X2 + 10x + 16/x + 2 = HELP ASAP !! Plss

Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey

tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

b) -1.59

c) -1.301

d) i. reject null hypothesis

e) Option i) The data supports the claim that college students get less sleep than the general population.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 7 hours

Sample mean, $\bar{x}$ = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s = 0.55 hours

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}$

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59$

c) Now,

$t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301$

Since,

$t_{stat} < t_{critical}$

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

8 0

3 years ago

How can all the solutions to an equation in two variables be represented?

OLga [1]

How do linear, quadratic, and exponential functions compare?

Answer:

How can all the solutions to an equation in two variables be represented?

The solution to a system of linear equations in two variables is any ordered pair x,y which satisfies each equation independently. U can Graph, solutions are points at which the lines intersect.

How can all the solutions to an equation in two variables be represented?

you can solve it by Iterative method and Newton Raphson's method.

How are solutions to a system of nonlinear equations found?

Solve the linear equation for one variable.

Substitute the value of the variable into the nonlinear equation.

Solve the nonlinear equation for the variable.

Substitute the solution(s) into either equation to solve for the other variable.

How can solutions to a system of nonlinear equations be approximated? U can find the solutions to a system of nonlinear equations by finding the points of intersection. The points of intersection give us an x value and a y value. Using the example system of nonlinear equations, let's look at how u can find approximate solutions.

6 0

2 years ago

Read 2 more answers

A triangular prism is 17 yards long and has a triangular face with a base of 12 yards and a height of 8 yards. The other two sid

Lisa [10]

Answer:

640 yard²

Step-by-step explanation:

From the question,

The surface are of a triangular prism is given as

A = bh+2ls+lb.................. Equation 1

Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s = length of one of the other sides of the triangle

Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.

Substitute these values into equation 1

A = [(12×8)+(2×17×10)+(17×12)]

A = 96+340+204

A = 640 Yard²

6 0

3 years ago

A. The slope of the line will change from positive to negative

Novay_Z [31]

Answer:

The slope of the line will change from negative to positive

Step-by-step explanation:

the equation is in the form of y=mx+c and m is negative. By multiplying m with another negative number it turns positive, thus slope changes from negative to positive

3 0

3 years ago

Read 2 more answers

Which equation can be used to find the area of trapezoid PQRT?

vladimir2022 [97]

Answer:

Area of a trapezoid is found with the formula, A=(a+b)/2 x h

Step-by-step explanation:

8 0

3 years ago