Use a x-test to test the claim o2 41 at the a = 0.10 significance level using sample statistics s = 38.2 and n= 12. Assume the population is normally distributed. E Click the icon to view the Chi-Square Critical Values Table. Identify the null and alternative hypotheses. O B. Ho: 0> 41 Hạ:o541 O A. Ho: o< 41 Ha: 0241 D. Ho: 0241 O C. Họ: o541 H3: o>41 H3:o<41 Identify the test statistic. 9.549 (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.)

Q: Explain the steps necessary to determine the critical path

A: The objective of this question is to understand the steps necessary to determine the critical path…

Q: ind and classify all critical points of the function f(x,y) = 3x²y + y³ – 3x² – 3y² + 2.

A: We have to find and classify the critical point of f(x,y).

Q: Find the values of x, y and z that correspond to the critical point of the function: = f(x, y) = 3x²…

A:

Q: 를 f(x)= x (x-3) Find all critical Point and classify them if possible.

A: To find the critical points of the function f(x) = x^(3/2)(x - 3), we need to find the values of x…

Q: Suppose we have a function z = a > 0. f(x, y) = -x² – y² + a(x +y) where a is exogenous and a.…

A: The given equation is z=fx,y=−x2−y2+ax+y Where a is exogenous and a &gt; 0.

Q: i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2.' b. Give…

A: The critical point on a function is the point on the function where it is no longer differentiable.…

Q: f(x)= Se-(at3)?-1

A:

Q: f(x)=x^3+6x^2  -3x -5. Find all local minima and maxima positions as well as their optimal values.…

A:

Q: Find the minimum value of the function f(x) = x³ – 6x² + 4x + 12 in the interval(-2,6] within 10% of…

A: We need to find minimum value.

Q: Example: If y=2+x, find the critical points and recognize them.

A: Solution:-

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.