Does where you live affect your insurance rate? The mean auto insurance rate for 29 drivers in a large city is $1,837 per car with a standard deviation of $337 while the mean rate for 23 drivers in a rural area is $1,613 with a standard deviation of $258. At a = 0.025, can we conclude that drivers in the large city pay higher insurance rates than those in the rural area, assuming the population variances are equal? T-Distribution Table

The quantitative subset of the Graduate Record Exam (GRE) has a mean of 500 and a standard deviation of 100. A sample of 64 students take the GRE and have an average quantitative score of 505. What is the value of the z statistic that corresponds to the sample mean? a. -.40 b. -0.05 c. 0.40 d. 0.05

The length of songs in the Big Hair playlist of a Statistics professor's mp3 player varies from song to song. This variation can be modeled by the normal distribution, with a mean song length of �=4.3 minutes and a standard deviation of �=0.65 minutes. (Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds.)The professor decides to shuffle the playlist, which means that the mp3 player will randomly pick a song within this particular playlist and play it next.(a) What is the probability that the next song to be played is between 3.9 and 4.85 minutes long? Answer to four decimals. (b) What proportion of all the songs in this playlist are longer than 5 minutes? Use four decimals in your answer. (c) 20% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals. minutes(d) There are 247 songs in the Big Hair playlist. How many of these would you expect to be longer than 5 minutes in length? Use two…

A radio station claims that the amount of advertising each hour has a mean of 17 minutes and a standard deviation of 1.7 minutes. You listen to the radio station for 1 hour and observe that the amount of advertising time is 7 minutes. Calculate the z-score for this amount of advertising time.