Nitterhouse Masonry Products, LLC, in Chambersburg, Pennsylvania, produces architectural concrete masonry products. The Dover, the largest block in a certain collection, is used primarily for residential retaining walls, and is manufactured to weigh 45 pounds. A quality control inspector for the company randomly selected 17 blocks, and determined that they have an average weight of 46.6 pounds with a sample standard deviation of 3.20 pounds. Assume that the distribution of the weights of the blocks is normal. Please use 4 decimal places for all critical values.
(0.5 pts.) a) Should a z or t distribution be used for statistical procedures regarding the mean? Please explain your answer.
b) Is there any evidence to suggest that the true mean weight is
not 45 pounds at a 5% significance level?
Calculate the test statistic
Calculate the p-value.
Write the complete four steps of the hypothesis test below. The work for all parts will be at the end of the question.
c) Calculate the 95% confidence interval for the mean.
d) Explain why parts b) and c) state the same thing. That is, what in part b) is consistent with what in part c)?
e) Is there strong evidence for your decision of "reject the null hypothesis" or "fail to reject the null hypothesis"? Please explain your answer using the results from both the hypothesis test and the confidence interval.
In: Math
Explain how depreciation works. I want to know about all the types and a description of the types and WHY you might use them in different situations. Make sure you explain about the years of life associated with depreciation. Be detailed. You could write pages on this!
In: Accounting
The Acme Widget Company has generally followed a relative conservative business model and has done well. Their sales have been relatively stable over the past decade and represent about 40% of the powered widget market, with widgets operating on conventional fossil fuels – gasoline, diesel, and propane. One of the founders of the company recently passed on his voting stock to his son, who advocates moving the company in a new direction. He wants the company to pursue a new business opportunity with the design and manufacture of widgets that employ alternative energy sources. You have been hired as a consulting engineer by the company to help them decide if they should go forward. While you know next to nothing about powered widgets, they believe you can help them perform an objective RWW analysis.
Describe in some detail how you would go about leading this analysis: what questions would you have for the company personnel, what other sources of data might you want to use and what information would you attempt to gather from these sources? Incorporate as many of the tools we have explored this semester as you feel apply. For example: Is the Design for X Spiderweb graphic relevant for this analysis? What role might forecasting techniques play? How important is it to be able to quantify various factors at each stage of the analysis?
In: Mechanical Engineering
In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at xr = 0 and the green car is at xg = 222 m. If the red car has a constant velocity of 25.0 km/h, the cars pass each other at x = 43.0 m. On the other hand, if the red car has a constant velocity of 50.0 km/h, they pass each other at x = 76.3 m. What are (a) the initial velocity and (b) the (constant) acceleration of the green car? Include the signs.
In: Physics
Mechanic Physics:
In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at xr = 0 and the green car is at xg = 217 m. If the red car has a constant velocity of 23.0 km/h, the cars pass each other at x = 43.6 m. On the other hand, if the red car has a constant velocity of 46.0 km/h, they pass each other at x = 76.2 m. What are (a) the initial velocity and (b) the (constant) acceleration of the green car? Include the signs.
In: Physics
Scenario 2: Create a sales promotion
Create a sales promotion you think will attract a lot of college students to your favorite fast-food restaurant. Examples of sales promotions: coupons, sampling, free product, etc.
Now think about traditional media that is accessed by this target audience (college students). Which one(s) would be most effective in communicating your sales promotion?
Least effective? Explain your reasoning and use the textbook readings to substantiate your views.
In: Operations Management
A trooper is moving due south along the freeway at a speed of 33 m/s. At time t = 0, a red car passes the trooper. The red car moves with constant velocity of 45 m/s southward. At the instant the trooper's car is passed, the trooper begins to speed up at a constant rate of 1.5 m/s2. What is the maximum distance ahead of the trooper that is reached by the red car? m
In: Physics
1. A jar contains 100 gummy bears: 50 ordinary candies, and 50 cannabis edibles. Of the ordinary candies, 40 are red and 10 are green. Of the cannabis edibles, 20 are red, and 30 are green. A gummy bear is drawn at random from the jar, in such a way that each gummy bear is equally likely to be the one drawn. What is the probability that the drawn gummy bear is a cannabis edible, conditional on it being red?
In: Statistics and Probability
How did you use your cell phone? A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the past 30 days they had used their phone while in a store to call a friend or family member for advice about a purchase they were considering. The poll surveyed 1003 adults living in the United States by telephone. Of these, 462 responded that they had used thier cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering.
a) Report the sample proportion, the standard error of the sample proportion, and the margin of error for 95% confidence.
b) Are the guidelines for when to use the large-sample confidence interval for a population proportion satisfied in this setting? Explain your answer.
c) Find the 95% large-sample confidence interval for the population proportion.
d) Write a short statement explaining the meaning of your confidence interval.
In: Statistics and Probability
We will use shorthand notation and probability notation for random variables when working with normally distributed random variables. Suppose the vitamin C content of a particular variety of orange is distributed normally with mean 720 IU and standard deviation 46 IU. If we designate
X = the vitamin C content of a randomly selected orange,
then our shorthand notation is
X~N(720 IU, 46 IU).
Use this distribution of vitamin C content to answer the following questions:
1) What is the probability that a randomly selected orange will have less than 660 IU? Using X as the random variable, state your answer as a probability statement using the probability notation developed in the learning module.
2) What is the 80th percentile of the of the distribution of vitamin C content of the oranges?
3) What proportion of oranges exceed the vitamin C content you found in part (2) above?
4) What range of vitamin C content values represent the middle 80% of the distribution? State your answer as a probability statement using the probability notation developed in the learning module.
5) Suppose Y~N( 280 mg, 20 mg). Find Y1such that P( Y > Y1) = 0.0250. State your answer in the form of a complete sentence without using any probability notation.
In: Statistics and Probability