Suppose that a random sample of 16 adults has a mean score of 70 on a standardized personality test, with a standard deviation of 4. (A higher score indicates a more personable participant.) If we assume that scores on this test are normally distributed, find a 90% confidence interval for the mean score of all takers of this test. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit:

Q: Find 2x² +5x+1 -dr, x>0

A: Use the formulas below to evaluate the given integral.

Q: (1,-16) and (-3,12)

A: To write down the equation of the straight line joining the two given points.

Q: Solve on y

A: Given, 5(x - 2) > 9x - 3(2x - 4)                5x - 10 > 9x - 6x +12                5x -10…

Q: Solve for x in -1-4 30 XT. = -10 X = = -2-54 1 -2 XT. 2-4-4 -24

A: Given the matrix equation:[−13​−40​]XT=−10[−22​−5−4​4−4​]+[1−2​−24​]XT Let's denote the left-hand…

Q: Solve for A.

A: This means that the product of matrix A with another matrix given an identity matrix. Therefore the…

Q: Solve for x. 2x - 2, x +5

A:

Q: |2х +3 3 13

A:

Q: solve for b a=1\2bh

A: We will find the value of b in terms of a and h as following .

Q: 16 a

A: topic - similar triangles

Q: Solve for x. (3x + 2)* 62 O x-20 O x-38.7 O x-21.3 O x-62

A:

Q: Solve for VW

A: Use the Pythagoras theorem as there is a right-angled triangle present in the circle, use the…

Q: Solve for x. 2x+29 3x+8

A: Both the angle with x variable makes a supplementary angle.i.e (180°).

Q: Solve number 2

A:

Q: If 2*+l = 3-* then find the value of x

A:

Q: olve accordingly

A: we can see that the graph touches at 4 places on the x-axis.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.