Question

A survey of 570 working adults in the United States asked each participant how many hours they worked last week. The survey showed an average of 41.525 hours worked per week, with a standard deviation of 14.828 hours. (Note that this is the average for people that work in the United States, including part-time employees. Among full time employees, the average work week is closer to 47 hours. Link if you’re interested: http://www.gallup.com/poll/175286/hour-workweek-actually-longer-seven-hours.aspx) Is there enough evidence to show that Americans work more than 40 hours per week on average at the 0.01 significance level? Should we perform a Z test or a t test, and why? Select one: a. A z test, because we don't know the population standard deviation b. A t test, because we know the population standard deviation. c. A z test, because we know the population standard deviation. d. A t test, because we don't know the population standard deviation.

138

likes
690 views

Answer to a math question A survey of 570 working adults in the United States asked each participant how many hours they worked last week. The survey showed an average of 41.525 hours worked per week, with a standard deviation of 14.828 hours. (Note that this is the average for people that work in the United States, including part-time employees. Among full time employees, the average work week is closer to 47 hours. Link if you’re interested: http://www.gallup.com/poll/175286/hour-workweek-actually-longer-seven-hours.aspx) Is there enough evidence to show that Americans work more than 40 hours per week on average at the 0.01 significance level? Should we perform a Z test or a t test, and why? Select one: a. A z test, because we don't know the population standard deviation b. A t test, because we know the population standard deviation. c. A z test, because we know the population standard deviation. d. A t test, because we don't know the population standard deviation.

Expert avatar
Andrea
4.5
86 Answers
Option d

Frequently asked questions (FAQs)
What is the derivative of 3x² + 5x - 2?
+
What is the variance of the data set {2, 5, 7, 10} using the formula Var(X) = Σ[X²] / n - [ΣX / n]²?
+
Math Question: What is the equation of the graph representing a basic parabola that opens upward and has its vertex at (-3, 4)?
+
New questions in Mathematics
One contestant on a game show has 1,500 points and another contestant has -250 points. What is the difference between the scores of the contestants?
QUESTION l. An investigation has been carried out in a region to know the perception of "citizen insecurity" of its inhabitants. 1,270 people in the region were interviewed, of which 27.1% responded that it was a "serious" problem. Knowing that this opinion was previously held by 25.3% of the population of that region, we want to know if said opinion has changed significantly for a confidence level of 97.2%. Taking this statement into account, the following is requested: a) Critical value of the contrast statistic. b) Solve the hypothesis test and indicate what conclusion we can reach. c) P-value of contrast.
A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.
Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6
The bus one way of the road which is 10km is heading with speed of 20km/h ,then the bus the other 10km is heading with speed of 60km/h. The middle speed of the road is it equal with arithmetic speed of the v1 and v2 ?
9b^2-6b-5
-0.15/32.6
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room
The grading on a $159,775 house comes to $3974.75. What percent of the total cost is this? (Express your answer to the nearest hundredth percent.)
How to factorise 5y^2 -7y -52
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
Solve the following 9x - 9 - 6x = 5 + 8x - 9
Convert (324)𝑓𝑖𝑣𝑒 into base-ten
Recall that with base- ten blocks, 1 long = 10 units, 1flat = 10 long, and a block = 1 unit. Then what number does 5 flat, 17long and 5 units represent represent ?
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?
Define excel and why we use it?
23,456 + 3,451
The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?
Construct a set of six pieces of data with​ mean, median, and midrange of 67 and where no two pieces of data are the same.