2. A researcher claims that at least 10% of all football helmets have manufacturing flawsthat could potentially cause injury to the wearer. A sample of 200 helmets revealed that16 helmets contained such defects. Use a=0.05.(a) Test the hypothesis that the defective rate is greater than 10% using the P-value.(b) Test the hypothesis using a conference interval on the defective rate.

Given that A researcher claims that at least 10% of all football helmets have manufacturing flaws…

Answered: 2. A researcher claims that at least…

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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People end up tossing 12% of what they buy at the grocery store (Reader's Digest, March 2009). Assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior. Answer questions 8-10.
A certain magazine stated that the mean time for a Ford Mustang to go from 0 to 60 miles per hour is 4.1 seconds. (a) If you want to set up a statistical test to challenge the claim of 4.1 seconds, what would you use for the null hypothesis? 04.1 O = 4.1 (b) The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer Leadville (because of less oxygen). What would you use for the alternate hypothesis? OH 4.1 OM 4.1 O = 4.1 (c) Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. What would you use for the alternate hypothesis? OH> 4.1 O μ< 4.1 OH 4.1. (d) For each of the tests in parts (b) and (c), would the P-value area be on the left, on the right, or on both sides of the mean? O left; both O right; left O left; right O both; left
A previous study showed to determine whether a sales tax on soda will reduce consumption of soda in the US below the current per-capita level of about 50 gallons of soda per year. Hypotheses Test is Ho: m(mue) =50 vs. Ha: m<50 where m (mue) represents the average annual consumption of soda in communities where the sales tax is implemented. (b) Now supposed sample results give a p-value of 0.41. Interpret this p-value in terms of random chance and in the context of taxes and soda consumption.
To evaluate the effect of a treatment, a sample is obtained from a population with a mean of 20 and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be X = 17.7 with a standard deviation of ô = 3. (a) If the sample consists of N = 16 individuals, are the data sufficient to conclude that the treatment decreases scores? (b) If the sample consists of N = 36 individuals, are the data sufficient to conclude that the treatment decreases scores? (c) Comparing your answers for parts (a) and (b), how does the size of the sample influence the size of the obtained Bayes factor?
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 59% at a level of significance of α= 0.01. According to your sample, 36 out of 71 potential voters prefer the Democratic candidate. The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
A standard quality check found that out of 200 light globes, 6 had a defect. (i) If the sample proportion is approximately normally distributed, show that the mean and sample standard deviation are 0.03 and 0.01206 respectively. Z 0.4 0.5 0.6 0.7 0.8 (ii) Find the z-score if 4 light globes in this sample are defective. (iii) Use the section of the table showing the values of P(Z
1. In the past, a chemical company produced 880 pounds of a certain type of plastic per day. Now, using a newly developed and less expensive process, the mean daily yield of plastic for the first 50 days of production is 871 pounds; the standard deviation is 21 pounds. Do the data provide sufficient evidence to indicate that the mean daily yield for the new process is less than that of the old procedure? (Use α=0.05) (d) Conclusion of the test above is Reject the null hypothesis and the mean daily yield for the new process is less than that of the old procedure. Reject the null hypothesis and the mean daily yield for the new process is not less than that of the old procedure. Do not reject the null hypothesis and the mean daily yield for the new process is less than that of the old procedure. Do not reject the null hypothesis and the mean daily yield for the new process is not less than that of the old procedure.
The standard deviation in the pressure required to open a certain valve is known to be o = 0.8 psi. Due to changes in the manufacturing process, the quality-control manager feels that the pressure variability has been reduced. (a) State the null and alternative hypotheses in words. (b) State the null and alternative hypotheses symbolically. (c) Explain what it would mean to make a Type I error. (d) Explain what it would mean to make a Type II error. (a) State the null hypothesis in words. Choose the correct answer below. A. The standard deviation in the pressure required to open any valve is 0.8 psi. B. The standard deviation in the pressure required to open a certain valve is different from 0.8 psi. C. The standard deviation in the pressure required to open a certain valve is greater than 0.8 psi. D. The standard deviation in the pressure required to open a certain valve is 0.8 psi. State the alternative hypothesis in words. Choose the correct answer below. O A. The standard deviation…
13. Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.37 parts per million and the standard deviation is 2.12 parts per million. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. Which of the following correctly states H0 and Ha? H0: muμ greater than or equals≥ 2.31 2.31 Ha: muμ less than< 2.31 2.31 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. Part 2 (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0=negative 1.30 −1.30. (Use a comma to separate answers as…

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