The weekly number of accidents on a highway was studied:Number of accidentsNumber of weeks02411423Use hypothesis testing method to determine if it is reasonable to claim that the number ofaccidents per week follows a Poisson distribution with mean of 1.16 (set the significance level as5%).

Hypotheses: Null hypothesis: The number of accidents per week follows Poisson distribution with mean…

Answered: The weekly number of accidents on a…

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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The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 96 Married, no children 29% 118 Single parent 9% 37 One person 25% 95 Other (e.g., roommates, siblings) 11% 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are the same.H1: The distributions are different. H0: The distributions are different.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different. (b) Find the…
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Hours 47 47 55 51 48 65 51 52 50 49 51 54 What are the correct hypotheses? Ho: Select an answer ✓ ? ✓ Ha: Select an answer ✓ Test Statistic= hours Based on the hypotheses, find the following: p-value= hours (Give answer to at least 4 decimal places.) (Give answer to at least 4 decimal places).
Do rats take less time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 36, 35, 22, 42, 25, 14, 31, 14 Hamsters: 41, 37, 12, 46, 39, 46, 38, 45, 27, 29 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? ♥ a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically insignificant at a = 0.05, so there is statistically…
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) Percent of U.S. Households 26% 29% 9% 25% 11% Observed Number of Households in the Community 106 112 37 91 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.
Do rats take the same amount of time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 31, 26, 35, 34, 31, 39, 39, 6 Hamsters: 36, 35, 16, 29, 20, 25, 28, 37 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this studv, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer V (please enter a decimal) H1: Select an answer v Select an answer v v (Please enter a decimal) Select an answer b. The test statistic ?v= (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.05, so there is…
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number of Households in the Community Percent of U.S. Type of Household Households Married with children 26% 110 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 101 32 25% 98 11% 70 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the nul and alternate hypotheses. O Ho: The distributions are different. H: The distributions are the same. O Hg: The distributions are the same. H: The distributions are different. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test…
Do men score lower on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and twelve randomly selected female statistics students are shown below. Male: 89 94 88 64 57 58 62 83 82 88 57 78 Female: 81 80 65 66 97 92 70 94 82 90 65 93 Assume both follow a Normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer ♥ (Please enter a decimal) b. The test statistic ? v = (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? v a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The results are…
Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work an equal number of volunteer hours on average compared to sorority sisters? The data below show the number of volunteer hours worked for twelve randomly selected fraternity brothers and thirteen randomly selected sorority sisters. Brothers: 12 12 12 14 10 Sisters: 8 6 7 2 5 4 Assume both follow a Normal distribution. What can be concluded at the a = 0.10 level of significance level of significance? For this study, we should use t-test for the difference between two independent population means Ho: H₁: μ1 μ1 b. The test statistic t a. The null and alternative hypotheses would be: c. The p-value = 0.0015 d. The p-value is ≤ ✓ = 2 a 4 12 5 3 4 13 7 5 7 7666 μ2 μ2 (please enter a decimal) (Please enter a decimal) 3.592 X (please show your answer to 3 decimal places.) X (Please show your answer to 4 decimal places.)
A. What is the sample variance?B. What is the mode and kurtosis of the data C. In a box-and-whisker plot, what is the IQR?
Suppose that the time it takes a student to complete an assignment is normally distributed with mean 60 and variance 100 then the 65th percentile of the average time it takes a random sample of 36 students to complete the assignment is closest to O a. 61. O b. 59. O c. 66. O d. 64. O e. 56.
The article cited in Exercise 19 provides measures of electrical conductivity (in uS/cm). The results are presented in the following table. Sample Size 49 Location Mean SD Upstream 463 208 Midstream 363 98 31 Downstream 647 878 30 Can a one-way analysis of variance be used to determine whether conductivity varies with location? Or is one of the necessary assumptions violated? Explain.
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are foot lengths in inches of randomly selected women in a study of a country's military in 1988. Are the statistics representative of the current population of all women in that country's military? 9.7 8.9 9.2 8.9 9.8 9.9 10.3 8.6 10.5 9.2 9.2 D

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