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- In winter of a country, it rains 45% of the days and shine 55% of the days. Mr. X has abarometer which wrongly predicts 5% of the time in rainy days and 10% on shiny days.Mr. X does not carry umbrella if barometer predicts shine. On good shiny morning inwinter, his barometer predicts “shine” and he does not carry umbrella. What is theprobability that Mr. X will suffer from rain on that day.A company manufacturing computer chips finds that 5% of all chips manufactured are defective. Management is concerned that employee inattention is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to offer incentives to employees who have lower defect rates on their shifts. The incentive program is instituted for one month. If successful, the company will continue with the incentive program. a. Write the company's null and alternative hypotheses. Make sure to include the correct parameter, sign and number.Ho: H1: b. In this context describe a Type I error and the impact such an error would have on the company. Management thinks the incentive program was effective, when in fact it did not lower the defective rate from 5%. Management thinks the incentive program did not work, when in fact it did lower the defective rate from 5%. c. In this context describe a Type II error and the impact such an error…Zap Media is a major video distributor that purchases blank DVDs from two sources: Media Makers, which provides 64% of the DVDs and Disk Supply, which provides the remaining 36%. Historically, 4.3% of the DVDs Zap Media has purchased from Media Makers have been defective, whereas 7.7% of the DVDs purchased from Disk Supply have been defective. Use this information and a theoretical group of 10,000 blank DVDs to construct a table for this purchasing scenario. Round all answers and results to four decimal places.
- A dietitian wants to test if on the average a person’s cholesterol level will be lowered if their diet is supplemented with a certain mineral. Six subjects have their cholesterol level tested before taking this mineral and again after taking this mineral for a 3 months. The measured cholesterol levels are listed in the table below: Level Before Mineral 210 235 208 190 172 244 Level After Mineral 190 170 210 188 173 228 When doing a Hypothesis Test to test this dietitian's claim the Degree of Freedom used and the computed P-value are A.) Degree of Freedom = 10 and P-value = 0.1349 B.) Degree of Freedom = 9.6562 and P-value = 0.1354 C.) Degree of Freedom = 5 and P-Value = 0.1688 D.) Degree of Freedom = 5 and P-value = 0.0844A research center claims that more than 29% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that country, 77 have changed jobs in the past three years. At alphaαequals=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing% of employees in the country have changed jobs in the past three years. B. More than nothing% of employees in the country have changed jobs in the past three years. C. The percentage of employees in the country who have changed jobs in the past three years is not nothing%. D. nothing% of employees in the country have changed jobs in the past three years.…A research center claims that more than 29% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that country, 77 have changed jobs in the past three years. At alphaαequals=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing% of employees in the country have changed jobs in the past three years. B. More than nothing% of employees in the country have changed jobs in the past three years. C. The percentage of employees in the country who have changed jobs in the past three years is not nothing%. D. nothing% of employees in the country have changed jobs in the past three years.…
- In a study with a non-directional hypothesis… A) There are two rejection regions that have the same area that adds up to the alpha level. B) There is a single rejection region with an area that corresponds to the alpha level. C) There are two rejection regions that have the same area that adds up to the p-value. D) There is a single rejection region with an area that corresponds to the p-value.A company manufacturing computer chips finds that 9% of all chips manufactured are defective. Management is concerned that employee inattention is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to offer incentives to employees who have lower defect rates on their shifts. The incentive program is instituted for one month. If successful, the company will continue with the incentive program. a. Write the company's null and alternative hypotheses. Make sure to include the correct parameter, sign and number.Ho: H1: b. In this context describe a Type I error and the impact such an error would have on the company. Management thinks the incentive program was effective, when in fact it did not lower the defective rate from 9%. Management thinks the incentive program did not work, when in fact it did lower the defective rate from 9%. c. In this context describe a Type II error and the impact such an error…An industrial concern has experimented with several different mixtures of the fourcomponents—magnesium, sodium nitrate, strontium nitrate, and a binder—that comprise arocket propellant. The company has found that two mixtures, in particular, give higher flare illumination values than the others. Mixture 1 consists of a blend composed of the proportions.40, .10, .42, and .08, respectively, for the four components of the mixture; mixture 2 consists ofa blend using the proportions .60, .25, .10, and .05. Twenty different blends (10 of each mixture)are prepared and tested to obtain the flare-illumination values. These data appear here (in unitsof 1,000 candles).Mixture 1 185 192 201 215 170 190 175 172 198 202Mixture 2 221 210 215 202 204 196 225 230 214 217a. Plot the sample data. Which test(s) could be used to compare the meanillumination values for the two mixtures?b. Give the level of significance of the test and interpret your findings
- Can you use these results and Theorem 12.2 (see image) to test the nullhypothesis that ? = 150 thousand miles against the alternative hypothesis ? < 150 thousand miles at the 0.01 level of significance for the following: the times to failure of a power train component in a certain car make and model are (in thousands of miles) 225, 459, 54, 180, 585, 558, 36, 342, 270, 378, 108, 396, 18, 252,135, 18, 162, 297, 171, and 27. Consider these data to be a random sample from an exponential (?) population.4) Here are data on the lengths of male and female roaches (in mm). Your job is to find out if there is adifference between male and female roaches (this should be two sided - why?).males 15.4 13.9 12.7 9.6 6.6 10.7 9.9 13.3 16.2 9.0 11.4 16.6 12.2females 16.7 16.3 12.8 16.9 15.1 12.8 18.7 18.3 8.6 13.6 15.3 16.2 13.4It's up to you to figure out what the best procedure is, what kind of hypotheses to use, which α to use,what test to use, and so on. Make sure you follow all the appropriate steps. You should probably use Ras you’ll get done much quicker. Remember to very clearly state your results in writing. Never turn in just an R printout .Hint: how do you decide which test to use? What kind of distributions do the data have?Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?