1.

a facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is 5 minutes. he decides to collect data to see if the mean amount of time that college students spend in the shower is significantly different from 5 minutes. in a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes. using this sample information, conduct the appropriate hypothesis test at the 0.01 level of significance. assume normality.

a) what are the appropriate null and alternative hypotheses?

h0: ? = 5 versus ha: ? ? 5h0: x = 5 versus ha: x ? 5 h0: ? = 5 versus ha: ? < 5h0: ? = 5 versus ha: ? > 5

Null hypothesis

Alternative hypothesis

Step-by-step explanation:

Consider the provided information.

The shower by an adult is 5 minutes.

The mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes.

We need to determine the appropriate null and alternative hypotheses.

A null hypothesis is there is no statistical significance between the two variables.

An alternative hypothesis is there is a statistically significant relationship between two variables.

Therefore the required null and alternative hypothesis are:

Null hypothesis

Alternative hypothesis

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere