### Analysis of Accident Rates at Controlled IntersectionsThe average number of accidents at controlled intersections per year is 5.4. We are examining if this average is higher for intersections with cameras installed. In a sample of 47 intersections with cameras, the observed average was 5.9 accidents per year with a standard deviation of 1.08. The analysis is conducted at a 0.01 level of significance.#### Steps for the Analysis:a. **Test Type Selection** - Choose the appropriate test for analysis.b. **Hypothesis Setup** - Null Hypothesis ($H_0$): The average is 5.4 accidents per year. - Alternative Hypothesis ($H_1$): The average is more than 5.4 accidents per year.c. **Calculate the Test Statistic** - Compute the test statistic to three decimal places.d. **Determine the p-value** - Compute the p-value to four decimal places.e. **Compare p-value with Significance Level ($\alpha$)** - Assess whether the p-value is less than $\alpha = 0.01$.f. **Decision on Null Hypothesis** - Decide whether to reject or fail to reject the null hypothesis.g. **Conclusion** - Based on the analysis, conclude whether the average number of accidents is significantly higher at intersections with cameras.h. **Interpret p-value Contextually** - Explanation of the p-value in the context of the study, assessing Type I error risk.#### Conclusion Options:1. **Significant Increase** - The data indicate that the population mean is significantly more than 5.4, providing substantial evidence that intersections with cameras have more than 5.4 accidents per year.2. **No Significant Increase** - The data suggest no significant increase beyond 5.4, indicating insufficient evidence for a higher accident mean at intersections with cameras.3. **Sample Mean Analysis** - Evaluates if the sample mean significantly differs from 5.9, assessing specific sample characteristics rather than population inference.#### Contextual Interpretation:- Explain statistical error risks, particularly the potential of a Type I error (incorrect rejection of a true null hypothesis).- Discuss implications if the population accident mean is indeed higher or matches 5.4 under observation of similar intersection samples.This analysis guides understanding whether traffic cameras at intersections correlate with accident rates, and whether observed differences are statistically The document provides questions related to statistical analysis in the context of a study on traffic accidents:h. Interpret the p-value in the context of the study.- There is a 0.13407982% chance that the population mean number of accidents per year at intersections with cameras installed is greater than 5.4.- There is a 0.13407982% chance of a Type I error.- If the population mean number of accidents per year at intersections with cameras installed is 5.4 and if another 47 intersections with cameras installed are observed, then there would be a 0.13407982% chance that the population mean number of accidents per year at intersections with cameras installed would be greater than 5.4.- If the population mean number of accidents per year at intersections with cameras installed is 5.4 and if another 47 intersections with cameras installed are observed, then there would be a 0.13407982% chance that the sample mean for these 47 intersections with cameras installed would be greater than 5.9.i. Interpret the level of significance in the context of the study.- If the population mean number of accidents per year at intersections with cameras installed is 5.4 and if another 47 intersections with cameras installed are observed, then there would be a 1% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is more than 5.4.- If the population mean number of accidents per year at intersections with cameras installed is more than 5.4 and if another 47 intersections with cameras installed are observed, then there would be a 1% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is equal to 5.4.- There is a 1% chance that you will get in a car accident, so please wear a seat belt.- There is a 1% chance that the population mean number of accidents per year at intersections with cameras installed is more than 5.4.

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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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Use the departure delay times and the arrival delay times to test the claim that there is a correlation between departure delay times and arrival delay times. Test for rank correlation with a 0.05 significance level. Click here to view the flight delay data. Click here to view the critical values of Spearman's rank correlation coefficient. Flight delay data .... Determine the null and alternative hypotheses for this test. Choose the correct answer below. O A. Hg: Ps =0 Departure Delay Arrival Departure Delay Arrival O B. Ho: Ps #0 H: Ps = 0 Departure Delay Arrival H: Ps #0 Delay Delay Delay - 36 -7 11 14 OC. Ho:r 0 H:r=0 O D. Ho: r =0 H:rg 40 -21 15 25 -33 10 -32 Determine the the correlation coefficient. - 5 32 13 4 12 16 -23 (Round to three decimal places as needed.) 3 14 -38 60 28 13 3 13 149 111 Determine the critical value(s) of the correlation coefficient, -38 -7 -35 - 3 -21 -23 23 - 2 -10 14 (Round to three decimal places as needed. Use a comma to separate answers as needed.)…
According to the National Association of Home Builders, the average cost of building a home in the Northeast is $117.91 per square foot. A random sample of 38 new homes indicated that the mean cost was $123.87 and the standard deviation was $17. Can it be concluded that the mean cost differs from $117.91, using the 0.10 level of significance? A.) State the hypotheses and identify the claim with the correct hypothesis. H0: H1: B.) Find the critical value(s). C.) Compute the test value. z= D.) Make the decision. ________ the null hypothesis. E.) Summarize the results.
