Use the given degree of confidence and sample data to constr…

Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution.The football coach randomly selected 15 players and timed how long each player took to perform a certain drill. The times (in minutes) were:7.0     10.8    9.5    8.0    11.5    7.5     6.4    11.3    10.2    12.6     8.5    6.8    8.5     9.8     11.9   Determine a 96% confidence interval for the mean time for all players. Show work for the steps below. (5pts)  (1pt) Calculator Command: (2pts) Information: (1pt) CI (round to 2 decimal places)  (1pt) Interpretation
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Please make sure your hands and papers are visible to the we…

Please make sure your hands and papers are visible to the webcam at all times. For the free response questions 6, 7 and 8 partial credit is possible. You’ll need to submit your solutions to those questions to Gradescope (do not submit any files on Canvas as they will not be graded.) (20 points) Parts (a), (b), (c) are distinct from each other.(a) Consider the double integral \( \displaystyle \int_0^4 \int_{\sqrt{y}}^2 x^3 e^{xy} \ dx \ dy \). Sketch the region D of integration and express it as type I and type II region. Reverse the order of integration and evaluate the integral.(b) Evaluate the surface integral \(\displaystyle \iint_S (x+y) \ dS\), where S is the part of the plane \(x+y+z=2\) in the first octant.   (c) Use Green’s theorem to evaluate the line integral \( \displaystyle \oint_C (e^{x^2}+2y) dx + (\sin(y^3)+x^2-x) dy \), where C is the triangle with vertices (0,0), (1,0) and (1,2), traversed in the counterclockwise direction.
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