A study was conducted to determine whether UH students sleep fewer than 8 hours. The study was based on a sample of 100 students. The sample mean number of hours of sleep was 7 hours and the sample standard deviation was 5 hours.
1. What is the value of the test statistic?
a. 0.5
b. 5.0
c. 1.2
d. -5.0

The value of t test statistics is -2.

Step-by-step explanation:

We are given that a study was conducted to determine whether UH students sleep fewer than 8 hours.

The study was based on a sample of 100 students. The sample mean number of hours of sleep was 7 hours and the sample standard deviation was 5 hours.

Let = mean number of hours UH students sleep.

So, Null Hypothesis, : 8 hours     {means that UH students sleep more than or equal to 8 hours}

Alternate Hypothesis, : < 8 hours     {means that UH students sleep fewer than 8 hours}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

                         T.S. =    ~

where, = sample mean number of hours of sleep = 7 hours

             s = sample standard deviation = 5 hours

            n = sample of students = 100

So, test statistics  =    ~

                              =  -2

Hence, the value of t test statistics is -2.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

their is no graph showing

step-by-step explanation: