A large car company states that a brake system will function properly for 5.1 years with a standarddeviation of 0.9 years before needing maintenance. To test whether the brakes actually wear outsooner, an independent research facility took a random sample of 40 cars made by thatmanufacturer and found the average time the brake system functioned before needingmaintenance to be 4.1 years.State the appropriate null and alternative hypotheses.Ho:H₂:At a = 0.01, what is the correct conclusion for the hypothesis test?

According to the given information in this questionWe need to find the conclusion of the test

Answered: A large car company states that a brake…

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 manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weight is known to be normal, with a standard deviation of 0.4 ounces. A random sample of 25 boxes yielded a sample mean weight of 19.59 ounces. Test at the 1% significance level the null hypothesis that the population mean weight is at least 20 ounces. What are the null and alternative hypotheses for this test? Ο Α. Η: με 20 H₁: μ> 20 OC. H₂ = 20 Η;: μ = 19.59 OA. Reject H₂ if For this test at the significance level a with sample mean x, hypothesized mean Ho, population standard deviation o, sample size n, and za or Za/2, what is the form of the decision rule? OB. Reject Ho if OC. Reject Ho if X-Ho 0/√n X-Ho 0/√n ->Za X-Ho Zal2 OB. Ho: μ=20 H₁: μ#20 OD. Ho: ≥20 H₁: μ<20 is is not significant evidence that the population mean weight is not at least 20 ounces.
A random sample of 11 size AA batteries for toys yield a mean of 2.98 hours with standard deviation, 1.19 hours. (a) Find the critical value, t?/2, for a 99% CI. ??/2 = (b) Find the margin of error for a 99% CI.
In a set of experiments, a physicist makes multiple independent measurements of an electric field. In total, 1600 measurements are made, and we find that the standard deviation of the measurements is 2 V/m, and the mean is 100.0 V/m. Measured in Volts per metre, what is the width of the 95% confidence interval for the value of the field?
If chi-square is NOT statistically significant with a sample size of 100 and sample size is increased to 1,000, the new chi-square: a. will have the same likelihood of being statistically significant than the previous chi-square b. cannot tell until the new chi-square is calculated c. will be less likely to be statistically significant d. will be more likely to be statistically signficant
7
Bo is buying some nails for a project. They are interested in whether the boxes are significantly lighter than advertised. The company says the box of nails should weigh 10 lbs but Bo finds the average weight of 8 boxes is 9.8 lbs with a standard deviation of .4 lbs. Assume an alpha of .10.
You have been asked to study the weight of hogs, to see if they are achieving a target weight of 750 pounds after a move to a lower-cost feedstock. You have the following information: • Hộ H = 750 pounds • H: u = 750 pounds • Critical value: Reject Ho if x bar 780 pounds • Sample error for your data = 15.811 pounds (based on a population standard deviation of 50 pounds and a sample size of 10) Assume that the weights follow a normal distribution. What would be your Type I Error to be concerned about in this test (to 3 decimal places)? Answer: What would be your Type II Error, if the actual population mean turns out to be 810 pounds? Answer:
Please solve the problem manually
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 749 hours. A random sample of 28 light bulbs has a mean life of 720 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At α = 0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. A. Ho: μ> 749 Ha: ≤749 (claim) D. Ho: μ≤ 720 Ha: μ>720 (claim) B. Ho: μ = 720 Ha: μ#720 (claim) E. Ho: μ#749(claim) Ha: μ = 749 O C. Ho: μ<720 (claim) Ha:μ ≥720 OF. Ho: μ ≥749 (claim) Ha: μ<749
A nutritionist claims that the mean tuna consumption by a person is 3.8 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.5 pounds per year. Assume the population standard deviation is 1.04 pounds. At α=0.09, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ=3.8 Ha: μ≠3.8 B. H0: μ≠3.5 Ha: μ=3.5 C. H0: μ>3.5 Ha: μ≤3.5 D. H0: μ>3.8 Ha: μ≤3.8 E. H0: μ≤3.5 Ha: μ>3.5 F. H0: μ≤3.8 Ha:μ>3.8 b) Identify the standardized test statistic. z= (Round to two decimal places as needed.) (c) Find the P-value. (d) Decide whether to reject or fail to reject the null hypothesis. A. Reject H0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.8pounds. B. Reject H0. There is sufficient evidence to reject the claim that mean tuna consumption is equal to…
The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 150 vs. Ha: μ > 150 B. Ho: μ = 150 vs. Ha: μ < 150 C. Ho: μ = 148 vs. Ha: μ > 148 D. Ho: μ = 148 vs. Ha: μ < 148
Question 2 A paired-samples test is reported as t(18) = 1.73. Make a decision about this test, assuming a two-tailed hypothesis test with a p level of 0.05. Fail to reject the null hypothesis. O Reject the null hypothesis. Reject the research hypothesis. Fail to reject the research hypothesis.

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