The average salary in this city is $46,700. Is the average different for single people? 53 randomly selected single people who were surveyed had an average salary of $48,860 and a standard deviation of $9,210. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v H1: Select an er v answe c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. (Please show your answer to 4 decimal places.) g. Thus, the final conclusion is that .. O The data suggest that the sample mean is not significantly different from 46,700 at a = 0.05, so there is statistically insignificant evidence to conclude that the sample mean salary for singles is different from 48,860. O The data suggest that the population mean is not significantly different from 46,700…
please answer d, e, f
The average number of accidents at controlled intersections per year is 5.6. Is this average a different number for intersections with cameras installed? The 67 randomly observed intersections with cameras installed had an average of 5.8 accidents per year and the standard deviation was 0.6. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v H1: ? v Select an answer V c. The test statistic ? V = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... the null hypothesis. The data suggest that the population mean is not significantly different from 5.6 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean number of accidents per year at…
According to a large oil company, the average cost per barrel of oil last year was $47. You believe that due to the current oil crisis in Russia and Iran that the cost of a barrel of oil has decreased. You collect a simple random sample of 60 barrels of oil and find an average price of $42 and a standard deviation of $12. Use this information to answer the following questions and conduct the hypothesis test with a level of significance of a = .01. You may use Statcrunch or a calculator. Write all non-calculation answers in complete sentences. a. Which test would you use and why? b. Write the null and alternative hypothesis in complete sentences. (Make sure you mark which is the null and which is the alternative.) c. Write the null and alternative hypothesis as symbols. d. State the requirements that have been met to run the test. e. What is the test statistic and the p-value? (Make sure you use the right notation.) f. Should you reject or fail to reject the null hypothesis? g. State…
The average salary for American college graduates is $44,300. You suspect that the average is different for graduates from your college. The 61 randomly selected graduates from your college had an average salary of $44,099 and a standard deviation of $4,460. What can be concluded at the a = 0.10 level of significance? a. For this study, we should useSelect an answer b. The null and alternative hypotheses would be: Họ: vSelect an answer H: ? vSelect an answer c. The test statistic (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is va the null hypothesis. f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly different from 44,300 at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is different from 44,300. The data suggest that…
The commercial for the new Meat Man Barbecue claims that it takes 9 minutes for assembly. A consumer advocate thinks that the assembly time is higher than 9 minutes. The advocate surveyed 14 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 9.7 minutes. The standard deviation for this survey group was 2.2 minutes. What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Ho: H1: c. The test statistic (t 1.191 (please show your answer to 3 decimal places.) d. The p-value = 0.1169 (Please show your answer to 4 decimal places.) e. The p-value is ? ▼ a f. Based on this, we should | Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the population mean amount of time to assemble the Meat Man barbecue is not significantly higher than 9 at a = 0.05,…
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The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 4.5 ounces. 6 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. 1. For the 6 people, find the probability that the average coffee consumption is between 14.5 and 17.5 ounces of coffee per day. 2. Find the IQR for the average of 6 coffee drinkers.Q1 = _____ouncesQ3 = _____ ouncesIQR: _____ ounces
A sample of 42 observations is selected from one population with a population standard deviation of 4.5. The sample mean is 100.5. A sample of 56 observations is selected from a second population with a population standard deviation of 3.8. The sample mean is 98.5. Conduct the following test of hypothesis using the 0.10 significance level. H₂ H₁ H₂ H₁ H₁ H₂ a. Is this a one-tailed or a two-tailed test? O One-tailed test O Two-tailed test b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject H0 if z is the interval (

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