Does the data in this sample support the claim

Assignment Help Applied Statistics
Reference no: EM131128459

Engineering Stats/Probability

1) Sony Manufactures Color Televisions at two plants and wanted to compare the proportions of filled orders of Color Televisions on time from the two plants. The first plant is located at in Tai Pi in Taiwan and the second one is located in Seoul, South Korea. Sony selected 1,000 orders at random from each plant and found that 798 orders were completed on time from the Tai Pi plant and only 631 orders were completed on time from the Seoul plant.

A) Does the data in this sample support the claim of that the proportion of filled orders from the Tai Pi plant is greater than the proportion of filled order from the Seoul Plant? Perform a Hypothesis test; list all the required 5 steps in order to answer this question. Do NOT use the P-­- VAULE or the Confidence Interval as a rejection rule here.

B) Repeat the only three required steps to test the same Hypothesis as in part A but use ONLY the P-­-VALUE as a rejection rule here.

2) The engine camshafts of a Toyota Camry is a vital part and it must have the appropriate hardness to wear properly as it has repeated contact with the engine lifters. To harden the camshaft, Toyta used an existing heat treatment of the shafts and it is known from the old process the hardness depth has histroical data is normall distributed with a mean is 4.5 mm and a standard deviation is 0.47 mm. Toyota developed a new heating process to reduce the variations in the camshaft hardness depth and used it. Toyota took a random samole of 30 camshafts after heating them using the new heating process and found that the camshaft hardness depth mean and standard deviations to be

?? = 4.5 ???? and S = 0.297489 mm respectively.

A) Does the data support the objective of Toyota that the popluation variance of all camshafts has been reduced by using the new heating process? Perform a Hypothesis test; list all the required 5 steps in order to answer the question. DO NOT use the P-­-VALUE or the Confidence Interval as a rejection rule here.

B) Repeat only the three required steps to test the same Hypothesis as in part A but use ONLY the P-­-Value as a rejection rule at alpha = 0.01.

3) over a two weeks period Amazon Monitors how many visits to its web site come every day from two different search engines 1 and 2 respectively. The paired data is given to you in Table 1 below.

Day

Visits from search Engine 1

Visits from search Engine 2

Day 1

85,851

66,356

Day 2

78,942

63,941

Day 3

75,501

62,217

Day 4

63,412

63,127

Day 5

80,069

61,176

Day 6

73,136

42,367

Day 7

66,731

45,448

Day 8

74,831

75,751

Day 9

78,616

61,820

Day 10

80,672

53,597

Day 11

73,083

55,313

Day 12

75,744

58,149

Day 13

57,580

40,645

Day 14

61,014

50,897

A) Is there a statistical significant difference between the means of number of visits for the two types 1 and 2 of the search engines? DO NOT use the P-­-VALUE or the Confidence Interval as a rejection rule here. Show all the required 5 steps including the distribution plot in order to gain full credits.

B) Reapeat only the three required steps to test the same Hypothesis as in part A but use ONLY the Confidence Interval as rejection rule here.

4) Artifical leather used in manfacturing car seats is made from two different extrusion machines and we are investigating the breaking strength of the leather produced. Two random sample of size n1 = 15 and n2 = 17 are selected from the two machines and the sample means and sample Standard deviations were calculated to be ??1 = 8.73 and ??2 = 8.68, S1= 0.591608 and S2 = 0.632456 respectively. It is known that these two sample are drawn from two normally distributed popluation that have uneqal variances.

A) is there evidence to support the claim that the two machines produce artifical leather with different breaking strengths? Do not use the P-­- Value or the Confidence Interval as rejection rule here. Show all the required 5 steps including the distribution plot in order to gain full credit.

B) Repeat only the three required steps to test the same Hypothesis as in part A but use ONLY the confidence interval as a rejection rule here.

