastest 10 %, at what speed will they start ticketing ? Round your answer to the first decimal position.

a) The average temperature (Centigrade) in London varies from 14C to 31C during the year. i. Calculate indices based on March, base = 100 ii. What is the %age variation between the highest and the lowest temperatures? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Temp C 15 22 19 24 29 28 31 28 27 22 18 14 Index b) Below are the no of customers, visiting a local Tesco Express, in the first week of holiday season. The store manager would like to avoid stock out in the busy period. Provide forecast of sales on Saturday next week, using 3 point moving average and seasonal variation. Assume same seasonal variation next period.

A study determined that the average student who graduates takes 58 months to graduate from college with a bachelor's degree and a standard deviation of 10 months. The distribution was approximately normal. What percentage of college graduates will take longer than 4 years (48 months)? 34.1% 34.1% 13.6% 15.6% 83% 23 15.9% 47.7% O84.1% 97.7% 56°F Clou