ught and installed fuel filters on my family's five cars that are supposed age. I thought l'd put them to the test-we recorded the fuel consumpti ch of road for each car (in miles-per-gallon). Here is a summary, with da che variance of each row: Car A Car B Car C Car D Car E bout Eiltor 21 5 17 2 21 0

In Major League baseball, the speed of a pitch is very important. How fast is the speed of a major league pitcher’s average pitch? A researcher took a random sample of the speed of 16 pitches from the 2019 Major League baseball season. The following are the speeds of these pitches in miles per hour: 92.8, 87.0, 89.1, 96.2, 75.6, 89.6, 92.5, 83.3, 86.5, 95.6, 94.1, 91.6, 94.2, 93.4, 90.0 It is reasonable to treat these measurements as coming from a normal distribution with unknown mean μ and unknown standard deviation σ a)Use the data to calculate an unbiased point estimate of the true mean, μ, of pitch speeds in the 2019 Major League baseball season. b)Use the data to find an unbiased point estimate of the population variance, σ2 of pitch speeds in the 2019 Major League baseball season. c) Use the data to find the maximum likelihood estimate of the population variance, σ2 , of pitch speeds in the 2019 Major League baseball season.

In California, they need more rain to sustain the health of the natural environment, state argriculture, and state economy. A group of statistics students in Oxnard College recorded the amount of rain during 2016-2017 school year, measuring the intensity by the inches of rain, and the results were: Daily Rain Amounts Inches of Rain 1 2 3 4 5 6 Frequency 7 6 6 3 2 1 The mean rain intensity: ________inches (Please show your answer to 1 decimal place.) The median rain intensity: _______inches The mode rain intensity: _______inches Please separate your answers by a comma if there is more than one mode.

Nicole has a popular blog about cooking and nutrition and regularly posts articles and videos. She has collected data about the length of time that viewers spent watching two of her recent videos. For each video, she recorded the amount of time (in minutes) that each of 102 viewers spent watching it. The histograms below show the distributions of the two data sets. Each histogram shows time (in minutes) on the horizontal axis and the number of viewers on the vertical axis. The means and standard deviations for the data sets are also given. Video 1 Video 2 25- 25- 20- 20- 15- 15- 10- 10- 5- 5- 0- 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 Video 1 mean: 52.05 minutes Video 2 mean: 44.25 minutes Video 1 standard deviation: 12.54 minutes Video 2 standard deviation: 8.16 minutes Nicole wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule…