A company subcontracts the mass production of a die casting of fixed design. Four primary typesof defects have been identified and records have been kept providing a "standard" againstwhich defect distribution for batches may be judged, For a given batch of 2693 castings thefollowing data apply. Do the batch data vary significantly from the standard at 99% confidencelevel?5.重TDefectDistributionResults forPercentIdentificationType AType B IBatch 20735.51442.779Туре С3.386Type D1.542Non-defective87.023421002693

Null Hypothesis: H0: All five proportions are equal. Alternative Hypothesis: H1: At least two…

Answered: A company subcontracts the mass…

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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The south African department of health is concerned that the average percentage mark-up on a particular products during the dawn of covid-19 pandemic is 41% or above. To test their concern, they sampled 40 that sell the product, and found that the mean percentage mark-up was 49.1%. Assume that the population deviation of the percentage mark-up is 18.7% and answer the following questions: What is the appropriate test statistic for this management scenario? Why?
Based on a survey of 225 employed persons in Ramallah, the mean and variance of the commuting distances between home and the principal place of business are found to be 8 and 9 kilometers, respectively. Determine a 95% confidence interval for the mean commuting distance for the population of all employed persons in Ramallah.
We have developed a new drug used to reduce fever and want to test its efficacy. Ten ER patients who are running a fever agree to take the new drug instead of the traditional treatment. Their temperatures are taken before the drug is administered and 30 minutes after taking the drug. The results are recorded in the Excel file below. Use the data to construct and interpret a 99% confidence interval for the mean change in temperatures of patients after taking this drug using Excel. Be sure to include any explanation necessary along with a sentence that explains what the interval means. First Temp Second Temp 100.1 98.9 101.3 99.1 102.1 99.2 102.7 99 101.9 98.7 100.8 98.6 103.1 99.4 102.5 99.2 103.5 100.1 101.7 99.2
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x= 99.11, y = 100.1, r=0.872, P-value = 0.000, and y = 7.99 +0.93x, where x represents the IQ score of the twin bom first. Find the best predicted value of y given that the twin born first has an IQ of 96? Use a significance level of 0.05. 1 Critical Values of the Pearson Correlation Coefficient r E Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is. Critical Values of the Pearson Correlation Coefficient r a = 0.01 NOTE: To test Ho: p=0 against H,: p#0, reject H, if the absolute value of r is greater than the critical value in the table. (Round to two decimal places as needed.) a = 0.05 4 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.834 0.798 0.765 0.735 0.708 8 0.707 9 0.666 10 0.632 11 0.602 0.576 0.553 12 0.684 13 0.661 0.641 0.623 0.606 14 0.532 0.514 15 16 17 0.497 0.482 0.468 0.456 0.444 0.590 0.575…
An I/O psychologist wants to know if there is a difference in worker evaluations depending if the evaluator is a male or female. 15 men and 15 women managers were asked to rate on a scale of 0-10 the same group of worker files. The ratings on the worker evaluations were recorded for each manager. Which statistical test would be best to determine if there is a significant difference between groups? one-sample t-test dependent samples t-test independent samples t-test ANOVA
Taxi Brand A Brand B1 38,300 39,8002 37,700 38,1003 42,200 43,0004 42,300 41,6005 48,200 47,0006 36,100 40,4007 35,300 36,4008 44,600 45,900
A study was conducted using 50 mobile network users who volunteered to participate in a research as the entry of the third telco player in the country is on its way. One of the variables studied was the data connection speed in the previous month. Based on the data in the following table, is there a significant difference between the connectivity speeds of the two present mobile networks during the previous month? Use a 5% level of significance and assume that the population variances are equal. 1. The alternative hypothesis for the test would be? 2. The alternative hypothesis for the test would be? 3. What is the computed value of the test statistic? 4. What would be your decision?
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers provides a mean of 6.34 and a standard deviation of 2.163. Develop a 95% confidence interval estimate of the population mean rating for Miami.
(i) identify the variable(s) in the study, (ii) for each vari- able tell the type of variable (e.g.,categorical and ordinal, discrete, etc.), (iii) identify the observational unit (the thing sampled), and (iv) determine the sample size.
your company has just installed a new computer data entry system and you must determine the new input error rates. Management requires you to report the error rates within 0.5% at a 95 confidence level. What sample size do you need if the population standard deviation is 1.2%.
2. In a length of hospitalization study conducted by several cooperating hospitals, a random sample of 64 peptic ulcer patients was drawn from a list of all peptic ulcer patients ever admitted to the participating hospitals and the length of hospitalization per admission was determined for each. The mean length of hospitalization was found to be 8.25 days. The population standard deviation is known to be 3 days. Calculate a 95% confidence interval for the population mean, and explain the interpretation of this interval.
To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine Machine 2 1 6.4 7.9 5.3 7.6 8.4 7.6 8.6 7.3 Ha: M₁ M₂ # 9.4 10.2 9.3 9.8 Ho: M₁ = M₂ = M3 = μ4 M3 ‡ M4 # Ho: M₁ M₂ # M3 ‡ M4 На: M1 = M2 = M3=Ма Machine 3 10.8 Ho: M₁ = M₂ = M3 = M4 Ha: 10.1 9.5 10.2 8.9 8.7 Machine 4 9.7 12.8 12.1 (a) At the α = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines? State the null and alternative hypotheses. 10.7 11.1 11.4 Ho: At least two of the population means are equal. H₂: At least two of the population means are different. Not all the population means are equal. Ho: Not all the population means are equal. На: M1 = M2 = M3 = M4

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