5) in a forging factory the required weight of a forged transmission's must weight more than 20 LBs in order to be accepted and used in car assembly of the required transmission. The forged pans' weiights are known to have a normal distibution. A random sample of 10 pans were selected from the forging factory and found that its mean of pans' weights equal 21.4 LBs with a standard deviation equals to 2.1 LBs. Use α = 0.025.

A) does the data in this sample meet the requirements of the transmissions' pans to be used in this GM on? Perform a Hypothesis test; list all the required 5 steps in order to answer the question including the required normal plot. DO NOT used the P-­-VALUE test or the Confidence Interval as a rejection rule here.

B) Repeat only the three required steps to test the same Hypothesis as in part A but use ONLY the P-­-Value as a rejection rule.

6) The maintenance cost of fixing 3 HP motors is normally distrubited with a standrad deviation of $3. A sample of 25 of these 3 HP motors were chosen from the maintenance center located in NewYork and their mean maintenance cost was to be found $ 20. Alpha = 0.05.

A) Does the data in this sample support the claim of that the mean of repairs of fixing all 3 HP motors is different than $ 21 per hour? Perform a Hypothesis test; list all the required 5 steps in order to answer the question including the standard normal distribution plot. USE ONLY the Confidence Interval as rejection rule.

B) Repeat only the three required steps to test the same Hypothesis s in part A but use ONLY the P-­-Valule as a rejection rule hree and include the standard normal distribution plot.

C) If the actual mean of the population of hourly maintenance costs of fixing all 3 HP motors is equal to $ 23. Calculate the Type II error probability β for the information given in part A.

7) A test is performed on 20 specimens of PVC pipe and the sample average and standard deviation were obtained to be ?? = 1.121 ft-­-lb/in and S = 0.328 respectively. The popluation of PVC pipes is normally distrubited. Use α = 0.01.

A) does the data in this sample support the claim that the popluation variance of all pipes is equal to 0.17. Perform a Hypothesis test; list all the required 5 steps in order to answer this question including the required plot. DO NOT use the P-­-Value or the Confidence Interval as a rejection rule here.

B) Repeat only the three required steps to test the same Hypothesis in part A but use ONLY the Confidence Interval as a rejection rule.

8) The breaking Strength of artifical leather used in manufacturing car seats is known to be approximately normally distributed. The mean breaking strength of the artificial leather is required to be equal 100 psi in order to be used in the car seats. A random sample of nine specimen of artificial leather is tested and their average breaking strength is found to be equal to 100.6 psi. And their standard deviation to be equal to 2 PSI

A) Should the artificial leather be judged accpetable? Perform a Hypothesis test; list all the required 5 steps in order to answer this question including the required normal plot. DO NOT use the P-­-Value or the Confidence Interval as rejection rule here.

B) Repeat only the three required steps to test the same Hypothesis as in part A but use P-­-VALUE as rejection rule.

9) The average life of a certain type of gas compressor used in Fracking process is 10 years with a standard devation of 1 year. The lives of these compressors are normally distributed. The manufacturer; Ingersoll-­-Rand replaces free of cost all compressors that fail while under guarantee. Ingersoll-­-Rand is willing to replace 3% of all compressors sold. For how many years should Ingersoll-­- Rand set the period of guarantee for this type of Compressors? Draw the required normal distribution plots here.

10) Article in IEEE clamied that one-­-half of all engineers will continue academic graduate studies beyond the B.S. degree, hence receiving either an M.S. or a Ph.D degree. A sample of 484 newly graduates with B.S. in engineering were colloected from a university records where 267 student said that they are planning to continue their graduate studies in engineering. Use α = 0.05.

A) Does this data in this sample support the claim of the IEEE article? Perform a Hypothesis test; list all the required 5 steps in order to answer this question including the required normal plot. ONLY use the P-­-Value as rejection rule here.

