For a ??? ???h?, a 3/8 ?? drill should be turning at 1066 ??? when drilling...

For a ??? ???h?, a 3/8 ?? drill should be turning at 1066 ??? when drilling mild steel. ????? readings of the turning speed of the drill were taken: 1065, 1079, 1083, 1063, 1058, 1076, 1050. You need to test if the true turning speed is equal or different from the specified turning speed of 1066 ???.

a. Write down the ???? and ??????????? hypotheses to be tested.

b.What type of statistical test procedure you will choose to test the hypotheses written above? Explain.

c.Construct a 95% Confidence Interval for the true mean turning speed. Test the hypotheses using the Confidence Interval constructed. Clearly interpret the test result.

d. Test the hypotheses using the test statistic method. Do you get the same answer as part (c)?

e. What is the ? ????? of the test? Test the hypotheses using the ? ?????. Do you get the same answer as parts (c) and (d)?

Solutions

Expert Solution

Ho : µ = 1066
Ha : µ ╪ 1066
................

1 mean hypothesis test will be used

.................

sample std dev ,    s = √(Σ(X- x̅ )²/(n-1) ) =   12.0238
Sample Size ,   n =    7
Sample Mean,    x̅ = ΣX/n =    1067.7143
Level of Significance ,    α =    0.05
degree of freedom=   DF=n-1=   6
't value='   tα/2=   2.4469   [Excel formula =t.inv(α/2,df) ]

Standard Error , SE = s/√n =   12.0238   / √   7   =   8.148900
margin of error , E=t*SE =   2.4469   *   8.14890   =   19.939640

confidence interval is
Interval Lower Limit = x̅ - E =    1067.71   -   19.939640   =   1047.775
Interval Upper Limit = x̅ + E =    1067.71   -   19.939640   =   1087.654
95%   confidence interval is (   1047.77   < µ <   1087.65   )

1066 lie with in the CI ,so do not reject Ho
.....................

degree of freedom=   DF=n-1=   6

Standard Error , SE = s/√n =   12.0238   / √    7   =   8.1489
t-test statistic= (x̅ - µ )/SE = (   1067.714   -   1066   ) /    8.1489   =   0.21

critical t value, t* =    ±   2.4469   [Excel formula =t.inv(α/no. of tails,df) ]

decision : test stat < critical value , do not reject Ho

same result as part c

p-Value = 0.8403 [Excel formula =t.dist(t-stat,df) ]
Decision: p-value>α, Do not reject null hypothesis

same result as part c and d

.........................

Please revert back in case of any doubt.

Please upvote. Thanks in advance.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

During a drilling process, excessive drill wear and drill breakage may occur. As an experienced machinist,...

During a drilling process, excessive drill wear and drill breakage may occur. As an experienced machinist, you are required to investigate the probable causes which lead to these problems and suggest on how to solve these issue.

Michelle O’Sullivan is a financial analyst at the Drill Corporation, a company who manufacture drilling equipment...

Michelle O’Sullivan is a financial analyst at the Drill Corporation, a company who manufacture drilling equipment used across the construction industry. Drill Corporation are doing some analysis around potentially tendering for a contract to supply the government with pneumatic drills used in road construction. The tender call requires the supply of 10,000 drills per year over a 10-year period. In the first round of analysis, Michelle assumes that each drill will be sold at a fixed price of $1,700 (which...

Differentiate turning, milling, and drilling in terms of (i) purpose, (ii) feed stock geometry, and (iii)...

Differentiate turning, milling, and drilling in terms of (i) purpose, (ii) feed stock geometry, and (iii) orientation and direction of motion of tool with respect to part.

Two drilling machines(machine A and machine B) can drill deep holes with different diameters on workpieces....

Two drilling machines(machine A and machine B) can drill deep holes with different diameters on workpieces. The processing time of the two machines are random due to various workpiece materials. Suppose the time it takes machine A to complete drilling one hole is exponentially distributed with mean 1.5,and the time it takes machine B to complete drilling one hole is exponentially distributed with mean 1. If the two machines work independently: 1) what is the probability that machine A completes...

skills drill 8:1 requisition activity(text fig.8-2)

Dain’s Diamond Bit Drilling purchased the following assets this year. Purchase Original Asset Date Basis Drill...

Dain’s Diamond Bit Drilling purchased the following assets this year. Purchase Original Asset Date Basis Drill bits (5-year) Jan-29 $ 92,000 Drill bits (5-year) Aug-11 103,750 Commercial building Jun-11 289,000 Assume its taxable income for the year was $75,500 for purposes of computing the §179 expense (assume no bonus depreciation). (Use MACRS Table 1, Table 2, Table 3, Table 4 and Table 5.) a. What is the maximum amount of §179 expense Dain's may deduct for the year? b. What...

Dain's Diamond Bit Drilling purchased the following assets this year: Asset Purchase Date Original Basis Drill...

Dain's Diamond Bit Drilling purchased the following assets this year: Asset Purchase Date Original Basis Drill bits (5-year) February 23 $95,000 Drill bits (5-year) July 20 99,000 Commercial building June 20 315,000 Assume its taxable income for the year was $59,500 before deducting any 179 expense (assume no bonus depreciation but assume that the 2014 179 limits are extended to 2015). Required: a. What is the maximum amount of 179 expense, Dain may deduct for the year? b. What is...

4-) Given the following data: Drilling Fluid Density : 12 ppg Well Depth: 10,000 ft. Drill...

4-) Given the following data: Drilling Fluid Density : 12 ppg Well Depth: 10,000 ft. Drill Bit Nozzle Sizes: 13-13-13 Pump Horsepower: 1800 Pump Volumetric Efficiency: 80% Maximum Pump Pressure: 4,500 psi Minimum Flow Rate: 350 gpm Parasitic pressure losses of 2,173 psi and 1,388 psi are anticipated while circulating mud at flow rates 500 gpm and 390 gpm respectively. a-) (10 points) Determine the parasitic pressure losses when the bit hydraulic horsepower is maximum. b-) ( 5 points) Determine...

2-) Given the following data: Drilling Fluid Density : 12 ppg Well Depth: 10,000 ft. Drill...

2-) Given the following data: Drilling Fluid Density : 12 ppg Well Depth: 10,000 ft. Drill Bit Nozzle Sizes: 13-13-13 Pump Horsepower: 1800 Pump Volumetric Efficiency: 80% Maximum Pump Pressure: 4,500 psi Minimum Flow Rate: 350 gpm Parasitic pressure losses of 2,173 psi and 1,388 psi are anticipated while circulating mud at flow rates 500 gpm and 390 gpm respectively. a-) Determine the parasitic pressure losses when the bit hydraulic horsepower is maximum. b-) Determine the optimum flow rate when...

Dain’s Diamond Bit Drilling purchased the following assets this year. Purchase Original Asset Date Basis Drill...

Dain’s Diamond Bit Drilling purchased the following assets this year. Purchase Original Asset Date Basis Drill bits (5-year) Feb-20 $ 115,000 Drill bits (5-year) Aug-20 118,500 Commercial building May-15 299,000 Assume its taxable income for the year was $76,500 for purposes of computing the §179 expense (assume no bonus depreciation). (Use MACRS Table 1, Table 2, Table 3, Table 4 and Table 5.) (Leave no answer blank. Enter zero if applicable.) b. What is Dain’s maximum depreciation deduction for the...

Subjects