A manufacturer produces crankshafts for an automobile engine. The crankshafts wear after 100,000 miles(0.0001 inch) is of interest because it is likely to have an impact on warranty claims. A random sample ofn = 15 shafts is tested and = 2.78. It is known that o = 0.9 and that wear is normally distributed.Question 1: Parameter of interest for this testQuestion 2: Test Họ: µ = 2.5 versus Hj: µ # 2.5, a = 0.05Question 3: What is the power of the test if true u = 3.10Question 4: Sample size required to detect a true mean of 3.10 if we wanted the power to be at least 0.9? Question 1a. nz 15Question 2b.n =24v Question 3C. Fail to reject Ho. There is no sufficient evidence tosupport the claim that the mean wear of crankshaftsQuestion 4differs from 2.5 at a = 0.05d.0.2670e. Reject Ho. There is evidence to support the claim thatthe mean wear differs from 2.5 at a = 0.05f. Mean wear of crankshaftsg. 0.7330

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Answered: A manufacturer produces crankshafts for…

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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A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.23. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.27. At α=0.10, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. (b) Find the critical value(s). I do not know how to calculate the critical value with my calculator. I have a TI83+.
An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of their life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 33 newborn babies has a mean weight loss of 6.2 ounces. The population standard deviation is 1.5 ounces. Is there enough evidence at (alpha) = 0.01 to support this claim? Assume that the variable is normally distributed. Use the critical value method with tables. A. State the hypotheses and identify the claim with the correct hypothesis. B. Find the critical value(s). C. Compute the test value. D. Make the decision. E. Summarize the results.
If the alpha level changed from a=0.05 to a=0.01, what happens to the critical region and ehat happens to the probability of type 1 error
An auto manufacturer claims that the variance of the gas mileage in a model of a hybrid vehicle is 0.16. A random sample of 30 vehicles has a variance of 0.26. At alpha = 0.05, is there enough evidence to reject the claim? Assume the population is normally distributed.
An analogue signal received at a detector, measured in microvolts, is normally distributed with mean of 185 and variance of 244. What is the probability that is the signal will be less than 203 µV given that it is less than 184 µV?
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.141.14. A dietician is asked to test this claim and finds that a random sample of 2424 servings has a variance of 0.950.95. At alpha equals 0.10α=0.10, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed.
CONSIDER that the data is UNCORRELATED use alpha .05. Provide the following: 1. CI of the F value 2. Statistical Interpretation
If our significant value falls below alpha, which is set at .05, we are over 95% confident that the results did not happen by chance. true or false?
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.
A random sample of 22 women participated in a study testing whether a new banana boat sunscreen reduced their incident rate of sunburn during the summer. The average woman in the study reported getting burned 5.7 times over the past 3 months, with a SS = 179. Compare this incident rate to a rate of 7 times per 3 months. Use an alpha of .05, 2 tailed test. a) What is the t-critical value(s)? b) What is the estimated standard error? c) Compute the t-statistic. d) Make a decision regarding the null and provide a conclusion (explain what it means in regards to this particular study).
A research center claims that at least 2626% of adults in a certain country think that their taxes will be audited. In a random sample of 900900 adults in that country in a recent year, 2323% say they are concerned that their taxes will be audited. At alphaαequals=0.100.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. Identify the critical values
The Firearm Injury Surveillance Study (FISS) records whether the shooting arose out of a fight and the type of firearm used to cause the injury (here, handguns vs. rifles and shotguns). With an alpha of .01, conduct a five-step hypothesis test to determine if the variables are independent. Please fill out the chart provided and provide calculations. Fight Involved Handgun Long Gun Row Marginal Yes 158A 11B 169 No 309C 133D 442 Column Marginal 467 144 N = 611 Expected Frequency Count fe Calculations χ2obt Calculations:

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