An automotive part must be machined to close tolerances to be acceptable to customers. Production specifications call for a maximum variance in the lengths of the parts of 0.0004. Aquality control sample produced the data in the Microsoft Excel Online file below. Using a = 0.05, test to see whether the population variance specification is being violated.XOpen spreadsheet1. Formulate the null and alternative hypotheses for this application.Ho: 0²Ha: 0²2. Test statistic =3. The p-value is4. Conclusion:5. Test results:Check My Work↑î(to 2 decimals)Reset Problemŵ↑ Excel template - SavedD3123456789File1011121314151617181920212223242526272829303132333425HomeAPart Length4.9654.9554.964.9554.9754.9854.964.9454.985.0054.9554.974.974.9854.9654.954.9754.984.9554.964.984.9855.0155.0155.0055.0155.014.9854.975BInsertArialfxDrawSheet1 +Page Layout✓ 10v BсDInferences About a Population VarianceSample sizeSample meanSample varianceSample standard deviationHypothesized varianceDegrees of freedomLevel of significanceCritical Value (2 decimals)Test statistic (2 decimals)p-value (4 decimals)Calculation Mode: Automatic Workbook StatisticsReject null hypothesis?Formulas0.00040.05↓ESearch (Option + Q)DataReviewViewVFFormulas#N/A#N/A#N/A#N/A#N/A#N/A#N/A#N/A#N/AabHelpGeneralGH←0.00.00→.0JKLMEvNEditing ✓APGive Feedback to MicrosoftPCommentsQ100% +

The data set is inserted in excel as follows:

Answered: An automotive part must be machined to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufactured. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether there is no significant difference between the two means using a two-tailed with a=0.01
In the macro relation between GDP and FDI, Dr Mudenda obtained the following valuesfrom a Stata output: FDI coefficient of 0.45; t-statistic of 3; and covariance (GDP, FDI)value of 0.41. In literature, this relationship between GDP and FDI has generally beenestablished to be statistically significant. Answer the following questions:i) Calculate the variance of the FDI variable and explain its implicationii) Use the confidence interval approach to test whether FDI’s influence on GDP isstatically significant or not in Dr Mudenda’s study. Use 5% level which gives 1.96critical values.iii) What is the expected value of the p-values for studies that have been conductedin literature?
A milk processing company test implemented a plant-wide energy conservation program with a goal of reducing the mean daily consumption rate of at least 1,000 kWh from its normal operating plants. The conservation program was implemented in Plant B. The following data was collected on weekdays where consumption level is at its peak. Were the conservation efforts effective in achieving its goal? Compare the results with Plant A’s data where the program is not implemented using α= 0.05. Assume that the population variances are not equal.
A milk processing company test implemented a plant-wide energy conservation program with a goal of reducing the mean daily consumption rate of at least 1,000 kWh from its normal operating plants. The conservation program was implemented in Plant B. The following data was collected on weekdays where consumption level is at its peak. Were the conservation efforts effective in achieving its goal? Compare the results with Plant A’s data where the program is not implemented using � = 0.05. Assume that the population variances are not equal.Plant A (kWh) Plant B (kWh)3,952.80 4,036.003,276.00 4,036.003,636.00 4,036.003,636.00 3,264.003,636.00 864.003,636.00 1,368.004,068.00 2,196.004,068.00 4,392.004,362.00 5,220.004,362.00 3,600.004,362.00 3,960.004,362.00 4,428.003,882.00 756.003,808.80 612.003,808.80 684.00
A new material is being tested for use in the manufacture of electrical conduit, to determine whether it will reduce the variance in crushing strength over the old material. Crushing strengths are measured for a sample of size 16 of the old material and a sample of size 20 of the new material. If it is shown that the crushing strength with the new material has smaller variance, the new material will be used.
In building an arena, steel bars with a mean ultimate tensile strength of 400Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The projectengineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa.The decision for the extension of the contract with the manufacturer depends on the engineer.Test the hypothesis whether or not there is no significant difference between the two meansusing a two-tailed test with a = 0.01.
You may need to use the appropriate technology to answer this question. The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0005. Suppose the sample variance for 30 parts turns out to be s2 = 0.0006. Use ? = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses. H0: ?2 < 0.0005 Ha: ?2 ≥ 0.0005 H0: ?2 ≥ 0.0005 Ha: ?2 < 0.0005 H0: ?2 > 0.0005 Ha: ?2 ≤ 0.0005 H0: ?2 ≤ 0.0005 Ha: ?2 > 0.0005 H0: ?2 = 0.0005 Ha: ?2 ≠ 0.0005 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. The sample does support the conclusion that the population…
Perform the test hypothesis on the following scenarios. In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether there is no significant difference between the two means using a two - tailed with a=0.01 .
For screened coke, the porosity factor is measured by the difference in weight between dry and soaked coke. A certain supply of coke is claimed to have a porosity factor of 1.5 kilograms. Ten samples are tested, resulting in amean porosity factor of 1.9 kilograms and a variance of 0.04. Is there sufficient evidence to indicate that the coke is more porous than is claimed? Use and assume the porosity measurements are approximately normally distributed.
The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0008. Suppose the sample variance for 30 parts turns out to be s2 = 0.0009.Use ? = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses. H0: σ2 ≥ 0.0008 Ha: σ2 < 0.0008 H0: σ2 ≤ 0.0008 Ha: σ2 > 0.0008 H0: σ2 < 0.0008 Ha: σ2 ≥ 0.0008 H0: σ2 > 0.0008 Ha: σ2 ≤ 0.0008 H0: σ2 = 0.0008 Ha: σ2 ≠ 0.0008 Find the value of the test statistic. ( ) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. The sample does support the conclusion that the population variance specification is being violated.…
In building an arena , steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa ) with a variance of 81 MPa were delivered by the manufacturer . The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa The decision for the extension of the contract with the manufacture depends on the engineer . Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed test with a = 0.01 1. What are the appropriate hypotheses for the two tailed test ? 2. What is the test statistic to be used and the reasons for its selection ? 3. What is the critical value c? 4. What is the value of the test statistic or the computed value? 5. Formulate a conclusion about the given situation
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.25. A dietician is asked to test this claim and finds that a random sample of 22 servings has a variance of 1.35. At ⍶ = 0.05 is there enough evidence to reject the manufacturer’s claim?

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