Dean halverson recently read that full-time college students study 20 hours each week. she decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. a random sample of 35 students were asked to keep a diary of their activities over a period of several weeks. it was found that he average number of hours that the 35 students studied each week was 18.5 hours. the sample standard deviation of 4.3 hours.
find the p-value.
ps: if you know how to do this in excel, explain how to do so but if you don't i would still greatly appreciate the answer you provide.

The p-value is 0.154.

Step-by-step explanation:

Since we have given that

We claim that

Null hypothesis :

Alternate hypothesis :

Population mean = 20 hours

Sample mean = 18.5 hours

Sample standard deviation = 4.3 hours

Sample size n = 35

So, test statistic would be

So, the  p value would be 0.154.

Hence, the p-value is 0.154.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it