Did Americans work less than 40 hours a week on average in 1973? In 1973, the GSS included questions about the number of hours that the respondent worked per week. A sample of 30 respondents was questioned. The average number of hours worked per week was 39.49 hours with a standard deviation of 14.86 hours. What is the test statistic? Group of answer choices -1.56 0.426 -0.19 -0.034

The test statistic is -0.19.

Step-by-step explanation:

We are given that in 1973, the GSS included questions about the number of hours that the respondent worked per week. A sample of 30 respondents was questioned. The average number of hours worked per week was 39.49 hours with a standard deviation of 14.86 hours.

We have to test the hypothesis that did Americans work less than 40 hours a week on average in 1973 or not.

Let Null Hypothesis, : 40 hours  {means that Americans work greater than or equal to 40 hours a week on average in 1973}

Alternate Hypothesis, : < 40 hours  {means that Americans work less than 40 hours a week on average in 1973}

The test statistics that will be used here is One-sample t-test ;

             T.S. =  ~

where, = sample average number of hours worked per week = 39.49

              = sample standard deviation = 14.86 hours

             n = sample of respondents = 30

              = population mean

SO, test statistics =   ~

                             = -0.19

Therefore, the value of test statistic is -0.19.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true