UA Statistics Percentile Computing Average Sale Price & Deviation Exercises

Attached is the template you will need to follow to do the assignment. Also attached is the solutions to the template. You just have to figure out how they got the solution. Thank you!

5. Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 20th,25th, 65th, and 75th percentiles.

15. Martinez Auto Supplies has retail stores located in eight cities in California. The price theycharge for a particular product in each city varies because of differing competitive conditions.For instance, the price they charge for a case of a popular brand of motor oil in each city follows. Also shown are the number of cases that Martinez Auto sold last quarter in each city. Compute the average sales price per case for this product during the last quarter.

31. The results of Accounting Principals’ latest Workonomix survey indicate the averageAmerican worker spends $1092 on coffee annually (The Consumerist, January 20, 2012).To determine if there are any differences in coffee expenditures by age group, samples of10 consumers were selected for three age groups (18–34, 35–44, and 45 and Older). Thedollar amount each consumer in the sample spent last year on coffee is provided below. A) Compute the mean, variance, and standard deviation for the each of these three samples. B) What observations can be made based on these data?

32. Advertising Age annually compiles a list of the 100 companies that spend the most on advertising. Consumer-goods company Procter & Gamble has often topped the list,spending billions of dollars annually (Advertising Age website, March 12, 2013). Consider the data found in the DATAfile named Advertising. It contains annual advertisingexpenditures for a sample of 20 companies in the automotive sector and 20 companiesin the department store sector.

1. 1. What is the mean advertising spent for each sector?
   2. What is the standard deviation for each sector?
   3. What is the range of advertising spent for each sector?
   4. What is the interquartile range for each sector?
   5. Based on this sample and your answers to parts (a) to (d), comment on any differencesin the advertising spending in the automotive companies versus the department storecompanies.

   35. Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the z-score for eachof the five observations.

74. Automobiles traveling on a road with a posted speed limit of 55 miles per hour arechecked for speed by a state police radar system. Following is a frequency distributionof speeds.

1. What is the mean speed of the automobiles traveling on this road?
2. Compute the variance and the standard deviation.