In the test of hypothesis H 0 : μ = 100 vs Ha: μ ≠ 100, a sample of size 250 yields the standardizedtest statistic z = 1.47. Find the p-value for the test and state your conclusion at α = 0.10

The p-value of the test is 0.1416.

The null hypothesis was not rejected concluding that μ = 100.

Step-by-step explanation:

The hypothesis is defined as:

H₀: μ = 100 vs. Hₐ: μ ≠ 100

The test is a two-tailed test.

The test statistic value is z = 1.47.

The significance level of the test is α = 0.10.

The p-value is computed as follows:

Decision rule:

If the p-value of the test is less than the significance level 0.10, then the null hypothesis is rejected and vice-versa.

The p-value = 0.1416 > α = 0.10.

The p-value is more than the significance level.

The null hypothesis was not rejected.

Conclusion:

The mean value is not different than 100.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1