Reference no: EM131128459

Questions Cloud

What happens to all stuff that get sucked into black hole : What happens to all the stuff that get's sucked into the black hole? Would it pop out randomly at some other place or something? Or would things not survive a black hole
Prepare budgeted income statement for the year : An electronic company manufactures Graphics Card, which has a fixed manufacturing overhead budget for year 20X5 of $1,800,000. The sales of Graphics Card are expected to be 500,000 units for the year. All variable manufacturing costs are expected to ..
Determine which scheduling algorithms are best suited : Determine which scheduling algorithms (from the ones you researched in the Discussion Board assignment) are best suited for the enterprise you selected.
Does the data in this sample support the claim : Does the data in this sample support the claim of that the proportion of filled orders from the Tai Pi plant is greater than the proportion of filled order from the Seoul Plant?
Calculate the EOQ for Dutch Farms : Dutch Farms imports cheese by the case from Holland for distribution to its Texas retail outlets. During the year (360 days), Dutch Farms sells 1,080 cases of cheese. Because of spoilage, Dutch Farms estimates that it costs the firm $6 per year to st..
What is the radius of mars : Mars has an angular diameter of 14.2 arcseconds when it is at a distance of 0.66 AU from Earth. What is the radius of Mars in km?
Use the public telephone in the sheriffs detention area : On average, 4 customers per hour use the public telephone in the sheriff's detention area, and this use has a poisson distribution. The length of the phone call varies according to a negative exponential distribution, with a mean of 5 minutes. The sh..
What qualities and behaviors are most important in leader : So we end with leadership. Which many would argue should be at the start of any organization. What qualities and behaviors are most important in a leader? Why do they stand in your mind? Are you a strong enough leader yourself to employ the same tact..

Reviews

Write a Review

 

Applied Statistics Questions & Answers

  What is the minimum number of points one must score

If the results on a nationally administered introductory statistics exam is normally distributed with a mean of 100 points and a standard deviation of eight points determine the following: a. describe the graph of the distribution b. find at the Z sc..

  Suppose that x1 and x2 denote a random sample of size

Suppose that X1 and X2 denote a random sample of size 2 from a gamma distribution, i.e., Xi ∼ Gamma(2, 1/2) and X1 and X2 are independent.(a) Find the pdf of Y =sqrt(X1 +X2 ) (b) Find the pdf of W = X1/X2

  Determining the most effective format for advertising

A researcher is interested in determining the most effective format for advertising. He randomly assigns 60 people to one of three groups: (1) television commercial, (2) radio commercial, or (3) magazine advertisement. Group members review the commer..

  Convert the rectangular coordinate into polar coordinates

Convert the rectangular coordinate (-8,i (square root of 3) into polar coordinates.

  State null hypotheses for the researchers test

State the null and alternative hypotheses for the researchers test - explain in the context of this scenario the meaning of Type I and Type II errors.

  Coffee pot attendant

It is 1581 Anno Domini.  At the Undergraduate School of UMUC, besides Assistant Academic Director of Mathematics and Statistics, I am also the Undergraduate School-appointed CPA, Coffee Pot Attendant.

  Giddens solve the problem of agency versus structure

An essays of at least  600 words respond, How does Giddens solve the problem of agency versus structure? To answer this question, you need to explain Gidden's theory of structuration. Your essay should integrate the following concepts:

  How quickly people are served

The Burger corporation is looking at its fast-food franchises and in particular is interested in how quickly people are served. In one restaurant, where it receives most of its complaint, an analysis reveals the following. The attendants can serve, o..

  What was change in percentile rank from the original plan

What was the change in percentile rank from the original plan to the actual home that was built?

  X has an exponential distribution with lambda

Suppose X has an exponential distribution with  lambda= 2 . Determine the following: (a) P (X = 2)(c) P (X=

  Find the probability that exactly 15 babies are female

Find the probability that - exactly two of the workers have been exposed to asbestos - Find the probability that exactly 15 babies are female.

  1 find the equation of the regression line for the given

1. find the equation of the regression line for the given data.nbsp what is the predicted value of y when x -2?nbsp

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd