For this problem, you will use a clever constraint substitution for the fuel economy requirement. Rather than actually calculating the avg fuel economy and constraining it to be at least 27 mpg, you will: Subtract the required average (27) from the fuel economy of each vehicle class. For example, for compacts, you get 40 - 27 = 13, and for SUVs, you get 25 - 27 = -2. In effect, this "shifts" the requirement to "the average of the shifted mpg's should be at least 0." Now that the minimum allowed average is shifted to 0, we don't have to actually do the division part of the calculation. "Why not?" you ask. Because it is enough to know that the numerator part of the calculation is not negative to conclude that the average will also not be negative.
Companies often develop and test hypotheses about their products. For example, car manufacturers will test their cars to determine fuel efficiency and miles per gallon. To ensure that products are safe and that they perform as advertised, regulatory and consumer protection groups also test companies’ claims.
The Federal Social Welfares Minister would like to form an opinion on whether sexual assaults by family members have deteriorated over the period 2014-2020, and was advised to undertake a Chi-Squared test. Amalgamate and reformat the states and territories Family Member data as follows to answer the question: b) Specify the confidence level for a Chi-Squared Test: 90% / 95%: Justification of your choice
Suppose we start at this basis {x1, x3, x5}. We want to increase the value of x2 from 0 to 1, and keep x4 and x6 fixed to 0. How should we change x1, x3, and x5 to ensure that our equality constraints are satisfied? You can use any method you like to find these changes.
Which university campus tends to have warmer maximum temperatures in September? To test this, a random sample of 23 September days was taken from 2016–2020 and the maximum temperatures were recorded at the Newcastle University and Gosford weather stations, the nearest stations to the Callaghan and Central Coast campuses, respectively.