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3. Biofluid Mechanics The next 8 questions will be related to the Navier-Stokes Equations.  The problem will be pressure driven flow between parallel plates.  You will be asked to submit your written work at the end of this section.   You should start by writing the complete Navier-Stokes Equations in Cartesian coordinates on your paper.  You can also write down the continuity equation in cartesian coordinates.  You can also label the input pressure as Pin and the Output pressure as Pout, with the length of the channel (in x) = L.  The channel width (in z is >>h.

Connecting this result to fluid dynamics; consider a rectangular duct that is wide in the y direction, narrow in the z direction, and flow is only in the x direction;  which of the following statements about the flow is true ?

A random sample of 120 females results in 20 of them are cigarette smokers. A random sample of 150 males results in 26 of them are cigarette smokers. A dietician tests to determine if the proportion of female smokers is lower than the proportion of male smokers. A hypothesis test was conducted at the 5% significance level and the p-value was found to be 0.456. Which of the below is the conclusion for this test?

A random sample of 120 females results in 20 of them are cigarette smokers. A random sample of 150 males results in 26 of them are cigarette smokers. A dietician tests to determine if the proportion of female smokers is lower than the proportion of male smokers. A hypothesis test was conducted at the 5% significance level and the p-value was found to be 0.456. Which of the below is the null hypothesis for this test?

Suppose in a sample of 100 randomly selected people, 21 have traveled abroad. The standard error was found to be 0.041. Which of the below statements describes the 95% confidence interval?

In a sample of 200 randomly selected bottles of soda, 15 have perforated screw on caps. Which of the following is true of the 90% confidence interval? StatKey

Which of the below is the area below z = 1.06 for the standard normal density function? StatKey

Suppose in a sample of 50 randomly selected children, 40 consume more than 8 hours of screen time per day. Suppose in a sample of 50 randomly selected adults, 42 consume more than 8 hours of screen time per day. Is there evidence to suggest that the proportion of children and the proportion of adults that consume more than 8 hours of screen time per day is significantly different? Find the p-value of this test. StatKey

Which of the below is the endpoint for the standard normal density function when the area to the right of the endpoint is about 0.84? StatKey

A random sample of 120 females results in 20 of them are cigarette smokers. A random sample of 150 males results in 26 of them are cigarette smokers. A dietician tests to determine if the proportion of female smokers is lower than the proportion of male smokers. A hypothesis test was conducted at the 5% significance level and the p-value was found to be 0.456. Which of the below represents the center of the randomization distribution for this test?